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"6#>%+Tscheby1_1GR 6#%\"PG6\"6$%)operatorG%&arrowGF(-%#fnG6$9$\"\"\"F(F(F(" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%+Tscheby1_3GR6#%\"PG6\"6$%)operatorG%&arrowGF( *&\"\"\"F-*&,&\"\"\"F09$$\"&c@#!\"%\"\"\",(F0F0F1$\"%UaF4*$)F1\"\"#F-$ \"&d?\"F4\"\"\"!\"\"F(F(F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%,Tsche by1_10GR6#%\"PG6\"6$%)operatorG%&arrowGF(*&\"\"\"F-*,,(\"\"\"F09$$\"&C O'!\"%*$)F1\"\"#F-$\"'ouAF4\"\"\",(F0F0F1$\"&*R6F4F5$\"&n^%F4\"\"\",(F 0F0F1$\"%RRF4F5$\"&l'>F4\"\"\",(F0F0F1$\"%;;F4F5$\"&pD\"F4\"\"\",(F0F0 F1$\"$b%F4F5$\"&x-\"F4\"\"\"!\"\"F(F(F(" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 17 "Tschebyscheff 3dB" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 230 "Tscheby3_1 := (P)->fn(P,1);\nTscheby3_3 := P->1/((1+3.3496*P)*( 1+0.3559*P+1.1923*P^2));\nTscheby3_10 := P->1/((1+5.4449*P+31.3788*P^2 )*(1+0.7414*P+4.7363*P^2)*(1+0.2479*P+1.9952*P^2)*(1+0.1008*P+1.2638*P ^2)*(1+0.0283*P+1.0304*P^2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+Ts cheby3_1GR6#%\"PG6\"6$%)operatorG%&arrowGF(-%#fnG6$9$\"\"\"F(F(F(" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%+Tscheby3_3GR6#%\"PG6\"6$%)operatorG %&arrowGF(*&\"\"\"F-*&,&\"\"\"F09$$\"&'\\L!\"%\"\"\",(F0F0F1$\"%fNF4*$ )F1\"\"#F-$\"&B>\"F4\"\"\"!\"\"F(F(F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%,Tscheby3_10GR6#%\"PG6\"6$%)operatorG%&arrowGF(*&\"\"\"F-*,,(\"\" \"F09$$\"&\\W&!\"%*$)F1\"\"#F-$\"')y8$F4\"\"\",(F0F0F1$\"%9uF4F5$\"&jt %F4\"\"\",(F0F0F1$\"%zCF4F5$\"&_*>F4\"\"\",(F0F0F1$\"%35F4F5$\"&QE\"F4 \"\"\",(F0F0F1$\"$$GF4F5$\"&/.\"F4\"\"\"!\"\"F(F(F(" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 17 "Tschebyscheff II " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "with(orthopoly,T):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "T(20,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,8\"\"\"F$ *$)%\"xG\"#;\"\"\"\"(g0d&*$)F'\"#9F)!(+Ob'*$)F'\"#7F)\"(+#fY*$)F'\"#?F )\"')GC&*$)F'\"#=F)!(S9i#*$)F'\"#5F)!([+0#*$)F'\"\")F)\"'?\"\\&*$)F'\" \"'F)!&![%)*$)F'\"\"%F)\"%+m*$)F'\"\"#F)!$+#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "abs(TschebyII_1(I,0.36,0.45,3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+<2Flz!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "T(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "loglo gplot(abs(TschebyII_1(I*x,0.46,1,2)),x=0.01..100);" }}{PARA 13 "" 1 " " {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7eo7$$!+++++?!\"*$ \"+Saq)=*!#:7$$!+A8y!\\&!#5$\"+')o_Fn!#77$$!+t#F:7$$!+ ,*pMh\"F:$!+6%oi\\&F:7$$\"+*>$z_8F:$!+Ogg[!*F:7$$\"+OmMHTF:$!+w(*zN8F1 7$$\"+6Z+RnF:$!+mI-N=F17$$\"+p&)p+#*F:$!+?A>$R#F17$$\"+^5.`6F1$!+#y;9+ $F17$$\"+P&HTP\"F1$!+A)QHl$F17$$\"+L^^%e\"F1$!+_01WVF17$$\"+z\"y^y\"F1 $!+!4)eu]F17$$\"+Rx(p(>F1$!+FT;[eF17$$\"+?Qmg@F1$!+I)eGn'F17$$\"+1JD1D F1$!+Xs.R&)F17$$\"+fwNEGF1$!++yQ#4\"F*7$$\"+]$zW7$F1$!+z^^q9F*7$$\"+FW W.MF1$!+i5i0CF*7$$\"+\"HtYD%F1$!+mn,Y5F*7$$\"+Q#*3m\\F1$!+fcW=')F17$$ \"+wf?xbF1$!+d!Qwy(F17$$\"+Y<%G6'F1$!+^h?=tF17$$\"+ck#*>rF1$!+5`oxnF17 $$\"+['yo$zF1$!+jsS@lF17$$\"+PmUG')F1$!+)pTrP'F17$$\"+2'F17$$\"+V F2@8F*$!+$4+=1'F17$$\"+ZH3f8F*$!+&p[^0'F17$$\"+p_B)R\"F*$!+IKU\\gF17$$ \"+'\\*GM9F*$!+Aq*\\/'F17$$\"+#Q8kY\"F*$!+N6jTgF17$$\"+s$fO\\\"F*$!++S 9RgF17$$\"+R(yR_\"F*$!+e8sOgF17$$\"+vW5[:F*$!+PB-NgF17$$\"+a&zXd\"F*$! +5OOLgF17$$\"+!QRnf\"F*$!+AJ7KgF17$$\"+Q\"=)>;F*$!+(Qf4.'F17$$\"+)=52k \"F*$!+Zx+IgF17$$\"+$z([h;F*$!+[\"[\"HgF17$$\"+J.tz;F*$!+5&e%GgF17$$\" +zXe)p\"F*$!+CU!y-'F17$$\"+&)*Qtr\"F*$!+7v?FgF17$$\"+`..LF*$!+'G?L-'F17$$\"+]!f3#>F*$!+Kl=Bg F17$$\"+\"*=xJ>F*$!+0(fI-'F17$$\"+R,LU>F*$!+BH%H-'F17$$\"+]3\"=&>F*$!+ 'zUG-'F17$$\"+A#GC'>F*$!+IdtAgF17$$\"+-&4<(>F*$!+RjkAgF17$$\"+e:R\")>F *$!+pqbAgF17$$\"+L1Y!*>F*$!+!*pZAgF17$$\"+++++?F*$!+*G'RAgF1-%'COLOURG 6&%$RGBG$\"#5!\"\"\"\"!Fjbl-%+AXESLABELSG6$Q\"x6\"%!G-%%VIEWG6$;F(F_bl %(DEFAULTG-%*AXESTICKSG6$7O/F(Q&.1e-1F_cl/$!+/+(*)p\"F*Q!6\"/$!+X(yG_ \"F*F_dl/$!+4+%zR\"F*F_dl/$!+'**H5I\"F*F_dl/$!+]([=A\"F*F_dl/$!+g>!\\: \"F*F_dl/$!+8+\"p4\"F*F_dl/$!+\"\\dd/\"F*F_dl/FiblQ#.1F_cl/$!+T+q*)pF1 F_dl/$!+^uyG_F1F_dl/$!+(3+%zRF1F_dl/$!+d**H5IF1F_dl/$!+'\\([=AF1F_dl/$ !++'>!\\:F1F_dl/$!++8+\"p*F:F_dl/$!+e!\\dd%F:F_dl/FjblQ#1.F_cl/$\"+d** H5IF1F_dl/$\"+\\D@rZF1F_dl/$\"+8**f?gF1F_dl/$\"+T+q*)pF1F_dl/$\"+.D^\" y(F1F_dl/$\"++/)4X)F1F_dl/$\"+r)**3.*F1F_dl/$\"+$4DCa*F1F_dl/\"\"\"Q%. 1e2F_cl/$\"+'**H5I\"F*F_dl/$\"+b77x9F*F_dl/$\"+\"**f?g\"F*F_dl/$\"+/+( *)p\"F*F_dl/$\"+]7:yF*F_dl/$\"+4DC a>F*F_dl/F_blQ%.1e3F_cl/$\"+'**H5I#F*F_dl/$\"+b77xCF*F_dl/$\"+\"**f?g# F*F_dl/$\"+/+(*)p#F*F_dl/$\"+]7:yFF*F_dl/$\"+S!)4XGF*F_dl/$\"+()**3.HF *F_dl/$\"+4DCaHF*F_dl7O/$!+++++IF*Q&.1e-2F_cl/$!+/+(*)p#F*F_dl/$!+X(yG _#F*F_dl/$!+4+%zR#F*F_dl/$!+'**H5I#F*F_dl/$!+]([=A#F*F_dl/$!+g>!\\:#F* F_dl/$!+8+\"p4#F*F_dl/$!+\"\\dd/#F*F_dlFjclF\\dlFadlFddlFgdlFjdlF]elF` elFcelFfelFhelF[flF^flFaflFdflFgflFjflF]glF`glFbglFeglFhglF[hlF^hlFahl FdhlFghlFjhlF]ilF`ilFcilFfilFiilF\\jlF_jlFbjl" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 500 "TschebyII_1 := (P,alpha,k,epsilon)->(alpha^2*P^2+1)/(1+alpha* epsilon*P+alpha^2*epsilon^2*P^2);\nTschebyII_3_1 := P->TschebyII_1(P,0 .46,1,2);\nTschebyII_3 := (P,alpha,k,epsilon)->(alpha^2*P^2+1)*(alpha^ 2*k^2*P^2+1)/(1+alpha*epsilon*P+alpha^2*epsilon^2*P^2)/(1+alpha*epsilo n*P+alpha^2*epsilon^2*P^2);\nTschebyII_3_3 := P->TschebyII_3(P,0.36,0. 45,3);\nTschebyII_3_10 := (P)->(524288+261440*P^2+5570560*P^4+6553600* P^6+4659200*P^8+2050048*P^10+549120*P^12+84480*P^14+6600*P^16+200*P^18 +P^20)/524288/(1+P^21);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,TschebyI I_1GR6&%\"PG%&alphaG%\"kG%(epsilonG6\"6$%)operatorG%&arrowGF+*&,&*&)9% \"\"#\"\"\")9$F4F5\"\"\"F8F8F5,(F8F8*(F3F89'F8F7F8F8*(F2F5)F;F4F5F6F5F 8!\"\"F+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%.TschebyII_3_1GR6#% \"PG6\"6$%)operatorG%&arrowGF(-%,TschebyII_1G6&9$$\"#Y!\"#\"\"\"\"\"#F (F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,TschebyII_3GR6&%\"PG%&alph aG%\"kG%(epsilonG6\"6$%)operatorG%&arrowGF+*&*&,&*&)9%\"\"#\"\"\")9$F5 F6\"\"\"F9F9F9,&*(F3F6)9&F5F6F7F6F9F9F9F9F6*$),(F9F9*(F4F99'F9F8F9F9*( F3F6)FBF5F6F7F6F9\"\"#F6!\"\"F+F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%.TschebyII_3_3GR6#%\"PG6\"6$%)operatorG%&arrowGF(-%,TschebyII_3G6&9 $$\"#O!\"#$\"#XF2\"\"$F(F(F(" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%/Tsc hebyII_3_10GR6#%\"PG6\"6$%)operatorG%&arrowGF(,$*&,8\"')GC&\"\"\"*$)9$ \"\"#\"\"\"\"'S9E*$)F3\"\"%F5\"(g0d&*$)F3\"\"'F5\"(+Ob'*$)F3\"\")F5\"( +#fY*$)F3\"#5F5\"([+0#*$)F3\"#7F5\"'?\"\\&*$)F3\"#9F5\"&![%)*$)F3\"#;F 5\"%+m*$)F3\"#=F5\"$+#*$)F3\"#?F5F0F5,&F0F0*$)F3\"#@F5F0!\"\"#F0F/F(F( F(" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 7 "Allpass" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 608 "Allpass_1 := P-> (1-0.6436*P)/(1+0.6436*P) ;\nAllpass_3 := P -> ((1-1.1415*P)*(1-1.5092*P+1.0877*P^2))/((1+1.1415 *P)*(1+1.5092*P+1.0877*P^2));\nAllpass_10 := P->(\n (1-2 .8406*P+2.0490*P^2)*\n (1-2.6120*P+1.9714*P^2)*\n \+ (1-2.1733*P+1.8184*P^2)*\n (1-1.5583*P+1.5923*P^ 2)*\n (1-0.8018*P+1.2877*P^2)\n )/\n \+ (\n (1+2.8406*P+2.0490*P^2)*\n (1+2 .6120*P+1.9714*P^2)*\n (1+2.1733*P+1.8184*P^2)*\n \+ (1+1.5583*P+1.5923*P^2)*\n (1+0.8018*P+1.2877*P^ 2)\n ) ;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 12 "Schwin gkreis" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "Schwink := (P,Q)- > (1+P*Q)/(1+P/Q+P^2);\nsimplify(evalc(Re(Schwink(I*Omega,Q))));\nsimp lify(evalc(Im(Schwink(I*Omega,Q))));" }}}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Tiefp\344sse" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Kriti sche Filter" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Phasenbild" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 649 "p1 := complexplot(fn(I*10^x ,1), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], ti tle=`Kritischer Tiefpass 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,B OLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, \+ -1..1]):\np2 := complexplot(fn(I*10^x,3), x=-10..10,color=red,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np3 : = complexplot(fn(I*10^x,10), x=-10..10,color=blue,\nnumpoints=200,thic kness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np4 := complexplo t(fn(I*10^x,30), x=-10..10,color=green,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[-1..1, -1..1]):\nplots[display](\{p1,p2,p3,p 4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plot output=`gleich_kritisch_Phasenbild.eps`,plotoptions=`portrait,noborder ,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 649 "p1 := complexplot(fn(I*10^x,1), x=-10..10,color=blac k,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Kritischer Tiefpass \+ 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np2 := complexpl ot(fn(I*10^x,3), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[-1..1, -1..1]):\np3 := complexplot(fn(I*10^x,1 0), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[-1..1, -1..1]):\np4 := complexplot(fn(I*10^x,30), x=-10..1 0,color=green,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view= [-1..1, -1..1]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := loglogplot(evalf(abs(fn(I*x,1))), x=0.01..100, color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Kritischer Tiefp ass 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 \+ := loglogplot(evalf(abs(fn(I*x,3))), x=0.01..100,color=red,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]): \np3 := loglogplot(evalf(abs(fn(I*x,10))), x=0.010..100,color=blue,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2 )..2]):\np4 := loglogplot(evalf(abs(fn(I*x,30))), x=0.01..100,color=gr een,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,10^(-2)..2]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_kritisch_Bod eAmpli.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height =4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := loglogplo t(evalf(abs(fn(I*x,1))), x=0.01..100,color=black,\nlabels=[`Frequenz`, `Amplitude`], title=`Kritischer Tiefpass 1.,3.,10.,30. Ordnung`,titlef ont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(fn(I*x,3) )), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(fn(I* x,10))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,10^(-2)..2]):\np4 := loglogplot(evalf(ab s(fn(I*x,30))), x=0.01..100,color=green,\nnumpoints=200,thickness=2,ax es=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p 1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 657 "p1 := semilogplot(evalf(18 0*argument(fn(I*x,1))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz `,`Phase`], title=`Kritischer Tiefpass 1.,3.,10.,30. Ordnung`,titlefon t=[HELVETICA,BOLD,9], numpoints=400,thickness=2,axes=boxed,linestyle=1 ):\np2 := semilogplot(evalf(180*argument(fn(I*x,3))/Pi), x=0.01..100,c olor=red,\nnumpoints=500,thickness=2,axes=boxed,linestyle=1):\np3 := s emilogplot(evalf(180*argument(fn(I*x,10))/Pi), x=0.010..100,color=blue ,\nnumpoints=1000,thickness=2,axes=boxed,linestyle=1):\np4 := semilogp lot(evalf(180*argument(fn(I*x,30))/Pi), x=0.01..100,color=green,\nnump oints=1000,thickness=2,axes=boxed,linestyle=1):\nplots[display](\{p1,p 2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(p s,plotoutput=`gleich_kritisch_BodePhase.eps`,plotoptions=`portrait,nob order,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 655 "p1 := semilogplot(evalf(180*argument(fn(I*x,1))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Kritisc her Tiefpass 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], nump oints=200,thickness=2,axes=boxed,linestyle=1):\np2 := semilogplot(eval f(180*argument(fn(I*x,3))/Pi), x=0.01..100,color=red,\nnumpoints=300,t hickness=2,axes=boxed,linestyle=1):\np3 := semilogplot(evalf(180*argum ent(fn(I*x,10))/Pi), x=0.010..100,color=blue,\nnumpoints=500,thickness =2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(180*argument(fn(I *x,30))/Pi), x=0.01..100,color=green,\nnumpoints=700,thickness=2,axes= boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 861 "p1 := semilogplot(eval( -diff(evalc(argument( fn( I*y,1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequ enz`,`Gruppenlaufzeit`], title=`Kritischer Tiefpass 1.,3.,10.,18. Ordn ung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,0.0..1]):\np2 := semilogplot(eval( -dif f(evalc(argument( fn(I*y,3))), y), y = x )/(2*Pi), x=0.01..100,color=r ed,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, 0.0..1]):\np3 := semilogplot(eval( -diff(evalc(argument( fn(I*y,10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2, axes=boxed,linestyle=1,view=[0.01..100,0.0..1]):\np4 := semilogplot(ev al( -diff(evalc(argument( fn(I*y,18))), y), y=x )/(2*Pi), x=0.01..100, color=green,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0 .01..100,0.0..1]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_kritisch _Gruppenlz.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,he ight=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 857 "p1 := semil ogplot(eval( -diff(evalc(argument( fn(I*y,1))), y), y = x )/(2*Pi), x= 0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=` Kritischer Tiefpass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], \+ numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0.. 1]):\np2 := semilogplot(eval( -diff(evalc(argument( fn(I*y,3))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,0.0..1]):\np3 := semilogplot(eval( - diff(evalc(argument( fn(I*y,10))), y), y=x )/(2*Pi), x=0.01..100,color =blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,0.0..1]):\np4 := semilogplot(eval( -diff(evalc(argument( fn(I*y,18) )), y), y=x )/(2*Pi), x=0.01..100,color=green,\nnumpoints=200,thicknes s=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..1]):\nplots[display]( \{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotse tup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "Butterworth T iefp\344sse" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := complexplot(butterwor th1(I*10^x), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rte il`], title=`Butterworth Tiefpass 1.,3.,10. Ordnung + kritischer Tiefp ass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9],numpoints=200,thickness =2,axes=boxed,linestyle=1):\np2 := complexplot(butterworth3(I*10^x), x =-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1) :\np3 := complexplot(butterworth10(I*10^x), x=-10..10,color=blue,\nnum points=200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn( I*10^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=box ed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gl eich_Butterw_Phasenbild.eps`,plotoptions=`portrait,noborder,colour=rgb ,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := complexplot(butterworth1(I*10^x), x=-10..10,color=black,\nl abels=[`Realteil`,`Imagin\344rteil`], title=`Butterworth Tiefpass 1.,3 .,10. Ordnung + kritischer Tiefpass 10. Ordnung`,titlefont=[HELVETICA, BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := com plexplot(butterworth3(I*10^x), x=-10..10,color=red,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1):\np3 := complexplot(butterworth10(I*1 0^x), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,line style=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\nnu mpoints=200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[di splay](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplo t:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 592 "p1 := loglog plot(evalf(abs(butterworth1(I*x))), x=0.01..100,color=black,\nlabels=[ `Frequenz`,`Amplitude`], title=`Butterworth Tiefpass 1.,3.,10. Ordnung `,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,l inestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(b utterworth3(I*x))), x=0.01..100,color=red,\nnumpoints=200,thickness=2, axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot (evalf(abs(butterworth10(I*x))), x=0.010..100,color=blue,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np lots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Butterw_BodeAmpli.eps`,plotopti ons=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 592 "p1 := loglogplot(evalf(abs(butterw orth1(I*x))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude` ], title=`Butterworth Tiefpass 1.,3.,10. Ordnung`, titlefont=[HELVETIC A,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01. .100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(butterworth3(I*x))), x= 0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(butterworth 10(I*x))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2, p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default );" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 622 "p1 := semilogplot(evalf(180*argume nt(butterworth1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz `,`Phase`], title=`Butterworth Tiefpass 1.,3.,10. Ordnung`,titlefont=[ HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vi ew=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(butte rworth3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,ax es=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(e valf(180*argument(butterworth10(I*x))/Pi), x=0.01..100,color=blue,\nnu mpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..1 80]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Butterw_BodePhase.ep s`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 622 "p1 := semilogplot(evalf( 180*argument(butterworth1(I*x))/Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Phase`], title=`Butterworth Tiefpass 1.,3.,10. Ordnung`, \+ titlefont=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,line style=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argu ment(butterworth3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints=40,thic kness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := sem ilogplot(evalf(180*argument(butterworth10(I*x))/Pi), x=0.01..100,color =blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 701 "p1 := semilogplot(eval( -diff(evalc(argument( butterworth1(I* y))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz` ,`Gruppenlaufzeit`], title=`Butterworth Tiefpass 1.,3.,10. Ordnung`,ti tlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,line style=1,view=[0.01..100,0.0..2]):\np2 := semilogplot(eval( -diff(evalc (argument( butterworth3(I*y))), y), y = x )/(2*Pi), x=0.01..100,color= red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,0.0..2]):\np3 := semilogplot(eval( -diff(evalc(argument( butterworth1 0(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..2]):\nplots[displ ay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plot setup(ps,plotoutput=`gleich_Butterw_Gruppenlz.eps`,plotoptions=`portra it,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 701 "p1 := semilogplot(eval( -diff(evalc(argument( butterworth1(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nla bels=[`Frequenz`,`Gruppenlaufzeit`], title=`Butterworth Tiefpass 1.,3. ,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,0.0..2]):\np2 := semilogplot(e val( -diff(evalc(argument( butterworth3(I*y))), y), y = x )/(2*Pi), x= 0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,0.0..2]):\np3 := semilogplot(eval( -diff(evalc(argume nt( butterworth10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..2 ]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 15 "Besseltiefp\344sse" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 617 "p1 := com plexplot(bessel1(I*10^x), x=-10..10,color=black,\nlabels=[`Realteil`,` Imagin\344rteil`], title=`Bessel Tiefpass 1.,3.,10. Ordnung + kritisch er Tiefpass 10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200, thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(bessel3(I*10^x ), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1):\np3 := complexplot(bessel10(I*10^x), x=-10..10,color=blue,\nnump oints=200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(I *10^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gl eich_Bessel_Phasenbild.eps`,plotoptions=`portrait,noborder,colour=rgb, width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 617 "p1 := complexplot(bessel1(I*10^x), x=-10..10,color=black,\nlabels=[`R ealteil`,`Imagin\344rteil`], title=`Bessel Tiefpass 1.,3.,10. Ordnung \+ + kritischer Tiefpass 10. Ordnung`,titlefont=[HELVETICA,BOLD,9], nump oints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(bess el3(I*10^x), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1):\np3 := complexplot(bessel10(I*10^x), x=-10..10,color=b lue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np4 := comple xplot(fn(I*10^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\}) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" } }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 573 "p1 := loglogplot(evalf(abs(bessel1 (I*x))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], ti tle=`Bessel Tiefpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^( -2)..2]):\np2 := loglogplot(evalf(abs(bessel3(I*x))), x=0.01..100,colo r=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,10^(-2)..2]):\np3 := loglogplot(evalf(abs(bessel10(I*x))), x=0.010. .100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,vie w=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "plotsetup(ps,plotoutput=`gleich_Be ssel_BodeAmpli.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4i n,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 573 "p1 := l oglogplot(evalf(abs(bessel1(I*x))), x=0.01..100,color=black,\nlabels=[ `Frequenz`,`Amplitude`], title=`Bessel Tiefpass 1.,3.,10. Ordnung`, ti tlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(besse l3(I*x))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(ab s(bessel10(I*x))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display]( \{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 603 "p1 := semilogplot(evalf(18 0*argument(bessel1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequ enz`,`Phase`], title=`Bessel Tiefpass 1.,3.,10. Ordnung`, titlefont=[H ELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vie w=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(bessel 3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(1 80*argument(bessel10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplot s[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "plotsetup(ps,plotoutput=`gleich_Bessel_BodePhase.eps`,plotoptions =`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 603 "p1 := semilogplot(evalf(180*argume nt(bessel1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Ph ase`], title=`Bessel Tiefpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA ,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01. .100,-180..180]):\np2 := semilogplot(evalf(180*argument(bessel3(I*x))/ Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argum ent(bessel10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[displa y](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotse tup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzei t" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 681 "p1 := semilogplot(eval ( -diff(evalc(argument( bessel1(I*y))), y), y = x )/(2*Pi), x=0.01..10 0,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Bessel T iefpass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..1]):\np2 := \+ semilogplot(eval( -diff(evalc(argument( bessel3(I*y))), y), y = x )/(2 *Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,lin estyle=1,view=[0.01..100,0.0..1]):\np3 := semilogplot(eval( -diff(eval c(argument( bessel10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0 ..1]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "plotsetup(ps,plotoutput=`gleich_Bessel_Gruppenlz.eps `,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`);" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 681 "p1 := semilogplot(eval( - diff(evalc(argument( bessel1(I*y))), y), y = x )/(2*Pi), x=0.01..100,c olor=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Bessel Tief pass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..1]):\np2 := sem ilogplot(eval( -diff(evalc(argument( bessel3(I*y))), y), y = x )/(2*Pi ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,0.0..1]):\np3 := semilogplot(eval( -diff(evalc(a rgument( bessel10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..1 ]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 24 "Tschebyscheff-Filter 1dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 638 " p1 := complexplot(Tscheby1_1(I*10^x), x=-10..10,color=black,\nlabels=[ `Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Tiefpass 1dB 1.,3. ,10. Ordnung + kritischer Tiefpass 10. Ordnung`, titlefont=[HELVETICA, BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := com plexplot(Tscheby1_3(I*10^x), x=-10..10,color=red,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1):\np3 := complexplot(Tscheby1_10(I*10^x) , x=-10..10,color=blue,\nnumpoints=1200,thickness=2,axes=boxed,linesty le=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\nnumpo ints=200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[displ ay](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "p lotsetup(ps,plotoutput=`gleich_Tscheby1_Phasenbild.eps`,plotoptions=`p ortrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 638 "p1 := complexplot(Tscheby1_1(I*10^x), x= -10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Ts chebyscheff Tiefpass 1dB 1.,3.,10. Ordnung + kritischer Tiefpass 10. O rdnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes= boxed,linestyle=1):\np2 := complexplot(Tscheby1_3(I*10^x), x=-10..10,c olor=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := c omplexplot(Tscheby1_10(I*10^x), x=-10..10,color=blue,\nnumpoints=1200, thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 594 "p1 := loglogplot(evalf(abs(Tscheby1_1(I*x))), x=0.01 ..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tschebysch eff Tiefpass 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], num points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2). .2]):\np2 := loglogplot(evalf(abs(Tscheby1_3(I*x))), x=0.01..100,color =red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby1_10(I*x))), x=0.01 0..100,color=blue,\nnumpoints=1000,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gl eich_Tscheby1_BodeAmpli.eps`,plotoptions=`portrait,noborder,colour=rgb ,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 594 "p1 := loglogplot(evalf(abs(Tscheby1_1(I*x))), x=0.01..100,color=b lack,\nlabels=[`Frequenz`,`Amplitude`], title=`Tschebyscheff Tiefpass \+ 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,th ickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := \+ loglogplot(evalf(abs(Tscheby1_3(I*x))), x=0.01..100,color=red,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2] ):\np3 := loglogplot(evalf(abs(Tscheby1_10(I*x))), x=0.010..100,color= blue,\nnumpoints=1000,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 623 "p1 := semilogplot(evalf(180*argument(Tscheby1_1(I*x))/Pi), x=0. 01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebyschef f Tiefpass 1dB 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpo ints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180] ):\np2 := semilogplot(evalf(180*argument(Tscheby1_3(I*x))/Pi), x=0.01. .100,color=red,\nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view= [0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argument(Tscheby1 _10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p 2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,p lotoutput=`gleich_Tscheby1_BodePhase.eps`,plotoptions=`portrait,nobord er,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 623 "p1 := semilogplot(evalf(180*argument(Tscheby1_1(I*x) )/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`T schebyscheff Tiefpass 1dB 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOL D,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-180..180]):\np2 := semilogplot(evalf(180*argument(Tscheby1_3(I*x))/P i), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argume nt(Tscheby1_10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[disp lay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot setup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufz eit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 701 "p1 := semilogplot(ev al( -diff(evalc(argument( Tscheby1_1(I*y))), y), y = x )/(2*Pi), x=0.0 1..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tsc hebyscheff Tiefpass 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9 ], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0 .0..8]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby1_3(I*y ))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..8]):\np3 := semilogpl ot(eval( -diff(evalc(argument( Tscheby1_10(I*y))), y), y=x )/(2*Pi), x =0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,0.0..8]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gl eich_Tscheby1_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour=rgb ,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheby1_1(I*y))), \+ y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Grup penlaufzeit`], title=`Tschebyscheff Tiefpass 1dB 1.,3.,10. Ordnung`,ti tlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,line style=1,view=[0.01..100,0.0..12]):\np2 := semilogplot(eval( -diff(eval c(argument( Tscheby1_3(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=r ed,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, 0.0..12]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby1_10( I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..12]):\nplots[displa y](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotse tup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 25 "Tschebyscheff -Filter 3 dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 638 "p1 := complexplot(Tscheby3_ 1(I*10^x), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil `], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10. Ordnung + kritischer T iefpass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thic kness=2,axes=boxed,linestyle=1):\np2 := complexplot(Tscheby3_3(I*10^x) , x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1):\np3 := complexplot(Tscheby3_10(I*10^x), x=-10..10,color=blue,\nnu mpoints=1500,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(f n(I*10^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=b oxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gl eich_Tscheby3_Phasenbild.eps`,plotoptions=`portrait,noborder,colour=rg b,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 638 "p1 := complexplot(Tscheby3_1(I*10^x), x=-10..10,color=black,\nlab els=[`Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Tiefpass 3dB \+ 1.,3.,10. Ordnung + kritischer Tiefpass 10. Ordnung`, titlefont=[HELVE TICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 : = complexplot(Tscheby3_3(I*10^x), x=-10..10,color=red,\nnumpoints=200, thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(Tscheby3_10(I* 10^x), x=-10..10,color=blue,\nnumpoints=1500,thickness=2,axes=boxed,li nestyle=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\n numpoints=200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[ display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bode plot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 594 "p1 := log logplot(evalf(abs(Tscheby3_1(I*x))), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Amplitude`], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10. \+ Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(eva lf(abs(Tscheby3_3(I*x))), x=0.01..100,color=red,\nnumpoints=200,thickn ess=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := logl ogplot(evalf(abs(Tscheby3_10(I*x))), x=0.010..100,color=blue,\nnumpoin ts=1000,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2] ):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_Tscheby3_BodeAmpli.e ps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 594 "p1 := loglogplot(evalf (abs(Tscheby3_1(I*x))), x=0.01..100,color=black,\nlabels=[`Frequenz`,` Amplitude`], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10. Ordnung`,titl efont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheb y3_3(I*x))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf( abs(Tscheby3_10(I*x))), x=0.010..100,color=blue,\nnumpoints=1000,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[dis play](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plo tsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Ph ase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 624 "p1 := semilogplot(ev alf(180*argument(Tscheby3_1(I*x))/Pi), x=0.01..100,color=black,\nlabel s=[`Frequenz`,`Phase`], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10. Or dnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=b oxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf (180*argument(Tscheby3_3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints= 200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np 3 := semilogplot(evalf(180*argument(Tscheby3_10(I*x))/Pi), x=0.01..100 ,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0 .01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_Tscheby3 _BodePhase.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,he ight=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 624 "p1 := semil ogplot(evalf(180*argument(Tscheby3_1(I*x))/Pi), x=0.01..100,color=blac k,\nlabels=[`Frequenz`,`Phase`], title=`Tschebyscheff Tiefpass 3dB 1., 3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness =2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogp lot(evalf(180*argument(Tscheby3_3(I*x))/Pi), x=0.01..100,color=red,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180.. 180]):\np3 := semilogplot(evalf(180*argument(Tscheby3_10(I*x))/Pi), x= 0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eval( -diff(evalc(argu ment( Tscheby3_1(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=black, \nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..12]):\np2 := se milogplot(eval( -diff(evalc(argument( Tscheby3_3(I*y))), y), y = x )/( 2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,li nestyle=1,view=[0.01..100,0.0..12]):\np3 := semilogplot(eval( -diff(ev alc(argument( Tscheby3_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color= blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,0.0..12]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_Tscheby3_Gruppenl z.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in` );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(ev al( -diff(evalc(argument( Tscheby3_1(I*y))), y), y = x )/(2*Pi), x=0.0 1..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tsc hebyscheff Tiefpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9 ], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0 .0..12]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby3_3(I* y))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickn ess=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..12]):\np3 := semilog plot(eval( -diff(evalc(argument( Tscheby3_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,0.0..12]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 28 "Tschebyscheff-Filter II 3 dB" }} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 650 "p1 := complexplot(TschebyII_3_1(I*10^x), x=-1 0..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tsch ebyscheff II Tiefpass 3dB 1.,3.,10. Ordnung + kritischer Tiefpass 10. \+ Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes =boxed,linestyle=1):\np2 := complexplot(TschebyII_3_3(I*10^x), x=-10.. 10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 \+ := complexplot(TschebyII_3_10(I*10^x), x=-10..10,color=blue,\nnumpoint s=1500,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(I*10 ^x,10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,l inestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6*-%'CURVESG6&7hy7$$\"++ +++5!\"*$!++++g@!#>7$F($!+1-t^FF-7$F($!+A--(R$F-7$F($!+3Y<0VF-7$F($!+m *)okaF-7$F($!+3xjGpF-7$F($!+9r7M')F-7$F($!+xoO%3\"!#=7$F($!+s&>DP\"FC7 $F($!+8<$ft\"FC7$F($!+/'y.@#FC7$F($!+7DfMFFC7$F($!+9.!\\Z$FC7$F($!+w*p *>WFC7$F($!+E$pJd&FC7$F($!+mb5zoFC7$F($!+9'**e$))FC7$F($!+E*>B4\"!#<7$ F($!+Y@#zR\"F\\o7$F($!+iv0R5\"3S\"F[q7$F($!+JF%yw\"F[q7$F($!+) 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Ordnung + kritischer Tiefpass 10. Ordnung`, t itlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,line style=1):\np2 := complexplot(Tscheby3_3(I*10^x), x=-10..10,color=red, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplo t(Tscheby3_10(I*10^x), x=-10..10,color=blue,\nnumpoints=1500,thickness =2,axes=boxed,linestyle=1):\np4 := complexplot(fn(I*10^x,10), x=-10..1 0,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color =green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(TschebyII_3_1(I*x))), x=0.01..100, color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tschebyscheff II Tiefpass 3dB 1.,3.,10. 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Ordnung`,titlefont=[HELVETICA,BOLD,9], num points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2). .2]):\np2 := loglogplot(evalf(abs(Tscheby3_3(I*x))), x=0.01..100,color =red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby3_10(I*x))), x=0.01 0..100,color=blue,\nnumpoints=1000,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := semilogplot(evalf(180*argument(Tsche byII_3_1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phas e`], title=`Tschebyscheff Tiefpass II 3dB 1.,3.,10. Ordnung`,titlefont =[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(Ts chebyII_3_3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints=200,thickness =2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogp lot(evalf(180*argument(TschebyII_3_10(I*x))/Pi), x=0.01..100,color=blu e,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,- 180..180]):\nplots[display](\{p1,p2,p3\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6*-%'CURVESG6&7hx7$$!+++++?!\"*$!+f \"4:F&!#57$$!+psn%\\)F-$!+ZbZRvF*7$$!+OtpScF-$!+Ctx*\\\"!\")7$$!+ys;LR F-$!+)RcZL#F87$$!+w#>2r#F-$!+J/J1LF87$$!+oKXq=F-$!+o,f&H%F87$$!+3Pqm6F -$!+2!*eHaF87$$!+_T\\7c!#6$!+S:y!o'F87$$!+n`q'*H!#7$!+-Q6vzF87$$\"+E() p))\\FP$!+SGSg$*F87$$\"+KiW-(*FP$!+5h$p0\"!\"(7$$\"+L(HaR\"F-$!+&*odc6 F]o7$$\"+!)\\n#y\"F-$!+fJgO7F]o7$$\"+rR+rCF-$!+CCz_8F]o7$$\"+(p:]1$F-$ 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Ordn ung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(1 80*argument(Tscheby3_3(I*x))/Pi), x=0.01..100,color=red,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 \+ := semilogplot(evalf(180*argument(Tscheby3_10(I*x))/Pi), x=0.01..100,c olor=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.0 1..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 0 {PARA 4 " " 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 716 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheb yII_3_1(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[ `Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff II Tiefpass 3dB 1. ,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thicknes s=2,axes=boxed,linestyle=1,view=[0.01..100,-1.0..1]):\np2 := semilogpl ot(eval( -diff(evalc(argument( TschebyII_3_3(I*y))), y), y = x )/(2*Pi ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,-1.0..1]):\np3 := semilogplot(eval( -diff(evalc( argument( TschebyII_3_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=b lue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-1.0..1]):\nplots[display](\{p1,p2,p3\});" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6*-%'CURVESG6&7_y7$$!+++++?!\"*$\"1 Pj6v([&QM!#;7$$!+usn%\\)!#5$\"1yU+Ok(**f$F-7$$!+OtpScF1$\"1))H=8W1eSF- 7$$!+Aza.ZF1$\"1fpa_E$zS%F-7$$!+!GnJ$RF1$\"17cS?w*)R[F-7$$!+PG2zKF1$\" 1nAs%[.gM&F-7$$!+w#>2r#F1$\"1H)RE7?I!fF-7$$!+EiHqAF1$\"1o3@**[$RR'F-7$ $!+pKXq=F1$\"13X#H9zC%oF-7$$!+I#RV]\"F1$\"1)f7y\"H8\">(F-7$$!+3Pqm6F1$ \"1eLnX2?$Q(F-7$$!+X\\C25F1$\"1e6I`bH2uF-7$$!+9AMM&)!#6$\"1%[d^a?,Q(F- 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_u/$\"+'**H5I\"F*Fh_u/$\"+b77x9F*Fh_u/$\"+\"**f?g\"F*Fh_u/$\"+/+(*)p\" F*Fh_u/$\"+]7:yF*Fh_u/$\"+4DCa>F*F h_u/FeboQ%.1e3F]_u/$\"+'**H5I#F*Fh_u/$\"+b77xCF*Fh_u/$\"+\"**f?g#F*Fh_ u/$\"+/+(*)p#F*Fh_u/$\"+]7:yFF*Fh_u/$\"+S!)4XGF*Fh_u/$\"+()**3.HF*Fh_u /$\"+4DCaHF*Fh_u%(DEFAULTG-%%VIEWG6$;F(Febo;$F1F`au$FhcoF`co" 1 2 0 1 0 2 9 1 2 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_Tscheby3_Gruppenlz .eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eva l( -diff(evalc(argument( Tscheby3_1(I*y))), y), y = x )/(2*Pi), x=0.01 ..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tsch ebyscheff Tiefpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9] , numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0. 0..12]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby3_3(I*y ))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..12]):\np3 := semilogp lot(eval( -diff(evalc(argument( Tscheby3_10(I*y))), y), y=x )/(2*Pi), \+ x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[0.01..100,0.0..12]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 12 "Schwingkreis" }}{SECT 1 {PARA 3 " " 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 647 "p1 := complexplot(Schwink(I*10^x,1), x=-10..10,color=black,\nla bels=[`Realteil`,`Imagin\344rteil`], title=`Schwingkreis Q=1, 2,(1+6) \+ + kritischer Tiefpass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], nump oints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(Schw ink(I*10^x,2), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1):\np3 := complexplot(0.98*Schwink(I*10^x,1)-0.02*Schwi nk(I*0.3*10^x,6), x=-10..10,color=blue,\nnumpoints=1500,thickness=2,ax es=boxed,linestyle=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,col or=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=gree n):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotsetup(ps,plotoutput=`gleich_Schwink_Phasenbild.e ps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 649 "p1 := complexplot(Schw ink(I*10^x,0.3), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin \344rteil`], title=`Schwingkreis Q= 1, 2, (1+6) + kritischer Tiefpass \+ 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2, axes=boxed,linestyle=1):\np2 := complexplot(Schwink(I*10^x,1), x=-10.. 10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 \+ := complexplot(1.02*Schwink(I*10^x,1)-0.02*Schwink(I*3*10^x,6), x=-10. .10,color=blue,\nnumpoints=1500,thickness=2,axes=boxed,linestyle=1):\n p4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\nnumpoints=200 ,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[display](\{p1 ,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup( default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 599 "p1 := loglogplot(evalf( abs(Schwink(I*x,1))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Am plitude`], title=`Schwingkreis 1, 2, (1+6)`,titlefont=[HELVETICA,BOLD, 9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, 10^(-2)..5]):\np2 := loglogplot(evalf(abs(Schwink(I*x,2))), x=0.01..10 0,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0 .01..100,10^(-2)..5]):\np3 := loglogplot(evalf(abs(0.98*Schwink(I*x,1) -0.02*Schwink(I*0.3*x,6))), x=0.010..100,color=blue,\nnumpoints=1000,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..5]):\nplots [display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Schwink_BodeAmpli.eps`,plotoption s=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 599 "p1 := loglogplot(evalf(abs(Schwink (I*x,1))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], \+ title=`Schwingkreis 1, 2, (1+6)`,titlefont=[HELVETICA,BOLD,9], numpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..5] ):\np2 := loglogplot(evalf(abs(Schwink(I*x,2))), x=0.01..100,color=red ,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10 ^(-2)..5]):\np3 := loglogplot(evalf(abs(0.98*Schwink(I*x,1)-0.02*Schwi nk(I*0.3*x,6))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2, axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..5]):\nplots[display]( \{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 626 "p1 := semilogplot(evalf(18 0*argument(Schwink(I*x,1))/Pi), x=0.01..100,color=black,\nlabels=[`Fre quenz`,`Phase`], title=`Schwinkreis 1, 2, (1+6)`,titlefont=[HELVETICA, BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01. .100,-180..180]):\np2 := semilogplot(evalf(180*argument(Schwink(I*x,2) )/Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,li nestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*ar gument(0.98*Schwink(I*x,1)-0.02*Schwink(0.3*x,6))/Pi), x=0.01..100,col or=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01. .100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Schwink_Bode Phase.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height= 4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 626 "p1 := semilogplo t(evalf(180*argument(Schwink(I*x,1))/Pi), x=0.01..100,color=black,\nla bels=[`Frequenz`,`Phase`], title=`Schwinkreis 1, 2, (1+6)`,titlefont=[ HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(Schw ink(I*x,2))/Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(ev alf(180*argument(0.98*Schwink(I*x,1)-0.02*Schwink(0.3*x,6))/Pi), x=0.0 1..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 707 "p1 := semilogplot(eval( -diff(evalc(argument( Sch wink(I*y,1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[` Frequenz`,`Gruppenlaufzeit`], title=`Schwingkreis 1,2,(1+6)`,titlefont =[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,-1.0..1]):\np2 := semilogplot(eval( -diff(evalc(argum ent( Schwink(I*y,2))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnum points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-1.0..1] ):\np3 := semilogplot(eval( -diff(evalc(argument( 0.98*Schwink(I*y,1)- 0.02*Schwink(0.3*I*y,6))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\n numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-1.0. .1]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Schwink_Gruppenlz.ep s`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 707 "p1 := semilogplot(eval( \+ -diff(evalc(argument( Schwink(I*y,1))), y), y = x )/(2*Pi), x=0.01..10 0,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Schwingk reis 1,2,(1+6)`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness =2,axes=boxed,linestyle=1,view=[0.01..100,-1.0..1]):\np2 := semilogplo t(eval( -diff(evalc(argument( Schwink(I*y,2))), y), y = x )/(2*Pi), x= 0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,-1.0..1]):\np3 := semilogplot(eval( -diff(evalc(argum ent( 0.98*Schwink(I*y,1)-0.02*Schwink(I*0.3*y,6))), y), y=x )/(2*Pi), \+ x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[0.01..100,-1.0..1]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}} {SECT 1 {PARA 0 "" 0 "" {TEXT 256 9 "Hochp\344sse" }}{SECT 1 {PARA 4 " " 0 "" {TEXT -1 22 "Tiefpass-Hochpasstrafo" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 15 "th := P -> 1/P;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Kritische Filter" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Phasen bild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 665 "p1 := complexplot(f n(th(I*10^x),1), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin \344rteil`], title=`Kritischer Hochpass 1.,3.,10.,30. Ordnung`,titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[-1..1, -1..1]):\np2 := complexplot(fn(th(I*10^x),3), x=-10..10 ,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1 ..1, -1..1]):\np3 := complexplot(fn(th(I*10^x),10), x=-10..10,color=bl ue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1. .1]):\np4 := complexplot(fn(th(I*10^x),30), x=-10..10,color=green,\nnu mpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\n plots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,plotoutput=`gleich_hp_kritisch_Phasenbi ld.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in `);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 665 "p1 := complexplot(f n(th(I*10^x),1), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin \344rteil`], title=`Kritischer Hochpass 1.,3.,10.,30. Ordnung`,titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[-1..1, -1..1]):\np2 := complexplot(fn(th(I*10^x),3), x=-10..10 ,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1 ..1, -1..1]):\np3 := complexplot(fn(th(I*10^x),10), x=-10..10,color=bl ue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1. .1]):\np4 := complexplot(fn(th(I*10^x),30), x=-10..10,color=green,\nnu mpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\n plots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 735 "p1 := loglogplot(evalf(abs(fn(th(I*x),1))), x=0.01..100,color =black,\nlabels=[`Frequenz`,`Amplitude`], title=`Kritischer Hochpass 1 .,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thic kness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := lo glogplot(evalf(abs(fn(th(I*x),3))), x=0.01..100,color=red,\nnumpoints= 200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\n p3 := loglogplot(evalf(abs(fn(th(I*x),10))), x=0.010..100,color=blue, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^ (-2)..2]):\np4 := loglogplot(evalf(abs(fn(th(I*x),30))), x=0.01..100,c olor=green,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_hp _kritisch_BodeAmpli.eps`,plotoptions=`portrait,noborder,colour=rgb,wid th=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 735 "p1 := loglogplot(evalf(abs(fn(th(I*x),1))), x=0.01..100,color=black,\nla bels=[`Frequenz`,`Amplitude`], title=`Kritischer Hochpass 1.,3.,10.,30 . Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(ev alf(abs(fn(th(I*x),3))), x=0.01..100,color=red,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglo gplot(evalf(abs(fn(th(I*x),10))), x=0.010..100,color=blue,\nnumpoints= 200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\n p4 := loglogplot(evalf(abs(fn(th(I*x),30))), x=0.01..100,color=green, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^ (-2)..2]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 " " {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 673 "p1 := semilogplot(evalf(180*argument(fn(th(I*x),1))/Pi), x=0.01 ..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Kritischer Hoc hpass 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=4 00,thickness=2,axes=boxed,linestyle=1):\np2 := semilogplot(evalf(180*a rgument(fn(th(I*x),3))/Pi), x=0.01..100,color=red,\nnumpoints=500,thic kness=2,axes=boxed,linestyle=1):\np3 := semilogplot(evalf(180*argument (fn(th(I*x),10))/Pi), x=0.010..100,color=blue,\nnumpoints=1000,thickne ss=2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(180*argument(fn (th(I*x),30))/Pi), x=0.01..100,color=green,\nnumpoints=1000,thickness= 2,axes=boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_hp_kritisch_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 671 "p1 := semilogplot(evalf(180*argument(fn(th(I*x),1))/Pi), x=0.01.. 100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Kritischer Hochp ass 1.,3.,10.,30. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1):\np2 := semilogplot(evalf(180*arg ument(fn(th(I*x),3))/Pi), x=0.01..100,color=red,\nnumpoints=300,thickn ess=2,axes=boxed,linestyle=1):\np3 := semilogplot(evalf(180*argument(f n(th(I*x),10))/Pi), x=0.010..100,color=blue,\nnumpoints=500,thickness= 2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(180*argument(fn(th (I*x),30))/Pi), x=0.01..100,color=green,\nnumpoints=700,thickness=2,ax es=boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 873 "p1 := semilogplot(eval( -diff(evalc(argument( fn( th(I*y),1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`F requenz`,`Gruppenlaufzeit`], title=`Kritischer Hochpass 1.,3.,10.,18. \+ Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,0..15]):\np2 := semilogplot(eval( - diff(evalc(argument( fn(th(I*y),3))), y), y = x )/(2*Pi), x=0.01..100, color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.0 1..100,0..15]):\np3 := semilogplot(eval( -diff(evalc(argument( fn(th(I *y),10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,th ickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]):\np4 := semil ogplot(eval( -diff(evalc(argument( fn(th(I*y),18))), y), y=x )/(2*Pi), x=0.01..100,color=green,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,0..15]):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_hp_kritisch_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 873 "p1 := semilogplot(eval( -diff(evalc(argument( fn(th(I*y),1))), y) , y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppe nlaufzeit`], title=`Kritischer Hochpass 1.,3.,10.,18. Ordnung`,titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,0..15]):\np2 := semilogplot(eval( -diff(evalc(argum ent( fn(th(I*y),3))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnump oints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]): \np3 := semilogplot(eval( -diff(evalc(argument( fn(th(I*y),10))), y), \+ y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,0..15]):\np4 := semilogplot(eval( -d iff(evalc(argument( fn(th(I*y),18))), y), y=x )/(2*Pi), x=0.01..100,co lor=green,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.0 1..100,0..15]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 " " 0 "" {TEXT -1 21 "Butterworth Hochp\344sse" }}{SECT 1 {PARA 3 "" 0 " " {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 652 "p1 := complexplot(butterworth1(th(I*10^x)), x=-10..10,color=black ,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Butterworth Hochpass \+ 1.,3.,10. Ordnung + kritischer Hochpass 10. Ordnung`, titlefont=[HELVE TICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(butterworth3(th(I*10^x)), x=-10..10,color=red,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(butterwor th10(th(I*10^x)), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1):\np4 := complexplot(fn(th(I*10^x),10), x=-10..10, color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=g reen):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_hp_Butterw_Phasenbil d.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in` );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 652 "p1 := complexplot(bu tterworth1(th(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Im agin\344rteil`], title=`Butterworth Hochpass 1.,3.,10. Ordnung + kriti scher Hochpass 10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=20 0,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(butterworth3 (th(I*10^x)), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=box ed,linestyle=1):\np3 := complexplot(butterworth10(th(I*10^x)), x=-10.. 10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(th(I*10^x),10), x=-10..10,color=black,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[display](\{ p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetu p(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitu de" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 604 "p1 := loglogplot(eval f(abs(butterworth1(th(I*x)))), x=0.01..100,color=black,\nlabels=[`Freq uenz`,`Amplitude`], title=`Butterworth Hochpass 1.,3.,10. Ordnung`,tit lefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(butter worth3(th(I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,a xes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot( evalf(abs(butterworth10(th(I*x)))), x=0.010..100,color=blue,\nnumpoint s=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]): \nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gleich_hp_Butterw_BodeAmpli.eps`,plo toptions=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 604 "p1 := loglogplot(evalf(abs( butterworth1(th(I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`, `Amplitude`], title=`Butterworth Hochpass 1.,3.,10. Ordnung`, titlefon t=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(butterworth3 (th(I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf( abs(butterworth10(th(I*x)))), x=0.010..100,color=blue,\nnumpoints=200, thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplot s[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bode plot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 634 "p1 := semilog plot(evalf(180*argument(butterworth1(th(I*x)))/Pi), x=0.01..100,color= black,\nlabels=[`Frequenz`,`Phase`], title=`Butterworth Hochpass 1.,3. ,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2, axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot (evalf(180*argument(butterworth3(th(I*x)))/Pi), x=0.01..100,color=red, \nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180 ..180]):\np3 := semilogplot(evalf(180*argument(butterworth10(th(I*x))) /Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,li nestyle=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\}); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutpu t=`gleich_hp_Butterw_BodePhase.eps`,plotoptions=`portrait,noborder,col our=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 634 "p1 := semilogplot(evalf(180*argument(butterworth1(th(I*x)))/P i), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Butt erworth Hochpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9],nump oints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180 ]):\np2 := semilogplot(evalf(180*argument(butterworth3(th(I*x)))/Pi), \+ x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argument(b utterworth10(th(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[di splay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "pl otsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlau fzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 710 "p1 := semilogplot( eval( -diff(evalc(argument( butterworth1(th(I*y)))), y), y = x )/(2*Pi ), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], ti tle=`Butterworth Hochpass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD ,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-0..2]):\np2 := semilogplot(eval( -diff(evalc(argument( butterworth3( th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200, thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..2]):\np3 := sem ilogplot(eval( -diff(evalc(argument( butterworth10(th(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-0..2]):\nplots[display](\{p1,p2,p3\}); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutpu t=`gleich_hp_Butterw_Gruppenlz.eps`,plotoptions=`portrait,noborder,col our=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 710 "p1 := semilogplot(eval( -diff(evalc(argument( butterworth1(th (I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequ enz`,`Gruppenlaufzeit`], title=`Butterworth Hochpass 1.,3.,10. Ordnung `,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed, linestyle=1,view=[0.01..100,-0..2]):\np2 := semilogplot(eval( -diff(ev alc(argument( butterworth3(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100 ,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,-0..2]):\np3 := semilogplot(eval( -diff(evalc(argument( butter worth10(th(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoin ts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..2]):\npl ots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 15 "Bes selhochp\344sse" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 633 "p1 := complexplot(bessel1(t h(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rtei l`], title=`Bessel Hochpass 1.,3.,10. Ordnung + kritischer Hochpass 10 . Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,ax es=boxed,linestyle=1):\np2 := complexplot(bessel3(th(I*10^x)), x=-10.. 10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 \+ := complexplot(bessel10(th(I*10^x)), x=-10..10,color=blue,\nnumpoints= 200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(th(I*10 ^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed, linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gl eich_hp_Bessel_Phasenbild.eps`,plotoptions=`portrait,noborder,colour=r gb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 633 "p1 := complexplot(bessel1(th(I*10^x)), x=-10..10,color=black,\nla bels=[`Realteil`,`Imagin\344rteil`], title=`Bessel Hochpass 1.,3.,10. \+ Ordnung + kritischer Hochpass 10. Ordnung`,titlefont=[HELVETICA,BOLD,9 ], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexp lot(bessel3(th(I*10^x)), x=-10..10,color=red,\nnumpoints=200,thickness =2,axes=boxed,linestyle=1):\np3 := complexplot(bessel10(th(I*10^x)), x =-10..10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ):\np4 := complexplot(fn(th(I*10^x),10), x=-10..10,color=black,\nnumpo ints=200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[displ ay](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "pl otsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:A mplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 585 "p1 := loglogplo t(evalf(abs(bessel1(th(I*x)))), x=0.01..100,color=black,\nlabels=[`Fre quenz`,`Amplitude`], title=`Bessel Hochpass 1.,3.,10. Ordnung`, titlef ont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(bessel3(t h(I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(ab s(bessel10(th(I*x)))), x=0.010..100,color=blue,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[displ ay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plot setup(ps,plotoutput=`gleich_hp_Bessel_BodeAmpli.eps`,plotoptions=`port rait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 585 "p1 := loglogplot(evalf(abs(bessel1(th(I*x))) ), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`B essel Hochpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpo ints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2 ]):\np2 := loglogplot(evalf(abs(bessel3(th(I*x)))), x=0.01..100,color= red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,10^(-2)..2]):\np3 := loglogplot(evalf(abs(bessel10(th(I*x)))), x=0.01 0..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 615 "p1 := semilogplot(evalf(180*argument(besse l1(th(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase` ], title=`Bessel Hochpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOL D,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-180..180]):\np2 := semilogplot(evalf(180*argument(bessel3(th(I*x)))/ Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argum ent(bessel10(th(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[di splay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "p lotsetup(ps,plotoutput=`gleich_hp_Bessel_BodePhase.eps`,plotoptions=`p ortrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 615 "p1 := semilogplot(evalf(180*argument(bes sel1(th(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phas e`], title=`Bessel Hochpass 1.,3.,10. Ordnung`, titlefont=[HELVETICA,B OLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,-180..180]):\np2 := semilogplot(evalf(180*argument(bessel3(th(I*x)) )/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,lin estyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*arg ument(bessel10(th(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[ display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 " plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenl aufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 699 "p1 := semilogplo t(eval( -diff(evalc(argument( bessel1(th(I*y)))), y), y = x )/(2*Pi), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title =`Bessel Hochpass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], nu mpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20.. 4]):\np2 := semilogplot(eval( -diff(evalc(argument( bessel3(th(I*y)))) , y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness= 2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..4]):\np3 := semilogplo t(eval( -diff(evalc(argument( bessel10(th(I*y)))), y), y=x )/(2*Pi), x =0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,-0.20..4]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gl eich_hp_Bessel_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour=rg b,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 699 "p1 := semilogplot(eval( -diff(evalc(argument( bessel1(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gru ppenlaufzeit`], title=`Bessel Hochpass 1.,3.,10. Ordnung`,titlefont=[H ELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vi ew=[0.01..100,-0.20..4]):\np2 := semilogplot(eval( -diff(evalc(argumen t( bessel3(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnum points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..4 ]):\np3 := semilogplot(eval( -diff(evalc(argument( bessel10(th(I*y)))) , y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,-0.20..4]):\nplots[display](\{ p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(d efault);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 24 "Tschebyscheff-Filt er 1dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Tscheby1_1(th(I* 10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung + kritischer Hoch pass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickne ss=2,axes=boxed,linestyle=1):\np2 := complexplot(Tscheby1_3(th(I*10^x) ), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1):\np3 := complexplot(Tscheby1_10(th(I*10^x)), x=-10..10,color=blue ,\nnumpoints=1200,thickness=2,axes=boxed,linestyle=1):\np4 := complexp lot(fn(th(I*10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness =2,axes=boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4 \});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,ploto utput=`gleich_hp_Tscheby1_Phasenbild.eps`,plotoptions=`portrait,nobord er,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Tscheby1_1(th(I*10^x)), x=-10..10, color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebysch eff Hochpass 1dB 1.,3.,10. Ordnung + kritischer Hochpass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,li nestyle=1):\np2 := complexplot(Tscheby1_3(th(I*10^x)), x=-10..10,color =red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := compl explot(Tscheby1_10(th(I*10^x)), x=-10..10,color=blue,\nnumpoints=1200, thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(th(I*10^x), 10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,line style=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby1_1(th(I*x) ))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title= `Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BO LD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby1_3(th(I*x)))), x= 0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby1_10 (th(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1, p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps, plotoutput=`gleich_hp_Tscheby1_BodeAmpli.eps`,plotoptions=`portrait,no border,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby1_1(th(I*x)))), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tsch ebyscheff Hochpass 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9] , numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10 ^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby1_3(th(I*x)))), x=0.01. .100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view =[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby1_10(th(I *x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3 \});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default); " }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 635 "p1 := semilogplot(evalf(180*argume nt(Tscheby1_1(th(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Freque nz`,`Phase`], title=`Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung`, ti tlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argum ent(Tscheby1_3(th(I*x)))/Pi), x=0.01..100,color=red,\nnumpoints=40,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := se milogplot(evalf(180*argument(Tscheby1_10(th(I*x)))/Pi), x=0.01..100,co lor=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01 ..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_hp_Tscheby1 _BodePhase.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,he ight=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 635 "p1 := semil ogplot(evalf(180*argument(Tscheby1_1(th(I*x)))/Pi), x=0.01..100,color= black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semi logplot(evalf(180*argument(Tscheby1_3(th(I*x)))/Pi), x=0.01..100,color =red,\nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-180..180]):\np3 := semilogplot(evalf(180*argument(Tscheby1_10(th(I*x )))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\} );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 716 "p1 := semilogplot(eval( -diff(eval c(argument( Tscheby1_1(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,col or=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..8]): \np2 := semilogplot(eval( -diff(evalc(argument( Tscheby1_3(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,-0.5..8]):\np3 := semilogplot( eval( -diff(evalc(argument( Tscheby1_10(th(I*y)))), y), y=x )/(2*Pi), \+ x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[0.01..100,-0.5..8]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_hp_Tscheby1_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 716 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheby1_1(th(I*y)) )), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,` Gruppenlaufzeit`], title=`Tschebyscheff Hochpass 1dB 1.,3.,10. Ordnung `,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed, linestyle=1,view=[0.01..100,-0.5..8]):\np2 := semilogplot(eval( -diff( evalc(argument( Tscheby1_3(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100 ,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,-0.5..8]):\np3 := semilogplot(eval( -diff(evalc(argument( Tsch eby1_10(th(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoin ts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..8]):\n plots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 25 "T schebyscheff-Filter 3 dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phase nbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot( Tscheby3_1(th(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Im agin\344rteil`], title=`Tschebyscheff Hochpass 3dB 1.,3.,10. Ordnung + kritischer Hochpass 10. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpo ints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(Tsche by3_3(th(I*10^x)), x=-10..10,color=red,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1):\np3 := complexplot(Tscheby3_10(th(I*10^x)), x=-1 0..10,color=blue,\nnumpoints=1500,thickness=2,axes=boxed,linestyle=1): \np4 := complexplot(fn(th(I*10^x),10), x=-10..10,color=black,\nnumpoin ts=200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[display ](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plo tsetup(ps,plotoutput=`gleich_hp_Tscheby3_Phasenbild.eps`,plotoptions=` portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Tscheby3_1(th(I*10^x)) , x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title =`Tschebyscheff Hochpass 3dB 1.,3.,10. Ordnung + kritischer Hochpass 1 0. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,a xes=boxed,linestyle=1):\np2 := complexplot(Tscheby3_3(th(I*10^x)), x=- 10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1): \np3 := complexplot(Tscheby3_10(th(I*10^x)), x=-10..10,color=blue,\nnu mpoints=1500,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(f n(th(I*10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,ax es=boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby 3_1(th(I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitud e`], title=`Tschebyscheff Hochpass 3dB 1.,3.,10. Ordnung`,titlefont=[H ELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vi ew=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby3_3(th( I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed, linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs( Tscheby3_10(th(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[dis play](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "pl otsetup(ps,plotoutput=`gleich_hp_Tscheby3_BodeAmpli.eps`,plotoptions=` portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby3_1(th (I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], t itle=`Tschebyscheff Hochpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETI CA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby3_3(th(I*x))) ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheb y3_10(th(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display]( \{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := semilogplot(evalf(18 0*argument(Tscheby3_1(th(I*x)))/Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Phase`], title=`Tschebyscheff Hochpass 3dB 1.,3.,10. Ordn ung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(1 80*argument(Tscheby3_3(th(I*x)))/Pi), x=0.01..100,color=red,\nnumpoint s=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]): \np3 := semilogplot(evalf(180*argument(Tscheby3_10(th(I*x)))/Pi), x=0. 01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_hp_Tscheby3_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := semilogplot(evalf(180*argument(Tscheby3_1(th(I*x)))/Pi), x= 0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebysch eff Hochpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], num points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..18 0]):\np2 := semilogplot(evalf(180*argument(Tscheby3_3(th(I*x)))/Pi), x =0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argument(T scheby3_10(th(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[disp lay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot setup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufz eit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := semilogplot(ev al( -diff(evalc(argument( Tscheby3_1(th(I*y)))), y), y = x )/(2*Pi), x =0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title= `Tschebyscheff Hochpass 3dB 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BO LD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,-0.5..12]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby3 _3(th(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..12]):\np3 \+ := semilogplot(eval( -diff(evalc(argument( Tscheby3_10(th(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,-0.5..12]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,pl otoutput=`gleich_hp_Tscheby3_Gruppenlz.eps`,plotoptions=`portrait,nobo rder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheb y3_1(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Fr equenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Tiefpass 3dB 1.,3.,10 . Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,ax es=boxed,linestyle=1,view=[0.01..100,0.0..12]):\np2 := semilogplot(eva l( -diff(evalc(argument( Tscheby3_3(I*y))), y), y = x )/(2*Pi), x=0.01 ..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,vie w=[0.01..100,0.0..12]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby3_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..12]): \nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 256 9 "Bandp\344sse" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 22 "Tiefpass-Bandp asstrafo" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "domega := 2;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "tb := (P) -> (P+1/P)/domega ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "evalc(Re(fn(tb(I*2),1) ));\ndomega;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Kritische Filte r" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 659 "p1 := complexplot(fn(tb(I*10^x),1), x=-1 0..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Krit ischer Bandpass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9], n umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]): \np2 := complexplot(fn(tb(I*10^x),3), x=-4..4,color=red,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np3 := comp lexplot(fn(tb(I*10^x),10), x=-3..3,color=blue,\nnumpoints=200,thicknes s=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np4 := complexplot(fn (tb(I*10^x),30), x=-3..3,color=green,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[-1..1, -1..1]):\nplots[display](\{p1,p2,p3,p4 \});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,ploto utput=`gleich_bp_kritisch_Phasenbild.eps`,plotoptions=`portrait,nobord er,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 659 "p1 := complexplot(fn(tb(I*10^x),1), x=-10..10,color= black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Kritischer Bandp ass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np2 := compl explot(fn(tb(I*10^x),3), x=-4..4,color=red,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np3 := complexplot(fn(tb (I*10^x),10), x=-3..3,color=blue,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[-1..1, -1..1]):\np4 := complexplot(fn(tb(I*10^x),3 0), x=-3..3,color=green,\nnumpoints=200,thickness=2,axes=boxed,linesty le=1,view=[-1..1, -1..1]):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 735 "p1 := loglogplot(evalf(abs(fn(tb(I *x),1))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], t itle=`Kritischer Bandpass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA, BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01.. 100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(fn(tb(I*x),3))), x=0.01. .100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view =[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(fn(tb(I*x),10))) , x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,10^(-2)..2]):\np4 := loglogplot(evalf(abs(fn(tb (I*x),30))), x=0.01..100,color=green,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p 2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(p s,plotoutput=`gleich_bp_kritisch_BodeAmpli.eps`,plotoptions=`portrait, noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 735 "p1 := loglogplot(evalf(abs(fn(tb(I*x),1))), x=0.0 1..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Kritische r Bandpass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2] ):\np2 := loglogplot(evalf(abs(fn(tb(I*x),3))), x=0.01..100,color=red, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^ (-2)..2]):\np3 := loglogplot(evalf(abs(fn(tb(I*x),10))), x=0.010..100, color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,10^(-2)..2]):\np4 := loglogplot(evalf(abs(fn(tb(I*x),30))), x= 0.01..100,color=green,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3,p4\});" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 673 "p1 := semilogplot(evalf(180*argument(fn(tb (I*x),1))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], \+ title=`Kritischer Bandpass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA ,BOLD,9], numpoints=400,thickness=2,axes=boxed,linestyle=1):\np2 := se milogplot(evalf(180*argument(fn(tb(I*x),3))/Pi), x=0.01..100,color=red ,\nnumpoints=500,thickness=2,axes=boxed,linestyle=1):\np3 := semilogpl ot(evalf(180*argument(fn(tb(I*x),10))/Pi), x=0.010..100,color=blue,\nn umpoints=1000,thickness=2,axes=boxed,linestyle=1):\np4 := semilogplot( evalf(180*argument(fn(tb(I*x),30))/Pi), x=0.01..100,color=green,\nnump oints=1000,thickness=2,axes=boxed,linestyle=1):\nplots[display](\{p1,p 2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(p s,plotoutput=`gleich_bp_kritisch_BodePhase.eps`,plotoptions=`portrait, noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 671 "p1 := semilogplot(evalf(180*argument(fn(tb(I*x),1 ))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=` Kritischer Bandpass 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9 ], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := semilogpl ot(evalf(180*argument(fn(tb(I*x),3))/Pi), x=0.01..100,color=red,\nnump oints=300,thickness=2,axes=boxed,linestyle=1):\np3 := semilogplot(eval f(180*argument(fn(tb(I*x),10))/Pi), x=0.010..100,color=blue,\nnumpoint s=500,thickness=2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(18 0*argument(fn(tb(I*x),30))/Pi), x=0.01..100,color=green,\nnumpoints=70 0,thickness=2,axes=boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\} );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 873 "p1 := semilogplot(eval( -diff(eval c(argument( fn(tb(I*y),1))), y), y = x )/(2*Pi), x=0.01..100,color=bla ck,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Kritischer Bandpass 2.,6.,20.,36. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]):\np2 := semi logplot(eval( -diff(evalc(argument( fn(tb(I*y),3))), y), y = x )/(2*Pi ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,0..15]):\np3 := semilogplot(eval( -diff(evalc(ar gument( fn(tb(I*y),10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15] ):\np4 := semilogplot(eval( -diff(evalc(argument( fn(tb(I*y),18))), y) , y=x )/(2*Pi), x=0.01..100,color=green,\nnumpoints=200,thickness=2,ax es=boxed,linestyle=1,view=[0.01..100,0..15]):\nplots[display](\{p1,p2, p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps, plotoutput=`gleich_bp_kritisch_Gruppenlz.eps`,plotoptions=`portrait,no border,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 873 "p1 := semilogplot(eval( -diff(evalc(argument( fn(t b(I*y),1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Fr equenz`,`Gruppenlaufzeit`], title=`Kritischer Bandpass 2.,6.,20.,36. O rdnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,0..15]):\np2 := semilogplot(eval( -d iff(evalc(argument( fn(tb(I*y),3))), y), y = x )/(2*Pi), x=0.01..100,c olor=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01 ..100,0..15]):\np3 := semilogplot(eval( -diff(evalc(argument( fn(tb(I* y),10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]):\np4 := semilo gplot(eval( -diff(evalc(argument( fn(tb(I*y),18))), y), y=x )/(2*Pi), \+ x=0.01..100,color=green,\nnumpoints=200,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,0..15]):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "Butterworth Bandp\344sse" }} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 652 "p1 := complexplot(butterworth1(tb(I*10^x)), x =-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`B utterworth Bandpass 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnun g`, titlefont=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed, linestyle=1):\np2 := complexplot(butterworth3(tb(I*10^x)), x=-10..10,c olor=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := c omplexplot(butterworth10(tb(I*10^x)), x=-10..10,color=blue,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*1 0^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed ,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bp_Butterw_Phasenbild.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 652 "p1 := complexplot(butterworth1(tb(I*10^x)), x=-10..10,color=black ,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Butterworth Bandpass \+ 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefont=[HELVE TICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(butterworth3(tb(I*10^x)), x=-10..10,color=red,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(butterwor th10(tb(I*10^x)), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*10^x),10), x=-10..10, color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=g reen):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 604 "p1 := loglogplot(evalf(abs(butterworth1(tb(I*x)))), x=0.01..1 00,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Butterworth B andpass 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 \+ := loglogplot(evalf(abs(butterworth3(tb(I*x)))), x=0.01..100,color=red ,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10 ^(-2)..2]):\np3 := loglogplot(evalf(abs(butterworth10(tb(I*x)))), x=0. 010..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1 ,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gl eich_bp_Butterw_BodeAmpli.eps`,plotoptions=`portrait,noborder,colour=r gb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 604 "p1 := loglogplot(evalf(abs(butterworth1(tb(I*x)))), x=0.01..100,c olor=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Butterworth Bandp ass 2.,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD,9],numpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := l oglogplot(evalf(abs(butterworth3(tb(I*x)))), x=0.01..100,color=red,\nn umpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2 )..2]):\np3 := loglogplot(evalf(abs(butterworth10(tb(I*x)))), x=0.010. .100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,vie w=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 634 "p1 := semilogplot(evalf(180*argument(butterworth1( tb(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], \+ title=`Butterworth Bandpass 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BO LD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,-180..180]):\np2 := semilogplot(evalf(180*argument(butterworth3(tb(I *x)))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180 *argument(butterworth10(tb(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]) :\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gleich_bp_Butterw_BodePhase .eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 634 "p1 := semilogplot(eva lf(180*argument(butterworth1(tb(I*x)))/Pi), x=0.01..100,color=black,\n labels=[`Frequenz`,`Phase`], title=`Butterworth Bandpass 2.,6.,20. Ord nung`, titlefont=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(1 80*argument(butterworth3(tb(I*x)))/Pi), x=0.01..100,color=red,\nnumpoi nts=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]): \np3 := semilogplot(evalf(180*argument(butterworth10(tb(I*x)))/Pi), x= 0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 710 "p1 := semilogplot(eval( -diff(evalc(argu ment( butterworth1(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=b lack,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Butterworth Bandp ass 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,th ickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..7]):\np2 := semil ogplot(eval( -diff(evalc(argument( butterworth3(tb(I*y)))), y), y = x \+ )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-0..7]):\np3 := semilogplot(eval( -diff(e valc(argument( butterworth10(tb(I*y)))), y), y=x )/(2*Pi), x=0.01..100 ,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0 .01..100,-0..7]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gleich_bp_Butterw_G ruppenlz.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,heig ht=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 710 "p1 := semilog plot(eval( -diff(evalc(argument( butterworth1(tb(I*y)))), y), y = x )/ (2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit` ], title=`Butterworth Bandpass 2.,6.,20. Ordnung`,titlefont=[HELVETICA ,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01 ..100,-0..7]):\np2 := semilogplot(eval( -diff(evalc(argument( butterwo rth3(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..7]):\np3 : = semilogplot(eval( -diff(evalc(argument( butterworth10(tb(I*y)))), y) , y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[0.01..100,-0..7]):\nplots[display](\{p1,p2,p 3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default) ;" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 15 "Besselbandp\344sse" }} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 633 "p1 := complexplot(bessel1(tb(I*10^x)), x=-10. .10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Bessel Bandpass 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`,titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle =1):\np2 := complexplot(bessel3(tb(I*10^x)), x=-10..10,color=red,\nnum points=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(bes sel10(tb(I*10^x)), x=-10..10,color=blue,\nnumpoints=200,thickness=2,ax es=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*10^x),10), x=-10..10 ,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color= green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gleich_bp_Bessel_Phasenbi ld.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in `);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 633 "p1 := complexplot(b essel1(tb(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin \344rteil`], title=`Bessel Bandpass 2.,6.,20. Ordnung + kritischer Ban dpass 20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickn ess=2,axes=boxed,linestyle=1):\np2 := complexplot(bessel3(tb(I*10^x)), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1):\np3 := complexplot(bessel10(tb(I*10^x)), x=-10..10,color=blue,\nnu mpoints=200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn (tb(I*10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 585 "p1 := loglogplot(evalf(abs(bessel1 (tb(I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`] , title=`Bessel Bandpass 2.,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD ,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, 10^(-2)..2]):\np2 := loglogplot(evalf(abs(bessel3(tb(I*x)))), x=0.01.. 100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view= [0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(bessel10(tb(I*x)) )), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,lin estyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\}); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutpu t=`gleich_bp_Bessel_BodeAmpli.eps`,plotoptions=`portrait,noborder,colo ur=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 585 "p1 := loglogplot(evalf(abs(bessel1(tb(I*x)))), x=0.01..100,co lor=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Bessel Bandpass 2. ,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thicknes s=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglog plot(evalf(abs(bessel3(tb(I*x)))), x=0.01..100,color=red,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np 3 := loglogplot(evalf(abs(bessel10(tb(I*x)))), x=0.010..100,color=blue ,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10 ^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 615 "p1 := semilogplot(evalf(180*argument(bessel1(tb(I*x)))/Pi), x=0.0 1..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Bessel Bandpa ss 2.,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := se milogplot(evalf(180*argument(bessel3(tb(I*x)))/Pi), x=0.01..100,color= red,\nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, -180..180]):\np3 := semilogplot(evalf(180*argument(bessel10(tb(I*x)))/ Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,lin estyle=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput= `gleich_bp_Bessel_BodePhase.eps`,plotoptions=`portrait,noborder,colour =rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 615 "p1 := semilogplot(evalf(180*argument(bessel1(tb(I*x)))/Pi), x=0 .01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Bessel Band pass 2.,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := \+ semilogplot(evalf(180*argument(bessel3(tb(I*x)))/Pi), x=0.01..100,colo r=red,\nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,-180..180]):\np3 := semilogplot(evalf(180*argument(bessel10(tb(I*x)) )/Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,l inestyle=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\}); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }} }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 699 "p1 := semilogplot(eval( -diff(eval c(argument( bessel1(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color= black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Bessel Bandpass \+ 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickn ess=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..8]):\np2 := semilo gplot(eval( -diff(evalc(argument( bessel3(tb(I*y)))), y), y = x )/(2*P i), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-0.20..8]):\np3 := semilogplot(eval( -diff(eval c(argument( bessel10(tb(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=b lue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,-0.20..8]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gleich_bp_Bessel_Gruppen lz.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in `);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 699 "p1 := semilogplot(e val( -diff(evalc(argument( bessel1(tb(I*y)))), y), y = x )/(2*Pi), x=0 .01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`B essel Bandpass 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpo ints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..8]) :\np2 := semilogplot(eval( -diff(evalc(argument( bessel3(tb(I*y)))), y ), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,a xes=boxed,linestyle=1,view=[0.01..100,-0.20..8]):\np3 := semilogplot(e val( -diff(evalc(argument( bessel10(tb(I*y)))), y), y=x )/(2*Pi), x=0. 01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,-0.20..8]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 24 "Tschebyscheff-Filter 1dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Tscheby1_1(tb(I*10^x)), x=-10..10, color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebysch eff Bandpass 1dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,li nestyle=1):\np2 := complexplot(Tscheby1_3(tb(I*10^x)), x=-10..10,color =red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := compl explot(Tscheby1_10(tb(I*10^x)), x=-10..10,color=blue,\nnumpoints=1200, thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*10^x), 10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,line style=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,plotoutput=`gleich_bp _Tscheby1_Phasenbild.eps`,plotoptions=`portrait,noborder,colour=rgb,wi dth=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p 1 := complexplot(Tscheby1_1(tb(I*10^x)), x=-10..10,color=black,\nlabel s=[`Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Bandpass 1dB 2. ,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefont=[HELVETI CA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := \+ complexplot(Tscheby1_3(tb(I*10^x)), x=-10..10,color=red,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(Tscheby1_10( tb(I*10^x)), x=-10..10,color=blue,\nnumpoints=1200,thickness=2,axes=bo xed,linestyle=1):\np4 := complexplot(fn(tb(I*10^x),10), x=-10..10,colo r=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=green ):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby1_1(tb(I*x)))), x=0.01..100 ,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tschebyscheff B andpass 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoint s=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]): \np2 := loglogplot(evalf(abs(Tscheby1_3(tb(I*x)))), x=0.01..100,color= red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100 ,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby1_10(tb(I*x)))), x=0 .010..100,color=blue,\nnumpoints=1000,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bp_Tscheby1_BodeAmpli.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby1_1(tb(I*x)))), x=0.01..100,col or=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tschebyscheff Bandp ass 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby1_3(tb(I*x)))), x=0.01..100,color=red, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^ (-2)..2]):\np3 := loglogplot(evalf(abs(Tscheby1_10(tb(I*x)))), x=0.010 ..100,color=blue,\nnumpoints=1000,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 635 "p1 := semilogplot(evalf(180*argument(Tsche by1_1(tb(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Pha se`], title=`Tschebyscheff Bandpass 1dB 2.,6.,20. Ordnung`, titlefont= [HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(Tsch eby1_3(tb(I*x)))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplo t(evalf(180*argument(Tscheby1_10(tb(I*x)))/Pi), x=0.01..100,color=blue ,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-1 80..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_bp_Tscheby1_BodePh ase.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4i n`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 635 "p1 := semilogplot( evalf(180*argument(Tscheby1_1(tb(I*x)))/Pi), x=0.01..100,color=black, \nlabels=[`Frequenz`,`Phase`], title=`Tschebyscheff Bandpass 1dB 2.,6. ,20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplo t(evalf(180*argument(Tscheby1_3(tb(I*x)))/Pi), x=0.01..100,color=red, \nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180 ..180]):\np3 := semilogplot(evalf(180*argument(Tscheby1_10(tb(I*x)))/P i), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,line style=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := semilogplot(eval( -diff(evalc(argu ment( Tscheby1_1(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=bla ck,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Bandp ass 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..26]):\np2 : = semilogplot(eval( -diff(evalc(argument( Tscheby1_3(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.5..26]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby1_10(tb(I*y)))), y), y=x )/(2*Pi), x=0.0 1..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-0.5..26]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_bp _Tscheby1_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour=rgb,wid th=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheby1_1(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppen laufzeit`], title=`Tschebyscheff Bandpass 1dB 2.,6.,20. Ordnung`,title font=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,-0.5..26]):\np2 := semilogplot(eval( -diff(evalc( argument( Tscheby1_3(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color =red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,-0.5..26]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby1_ 10(tb(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..26]):\nplot s[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 25 "Tsc hebyscheff-Filter 3 dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenb ild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Ts cheby3_1(tb(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Imag in\344rteil`], title=`Tschebyscheff Bandpass 3dB 2.,6.,20. Ordnung + k ritischer Bandpass 20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoin ts=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(Tscheby 3_3(tb(I*10^x)), x=-10..10,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1):\np3 := complexplot(Tscheby3_10(tb(I*10^x)), x=-10. .10,color=blue,\nnumpoints=1500,thickness=2,axes=boxed,linestyle=1):\n p4 := complexplot(fn(tb(I*10^x),10), x=-10..10,color=black,\nnumpoints =200,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[display]( \{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plots etup(ps,plotoutput=`gleich_bp_Tscheby3_Phasenbild.eps`,plotoptions=`po rtrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 654 "p1 := complexplot(Tscheby3_1(tb(I*10^x)), \+ x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=` Tschebyscheff Bandpass 3dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axe s=boxed,linestyle=1):\np2 := complexplot(Tscheby3_3(tb(I*10^x)), x=-10 ..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np 3 := complexplot(Tscheby3_10(tb(I*10^x)), x=-10..10,color=blue,\nnumpo ints=1500,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(t b(I*10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby 3_1(tb(I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitud e`], title=`Tschebyscheff Bandpass 3dB 2.,6.,20. Ordnung`,titlefont=[H ELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vi ew=[0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby3_3(tb( I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed, linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs( Tscheby3_10(tb(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[dis play](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "pl otsetup(ps,plotoutput=`gleich_bp_Tscheby3_BodeAmpli.eps`,plotoptions=` portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 606 "p1 := loglogplot(evalf(abs(Tscheby3_1(tb (I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], t itle=`Tschebyscheff Bandpass 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETI CA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Tscheby3_3(tb(I*x))) ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Tscheb y3_10(tb(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display]( \{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" } }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := semilogplot(evalf(18 0*argument(Tscheby3_1(tb(I*x)))/Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Phase`], title=`Tschebyscheff Bandpass 3dB 2.,6.,20. Ordn ung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=box ed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(1 80*argument(Tscheby3_3(tb(I*x)))/Pi), x=0.01..100,color=red,\nnumpoint s=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]): \np3 := semilogplot(evalf(180*argument(Tscheby3_10(tb(I*x)))/Pi), x=0. 01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bp_Tscheby3_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 636 "p1 := semilogplot(evalf(180*argument(Tscheby3_1(tb(I*x)))/Pi), x= 0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebysch eff Bandpass 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], num points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..18 0]):\np2 := semilogplot(evalf(180*argument(Tscheby3_3(tb(I*x)))/Pi), x =0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argument(T scheby3_10(tb(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[disp lay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot setup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufz eit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := semilogplot(ev al( -diff(evalc(argument( Tscheby3_1(tb(I*y)))), y), y = x )/(2*Pi), x =0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title= `Tschebyscheff Bandpass 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BO LD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,-0.5..35]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby3 _3(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..35]):\np3 \+ := semilogplot(eval( -diff(evalc(argument( Tscheby3_10(tb(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,-0.5..35]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,pl otoutput=`gleich_bp_Tscheby3_Gruppenlz.eps`,plotoptions=`portrait,nobo rder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 719 "p1 := semilogplot(eval( -diff(evalc(argument( Tscheb y3_1(tb(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Bandpass 3dB 2.,6 .,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness= 2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..35]):\np2 := semilogplo t(eval( -diff(evalc(argument( Tscheby3_3(tb(I*y)))), y), y = x )/(2*Pi ), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linest yle=1,view=[0.01..100,-0.5..35]):\np3 := semilogplot(eval( -diff(evalc (argument( Tscheby3_10(tb(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color =blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..1 00,-0.5..35]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}}{SECT 1 {PARA 0 "" 0 "" {TEXT 256 11 "Bandsperren" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 25 "T iefpass-Bandsperrentrafo" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 " domega := 2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "tbs := (P) \+ -> P*domega/(P^2+1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "eva lf(evalc(Re(fn(tbs(I*0.999),3))));\ndomega;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Kritische Filter" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 664 "p1 := com plexplot(fn(tbs(I*10^x),1), x=-10..10,color=black,\nlabels=[`Realteil` ,`Imagin\344rteil`], title=`Kritische Bandsperre 2.,6.,20.,60. Ordnung `,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,l inestyle=1,view=[-1..1, -1..1]):\np2 := complexplot(fn(tbs(I*10^x),3), x=-4..4,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1, view=[-1..1, -1..1]):\np3 := complexplot(fn(tbs(I*10^x),10), x=-3..3,c olor=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1. .1, -1..1]):\np4 := complexplot(fn(tbs(I*10^x),30), x=-3..3,color=gree n,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1.. 1]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,plotoutput=`gleich_bs_kritisch_Phasenbi ld.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in `);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 665 "p1 := complexplot(f n(tbs(I*10^x),1), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin \344rteil`], title=`Kritischer Bandsperre 2.,6.,20.,60. Ordnung`,title font=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[-1..1, -1..1]):\np2 := complexplot(fn(tbs(I*10^x),3), x=-4.. 4,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[- 1..1, -1..1]):\np3 := complexplot(fn(tbs(I*10^x),10), x=-3..3,color=bl ue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1. .1]):\np4 := complexplot(fn(tbs(I*10^x),30), x=-3..3,color=green,\nnum points=200,thickness=2,axes=boxed,linestyle=1,view=[-1..1, -1..1]):\np lots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 18 " Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 744 "p1 := semilogplot(evalf(abs(fn(tbs(I*x),1))), x=0.01..100,color=black,\nlab els=[`Frequenz`,`Amplitude`], title=`Kritische Bandsperre 2.,6.,20.,60 . Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[0.01..100,-0.10..1.1]):\np2 := semilogplot(e valf(abs(fn(tbs(I*x),3))), x=0.01..100,color=red,\nnumpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.10..1.1]):\np3 := sem ilogplot(evalf(abs(fn(tbs(I*x),10))), x=0.010..100,color=blue,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.10..1.1] ):\np4 := semilogplot(evalf(abs(fn(tbs(I*x),30))), x=0.01..100,color=g reen,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,-0.10..1.1]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gleich_bs_kritisch _BodeAmpli.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,he ight=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 744 "p1 := semil ogplot(evalf(abs(fn(tbs(I*x),1))), x=0.01..100,color=black,\nlabels=[` Frequenz`,`Amplitude`], title=`Kritische Bandsperre 2.,6.,20.,60. Ordn ung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,-0.10..1.1]):\np2 := semilogplot(evalf(a bs(fn(tbs(I*x),3))), x=0.01..100,color=red,\nnumpoints=200,thickness=2 ,axes=boxed,linestyle=1,view=[0.01..100,-0.10..1.1]):\np3 := semilogpl ot(evalf(abs(fn(tbs(I*x),10))), x=0.010..100,color=blue,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.10..1.1]):\np4 := semilogplot(evalf(abs(fn(tbs(I*x),30))), x=0.01..100,color=green, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0. 10..1.1]):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 " " {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 678 "p1 := semilogplot(evalf(180*argument(fn(tbs(I*x),1))/Pi), x=0.0 1..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Kritische Ban dsperre 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints =400,thickness=2,axes=boxed,linestyle=1):\np2 := semilogplot(evalf(180 *argument(fn(tbs(I*x),3))/Pi), x=0.01..100,color=red,\nnumpoints=500,t hickness=2,axes=boxed,linestyle=1):\np3 := semilogplot(evalf(180*argum ent(fn(tbs(I*x),10))/Pi), x=0.010..100,color=blue,\nnumpoints=1000,thi ckness=2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(180*argumen t(fn(tbs(I*x),30))/Pi), x=0.01..100,color=green,\nnumpoints=1000,thick ness=2,axes=boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bs_kritisch_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 678 "p1 := semilogplot(evalf(180*argument(fn(tbs(I*x),1))/Pi), x=0.01. .100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Kritische Bands perre 2.,6.,20.,60. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=4 00,thickness=2,axes=boxed,linestyle=1):\np2 := semilogplot(evalf(180*a rgument(fn(tbs(I*x),3))/Pi), x=0.01..100,color=red,\nnumpoints=500,thi ckness=2,axes=boxed,linestyle=1):\np3 := semilogplot(evalf(180*argumen t(fn(tbs(I*x),10))/Pi), x=0.010..100,color=blue,\nnumpoints=1000,thick ness=2,axes=boxed,linestyle=1):\np4 := semilogplot(evalf(180*argument( fn(tbs(I*x),30))/Pi), x=0.01..100,color=green,\nnumpoints=1000,thickne ss=2,axes=boxed,linestyle=1):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 878 "p1 := semilogplot(eval( -diff(evalc(argu ment( fn(tbs(I*y),1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\n labels=[`Frequenz`,`Gruppenlaufzeit`], title=`Kritische Bandsperre 2., 6.,20.,36. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]):\np2 := semilogp lot(eval( -diff(evalc(argument( fn(tbs(I*y),3))), y), y = x )/(2*Pi), \+ x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1,view=[0.01..100,0..15]):\np3 := semilogplot(eval( -diff(evalc(argum ent( fn(tbs(I*y),10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnum points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]): \np4 := semilogplot(eval( -diff(evalc(argument( fn(tbs(I*y),18))), y), y=x )/(2*Pi), x=0.01..100,color=green,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,view=[0.01..100,0..15]):\nplots[display](\{p1,p2,p 3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,p lotoutput=`gleich_bs_kritisch_Gruppenlz.eps`,plotoptions=`portrait,nob order,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 878 "p1 := semilogplot(eval( -diff(evalc(argument( fn(tbs (I*y),1))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Fre quenz`,`Gruppenlaufzeit`], title=`Kritische Bandsperre 2.,6.,20.,36. O rdnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,0..15]):\np2 := semilogplot(eval( -d iff(evalc(argument( fn(tbs(I*y),3))), y), y = x )/(2*Pi), x=0.01..100, color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.0 1..100,0..15]):\np3 := semilogplot(eval( -diff(evalc(argument( fn(tbs( I*y),10))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,0..15]):\np4 := semi logplot(eval( -diff(evalc(argument( fn(tbs(I*y),18))), y), y=x )/(2*Pi ), x=0.01..100,color=green,\nnumpoints=200,thickness=2,axes=boxed,line style=1,view=[0.01..100,0..15]):\nplots[display](\{p1,p2,p3,p4\});" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}} {SECT 1 {PARA 3 "" 0 "" {TEXT -1 22 "Butterworth Bandsperre" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 658 "p1 := complexplot(butterworth1(tbs(I*10^x)), x=-10.. 10,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Butterw orth Bandsperre 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, \+ titlefont=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,line style=1):\np2 := complexplot(butterworth3(tbs(I*10^x)), x=-10..10,colo r=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := comp lexplot(butterworth10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tbs(I*10 ^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed, linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bs_Butterw_Phasenbild.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 658 "p1 := complexplot(butterworth1(tbs(I*10^x)), x=-10..10,color=blac k,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Butterworth Bandsper re 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefont=[HE LVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complexplot(butterworth3(tbs(I*10^x)), x=-10..10,color=red,\nnumpo ints=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(butte rworth10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints=200,thickness= 2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tbs(I*10^x),10), x=-1 0..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,c olor=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 609 "p1 := semilogplot(evalf(abs(butterworth1(tbs(I*x)))) , x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Bu tterworth Bandsperre 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], \+ numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.1. .1.1]):\np2 := semilogplot(evalf(abs(butterworth3(tbs(I*x)))), x=0.01. .100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view =[0.01..100,-0.1..1.1]):\np3 := semilogplot(evalf(abs(butterworth10(tb s(I*x)))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,-0.1..1.1]):\nplots[display](\{p1,p2,p 3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plot output=`gleich_bs_Butterw_BodeAmpli.eps`,plotoptions=`portrait,noborde r,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 609 "p1 := semilogplot(evalf(abs(butterworth1(tbs(I*x)))) , x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Bu tterworth Bandsperre 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], \+ numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.1. .1.1]):\np2 := semilogplot(evalf(abs(butterworth3(tbs(I*x)))), x=0.01. .100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view =[0.01..100,-0.1..1.1]):\np3 := semilogplot(evalf(abs(butterworth10(tb s(I*x)))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,-0.1..1.1]):\nplots[display](\{p1,p2,p 3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default) ;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 639 "p1 := semilogplot(evalf(180*argume nt(butterworth1(tbs(I*x)))/Pi), x=0.01..100,color=black,\nlabels=[`Fre quenz`,`Phase`], title=`Butterworth Bandsperre 2.,6.,20. Ordnung`,titl efont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argumen t(butterworth3(tbs(I*x)))/Pi), x=0.01..100,color=red,\nnumpoints=40,th ickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := s emilogplot(evalf(180*argument(butterworth10(tbs(I*x)))/Pi), x=0.01..10 0,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=`gleich_bs _Butterw_BodePhase.eps`,plotoptions=`portrait,noborder,colour=rgb,widt h=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 639 "p1 \+ := semilogplot(evalf(180*argument(butterworth1(tbs(I*x)))/Pi), x=0.01. .100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Butterworth Ban dsperre 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 : = semilogplot(evalf(180*argument(butterworth3(tbs(I*x)))/Pi), x=0.01.. 100,color=red,\nnumpoints=40,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argument(butterwor th10(tbs(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness= 2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[display]( \{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup (default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 715 "p1 := semilogplot(eval( - diff(evalc(argument( butterworth1(tbs(I*y)))), y), y = x )/(2*Pi), x=0 .01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`B utterworth Bandsperre 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0. .7]):\np2 := semilogplot(eval( -diff(evalc(argument( butterworth3(tbs( I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thi ckness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..7]):\np3 := semilo gplot(eval( -diff(evalc(argument( butterworth10(tbs(I*y)))), y), y=x ) /(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-0..7]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput= `gleich_bs_Butterw_Gruppenlz.eps`,plotoptions=`portrait,noborder,colou r=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 715 "p1 := semilogplot(eval( -diff(evalc(argument( butterworth1(tbs( I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Freque nz`,`Gruppenlaufzeit`], title=`Butterworth Bandsperre 2.,6.,20. Ordnun g`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-0..7]):\np2 := semilogplot(eval( -diff(e valc(argument( butterworth3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..1 00,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-0..7]):\np3 := semilogplot(eval( -diff(evalc(argument( butt erworth10(tbs(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnump oints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0..7]): \nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Besselbandsperre" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 639 "p1 := complexplot(bessel1 (tbs(I*10^x)), x=-10..10,color=black,\nlabels=[`Realteil`,`Imagin\344r teil`], title=`Bessel Bandsperre 2.,6.,20. Ordnung + kritischer Bandpa ss 20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness =2,axes=boxed,linestyle=1):\np2 := complexplot(bessel3(tbs(I*10^x)), x =-10..10,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1) :\np3 := complexplot(bessel10(tbs(I*10^x)), x=-10..10,color=blue,\nnum points=200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn( tbs(I*10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axe s=boxed,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 123 "plotsetup(ps,plotoutput=` gleich_bs_Bessel_Phasenbild.eps`,plotoptions=`portrait,noborder,colour =rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 639 "p1 := complexplot(bessel1(tbs(I*10^x)), x=-10..10,color=black, \nlabels=[`Realteil`,`Imagin\344rteil`], title=`Bessel Bandsperre 2.,6 .,20. Ordnung + kritischer Bandpass 20. Ordnung`,titlefont=[HELVETICA, BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := co mplexplot(bessel3(tbs(I*10^x)), x=-10..10,color=red,\nnumpoints=200,th ickness=2,axes=boxed,linestyle=1):\np3 := complexplot(bessel10(tbs(I*1 0^x)), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,lin estyle=1):\np4 := complexplot(fn(tbs(I*10^x),10), x=-10..10,color=blac k,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=green):\npl ots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 " Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 590 "p1 := semilogplot(evalf(abs(bessel1(tbs(I*x)))), x=0.01..100,color=black,\n labels=[`Frequenz`,`Amplitude`], title=`Bessel Bandsperre 2.,6.,20. Or dnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=b oxed,linestyle=1,view=[0.01..100,-0.1..1.1]):\np2 := semilogplot(evalf (abs(bessel3(tbs(I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickn ess=2,axes=boxed,linestyle=1,view=[0.01..100,-0.1..1.1]):\np3 := semil ogplot(evalf(abs(bessel10(tbs(I*x)))), x=0.010..100,color=blue,\nnumpo ints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.1..1.1] ):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gleich_bs_Bessel_BodeAmpli. eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 590 "p1 := semilogplot(eval f(abs(bessel1(tbs(I*x)))), x=0.01..100,color=black,\nlabels=[`Frequenz `,`Amplitude`], title=`Bessel Bandsperre 2.,6.,20. Ordnung`, titlefont =[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,-0.1..1.1]):\np2 := semilogplot(evalf(abs(bessel3(tbs( I*x)))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed, linestyle=1,view=[0.01..100,-0.1..1.1]):\np3 := semilogplot(evalf(abs( bessel10(tbs(I*x)))), x=0.010..100,color=blue,\nnumpoints=200,thicknes s=2,axes=boxed,linestyle=1,view=[0.01..100,-0.1..1.1]):\nplots[display ](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotset up(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 620 "p1 := semilogplot(evalf (180*argument(bessel1(tbs(I*x)))/Pi), x=0.01..100,color=black,\nlabels =[`Frequenz`,`Phase`], title=`Bessel Bandsperre 2.,6.,20. Ordnung`, ti tlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argum ent(bessel3(tbs(I*x)))/Pi), x=0.01..100,color=red,\nnumpoints=40,thick ness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 := semi logplot(evalf(180*argument(bessel10(tbs(I*x)))/Pi), x=0.01..100,color= blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..10 0,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gleich_bs_Bessel_BodeP hase.eps`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4 in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 620 "p1 := semilogplot (evalf(180*argument(bessel1(tbs(I*x)))/Pi), x=0.01..100,color=black,\n labels=[`Frequenz`,`Phase`], title=`Bessel Bandsperre 2.,6.,20. Ordnun g`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed ,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf(180 *argument(bessel3(tbs(I*x)))/Pi), x=0.01..100,color=red,\nnumpoints=40 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\np3 : = semilogplot(evalf(180*argument(bessel10(tbs(I*x)))/Pi), x=0.01..100, color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0. 01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eval( -diff(evalc(argument( bessel 1(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[` Frequenz`,`Gruppenlaufzeit`], title=`Bessel Bandsperre 2.,6.,20. Ordnu ng`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,-0.20..5]):\np2 := semilogplot(eval( -di ff(evalc(argument( bessel3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..10 0,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0 .01..100,-0.20..5]):\np3 := semilogplot(eval( -diff(evalc(argument( be ssel10(tbs(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoin ts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..5]): \nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "plotsetup(ps,plotoutput=`gleich_bs_Bessel_Gruppenlz.eps`,plot options=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 704 "p1 := semilogplot(eval( -di ff(evalc(argument( bessel1(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..10 0,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Bessel B andsperre 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints= 200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.20..5]):\np2 := semilogplot(eval( -diff(evalc(argument( bessel3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.20..5]):\np3 := semilogplot(eval( -diff(evalc(argument( bessel10(tbs(I*y)))), y), y=x )/(2*Pi), x=0.01. .100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,vie w=[0.01..100,-0.20..5]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 24 "Tschebyscheff-Filter 1dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 660 "p1 := complexplot(Tscheby1_1(tbs(I*10^x)), x=-10..10 ,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebysc heff Bandsperre 1dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnun g`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed ,linestyle=1):\np2 := complexplot(Tscheby1_3(tbs(I*10^x)), x=-10..10,c olor=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := c omplexplot(Tscheby1_10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints= 1200,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tbs(I* 10^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxe d,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,plotoutput=`gl eich_bs_Tscheby1_Phasenbild.eps`,plotoptions=`portrait,noborder,colour =rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 660 "p1 := complexplot(Tscheby1_1(tbs(I*10^x)), x=-10..10,color=blac k,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Bandsp erre 1dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle= 1):\np2 := complexplot(Tscheby1_3(tbs(I*10^x)), x=-10..10,color=red,\n numpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot( Tscheby1_10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints=1200,thickn ess=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tbs(I*10^x),10), \+ x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle =1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 " " 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 611 "p1 := semilogplot(evalf(abs(Tscheby1_1(tbs(I*x)))), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tsch ebyscheff Bandsperre 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD, 9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, -0.1..1.2]):\np2 := semilogplot(evalf(abs(Tscheby1_3(tbs(I*x)))), x=0. 01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-0.1..1.2]):\np3 := semilogplot(evalf(abs(Tscheby1_10(t bs(I*x)))), x=0.010..100,color=blue,\nnumpoints=2000,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.1..1.2]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,pl otoutput=`gleich_bs_Tscheby1_BodeAmpli.eps`,plotoptions=`portrait,nobo rder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 611 "p1 := semilogplot(evalf(abs(Tscheby1_1(tbs(I*x)))), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tsch ebyscheff Bandsperre 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD, 9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, -0.1..1.2]):\np2 := semilogplot(evalf(abs(Tscheby1_3(tbs(I*x)))), x=0. 01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-0.1..1.2]):\np3 := semilogplot(evalf(abs(Tscheby1_10(t bs(I*x)))), x=0.010..100,color=blue,\nnumpoints=2000,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.1..1.2]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(defaul t);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 640 "p1 := semilogplot(evalf(180 *argument(Tscheby1_1(tbs(I*x)))/Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Phase`], title=`Tschebyscheff Bandsperre 1dB 2.,6.,20. Or dnung`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=b oxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(evalf (180*argument(Tscheby1_3(tbs(I*x)))/Pi), x=0.01..100,color=red,\nnumpo ints=40,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]) :\np3 := semilogplot(evalf(180*argument(Tscheby1_10(tbs(I*x)))/Pi), x= 0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bs_Tscheby1_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 640 "p1 := semilogplot(evalf(180*argument(Tscheby1_1(tbs(I*x)))/Pi), x =0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebysc heff Bandsperre 1dB 2.,6.,20. Ordnung`, titlefont=[HELVETICA,BOLD,9], \+ numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180. .180]):\np2 := semilogplot(evalf(180*argument(Tscheby1_3(tbs(I*x)))/Pi ), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argumen t(Tscheby1_10(tbs(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200,t hickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplots[ display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 " plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Gruppenl aufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 724 "p1 := semilogplo t(eval( -diff(evalc(argument( Tscheby1_1(tbs(I*y)))), y), y = x )/(2*P i), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], t itle=`Tschebyscheff Bandsperre 1dB 2.,6.,20. Ordnung`,titlefont=[HELVE TICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-0.5..20]):\np2 := semilogplot(eval( -diff(evalc(argument( T scheby1_3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnum points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20 ]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby1_10(tbs(I*y )))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20]):\nplots[display ](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotse tup(ps,plotoutput=`gleich_bs_Tscheby1_Gruppenlz.eps`,plotoptions=`port rait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 724 "p1 := semilogplot(eval( -diff(evalc(argument ( Tscheby1_1(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=black, \nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyscheff Bandsper re 1dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby1_3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.5..20]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby1_10(tbs(I*y)))), y), y=x )/(2*Pi), x=0. 01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1, view=[0.01..100,-0.5..20]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 25 "Tschebyscheff-Filter 3 dB" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 659 "p1 := complexplot(Tscheby3_1(tbs(I*10^x)), x=-10..10 ,color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebysc heff Bandsperre 3dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnun g`, titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed ,linestyle=1):\np2 := complexplot(Tscheby3_3(tbs(I*10^x)), x=-10..10,c olor=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := c omplexplot(Tscheby3_10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints= 1500,thickness=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*1 0^x),10), x=-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed ,linestyle=1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 125 "plotsetup(ps,plotoutput=`gl eich_bs_Tscheby3_Phasenbild.eps`,plotoptions=`portrait,noborder,colour =rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 659 "p1 := complexplot(Tscheby3_1(tbs(I*10^x)), x=-10..10,color=blac k,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Tschebyscheff Bandsp erre 3dB 2.,6.,20. Ordnung + kritischer Bandpass 20. Ordnung`, titlefo nt=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle= 1):\np2 := complexplot(Tscheby3_3(tbs(I*10^x)), x=-10..10,color=red,\n numpoints=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot( Tscheby3_10(tbs(I*10^x)), x=-10..10,color=blue,\nnumpoints=1500,thickn ess=2,axes=boxed,linestyle=1):\np4 := complexplot(fn(tb(I*10^x),10), x =-10..10,color=black,\nnumpoints=200,thickness=2,axes=boxed,linestyle= 1,color=green):\nplots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 611 "p1 := semilogplot(evalf(abs(Tscheby3_1(tbs(I*x)))), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tsch ebyscheff Bandsperre 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD, 9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, -0.1..1.5]):\np2 := semilogplot(evalf(abs(Tscheby3_3(tbs(I*x)))), x=0. 01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-0.1..1.5]):\np3 := semilogplot(evalf(abs(Tscheby3_10(t bs(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.1..1.5]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,pl otoutput=`gleich_bs_Tscheby3_BodeAmpli.eps`,plotoptions=`portrait,nobo rder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 611 "p1 := semilogplot(evalf(abs(Tscheby3_1(tbs(I*x)))), \+ x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Tsch ebyscheff Bandsperre 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD, 9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100, -0.1..1.5]):\np2 := semilogplot(evalf(abs(Tscheby3_3(tbs(I*x)))), x=0. 01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,v iew=[0.01..100,-0.1..1.5]):\np3 := semilogplot(evalf(abs(Tscheby3_10(t bs(I*x)))), x=0.010..100,color=blue,\nnumpoints=1000,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-0.1..1.5]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(defaul t);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 642 "p1 := semilogplot(evalf(180 *argument(Tscheby3_1(tbs(I*x)))/Pi), x=0.01..100,color=black,\nlabels= [`Frequenz`,`Phase`], title=`Tschebyscheff Bandssperre 3dB 2.,6.,20. O rdnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickness=2,axes= boxed,linestyle=1,view=[0.01..100,-180..180]):\np2 := semilogplot(eval f(180*argument(Tscheby3_3(tbs(I*x)))/Pi), x=0.01..100,color=red,\nnump oints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180 ]):\np3 := semilogplot(evalf(180*argument(Tscheby3_10(tbs(I*x)))/Pi), \+ x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[0.01..100,-180..180]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "plotsetup(ps,plotoutput=`gl eich_bs_Tscheby3_BodePhase.eps`,plotoptions=`portrait,noborder,colour= rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 642 "p1 := semilogplot(evalf(180*argument(Tscheby3_1(tbs(I*x)))/Pi), x =0.01..100,color=black,\nlabels=[`Frequenz`,`Phase`], title=`Tschebysc heff Bandssperre 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], \+ numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180 ..180]):\np2 := semilogplot(evalf(180*argument(Tscheby3_3(tbs(I*x)))/P i), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,lines tyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(180*argum ent(Tscheby3_10(tbs(I*x)))/Pi), x=0.01..100,color=blue,\nnumpoints=200 ,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplot s[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Grup penlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 724 "p1 := semilo gplot(eval( -diff(evalc(argument( Tscheby3_1(tbs(I*y)))), y), y = x )/ (2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit` ], title=`Tschebyscheff Bandsperre 3dB 2.,6.,20. Ordnung`,titlefont=[H ELVETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,vi ew=[0.01..100,-0.5..20]):\np2 := semilogplot(eval( -diff(evalc(argumen t( Tscheby3_3(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,color=red, \nnumpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0. 5..20]):\np3 := semilogplot(eval( -diff(evalc(argument( Tscheby3_10(tb s(I*y)))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,th ickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20]):\nplots[di splay](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "p lotsetup(ps,plotoutput=`gleich_bs_Tscheby3_Gruppenlz.eps`,plotoptions= `portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 724 "p1 := semilogplot(eval( -diff(eval c(argument( Tscheby3_1(tbs(I*y)))), y), y = x )/(2*Pi), x=0.01..100,co lor=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], title=`Tschebyschef f Bandsperre 3dB 2.,6.,20. Ordnung`,titlefont=[HELVETICA,BOLD,9], num points=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20 ]):\np2 := semilogplot(eval( -diff(evalc(argument( Tscheby3_3(tbs(I*y) ))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,-0.5..20]):\np3 := semilog plot(eval( -diff(evalc(argument( Tscheby3_10(tbs(I*y)))), y), y=x )/(2 *Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,li nestyle=1,view=[0.01..100,-0.5..20]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}} }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 8 "Allp\344sse" }}{SECT 1 {PARA 3 " " 0 "" {TEXT -1 24 "Butterworth Allpassp\344sse" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 10 "Phasenbild" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 626 "p1 := complexplot(Allpass_1(I*10^x), x=-10..10,color=black,\nlabe ls=[`Realteil`,`Imagin\344rteil`], title=`Butterworth Allpass 1.,3.,10 . Ordnung + kritischer Tiefpass 10. Ordnung`, titlefont=[HELVETICA,BOL D,9],numpoints=200,thickness=2,axes=boxed,linestyle=1):\np2 := complex plot(Allpass_3(I*10^x), x=-10..10,color=red,\nnumpoints=200,thickness= 2,axes=boxed,linestyle=1):\np3 := complexplot(Allpass_10(I*10^x), x=-1 0..10,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1): \np4 := complexplot(fn(I*10^x,10), x=-10..10,color=black,\nnumpoints=2 00,thickness=2,axes=boxed,linestyle=1,color=green):\nplots[display](\{ p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "plotset up(ps,plotoutput=`gleich_Allpass_Phasenbild.eps`,plotoptions=`portrait ,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 626 "p1 := complexplot(Allpass_1(I*10^x), x=-10..10, color=black,\nlabels=[`Realteil`,`Imagin\344rteil`], title=`Butterwort h Allpass 1.,3.,10. Ordnung + kritischer Tiefpass 10. Ordnung`, titlef ont=[HELVETICA,BOLD,9],numpoints=200,thickness=2,axes=boxed,linestyle= 1):\np2 := complexplot(Allpass_3(I*10^x), x=-10..10,color=red,\nnumpoi nts=200,thickness=2,axes=boxed,linestyle=1):\np3 := complexplot(Allpas s_10(I*10^x), x=-10..10,color=blue,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1):\np4 := complexplot(fn(I*10^x,10), x=-10..10,color=bl ack,\nnumpoints=200,thickness=2,axes=boxed,linestyle=1,color=green):\n plots[display](\{p1,p2,p3,p4\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 18 "Bodeplot:Amplitude" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 582 "p1 := loglogplot(evalf(abs(Allpass_1(I*x))), x=0.01..100,colo r=black,\nlabels=[`Frequenz`,`Amplitude`], title=`Butterworth Allpass \+ 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9], numpoints=200,thickne ss=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np2 := loglo gplot(evalf(abs(Allpass_3(I*x))), x=0.01..100,color=red,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Allpass_10(I*x))), x=0.010..100,color=blue,\n numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,10^(- 2)..2]):\nplots[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Allpass_BodeAmpli.ep s`,plotoptions=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 582 "p1 := loglogplot(evalf(a bs(Allpass_1(I*x))), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Amp litude`], title=`Butterworth Allpass 1.,3.,10. Ordnung`,titlefont=[HEL VETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view= [0.01..100,10^(-2)..2]):\np2 := loglogplot(evalf(abs(Allpass_3(I*x))), x=0.01..100,color=red,\nnumpoints=200,thickness=2,axes=boxed,linestyl e=1,view=[0.01..100,10^(-2)..2]):\np3 := loglogplot(evalf(abs(Allpass_ 10(I*x))), x=0.010..100,color=blue,\nnumpoints=200,thickness=2,axes=bo xed,linestyle=1,view=[0.01..100,10^(-2)..2]):\nplots[display](\{p1,p2, p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default );" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 14 "Bodeplot:Phase" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 612 "p1 := semilogplot(evalf(180*argume nt(Allpass_1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,` Phase`], title=`Butterworth Allpass 1.,3.,10. Ordnung`,titlefont=[HELV ETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(Allpass_3 (I*x))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(18 0*argument(Allpass_10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplo ts[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gleich_Allpass_BodePhase.eps`,plotoption s=`portrait,noborder,colour=rgb,width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 612 "p1 := semilogplot(evalf(180*argume nt(Allpass_1(I*x))/Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,` Phase`], title=`Butterworth Allpass 1.,3.,10. Ordnung`,titlefont=[HELV ETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[ 0.01..100,-180..180]):\np2 := semilogplot(evalf(180*argument(Allpass_3 (I*x))/Pi), x=0.01..100,color=red,\nnumpoints=40,thickness=2,axes=boxe d,linestyle=1,view=[0.01..100,-180..180]):\np3 := semilogplot(evalf(18 0*argument(Allpass_10(I*x))/Pi), x=0.01..100,color=blue,\nnumpoints=20 0,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,-180..180]):\nplo ts[display](\{p1,p2,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(default);" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Grup penlaufzeit" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 697 "p1 := semilo gplot(eval( -diff(evalc(argument( Allpass_1(I*y))), y), y = x )/(2*Pi) , x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenlaufzeit`], tit le=`Butterworth Allpass 1.,3.,10. Ordnung`,titlefont=[HELVETICA,BOLD,9 ], numpoints=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0 .0..3.5]):\np2 := semilogplot(eval( -diff(evalc(argument( Allpass_3(I* y))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoints=200,thickn ess=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..3.5]):\np3 := semilo gplot(eval( -diff(evalc(argument( Allpass_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes=boxed,linesty le=1,view=[0.01..100,0.0..3.5]):\nplots[display](\{p1,p2,p3\});" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "plotsetup(ps,plotoutput=`gl eich_Allpass_Gruppenlz.eps`,plotoptions=`portrait,noborder,colour=rgb, width=4in,height=4in`);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 697 "p1 := semilogplot(eval( -diff(evalc(argument( Allpass_1(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=black,\nlabels=[`Frequenz`,`Gruppenla ufzeit`], title=`Butterworth Allpass 1.,3.,10. Ordnung`,titlefont=[HEL VETICA,BOLD,9], numpoints=200,thickness=2,axes=boxed,linestyle=1,view =[0.01..100,0.0..3.5]):\np2 := semilogplot(eval( -diff(evalc(argument( Allpass_3(I*y))), y), y = x )/(2*Pi), x=0.01..100,color=red,\nnumpoin ts=200,thickness=2,axes=boxed,linestyle=1,view=[0.01..100,0.0..3.5]): \np3 := semilogplot(eval( -diff(evalc(argument( Allpass_10(I*y))), y), y=x )/(2*Pi), x=0.01..100,color=blue,\nnumpoints=200,thickness=2,axes =boxed,linestyle=1,view=[0.01..100,0.0..3.5]):\nplots[display](\{p1,p2 ,p3\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plotsetup(defaul t);" }}}}}}}{MARK "4 1 0 0" 16 }{VIEWOPTS 1 1 0 1 1 1803 }