Výpočet některých ostatních aproximací

Při změně parametru infolevel[syntfil] , lze obdržet výpis důležitých parametrů aproximace. Od provozního činitele přenosu, charakteristické funkce a případně nul přenosové funkce (při hodnotě 2) až např. po hodnotu parametrů elipsy (pro Čebyševovu aproximaci) pro hodnotu 5.    

>    infolevel[syntfil]:=5:

>    Butterworth(Nb3,p):

>    `************************************************************************************************************`;

>    Chebyshev(Nch3,p):

>    `************************************************************************************************************`;

>    CauerC(Nc3,p):

>    infolevel[syntfil]:=1: 

epsilon = 0.997628

Poles of H:

[-.99533242750582889494+.98031687591942041575e-1*I, -.99533242750582889494-.98031687591942041575e-1*I, -.95708236050563597731+.29032775999847156639*I, -.95708236050563597731-.29032775999847156639*I, -.88205215512918285240+.47146669940594341417*I, -.88205215512918285240-.47146669940594341417*I, -.77312518009166267613+.63448743795681598176*I, -.77312518009166267613-.63448743795681598176*I, -.63448743795681598175+.77312518009166267614*I, -.63448743795681598175-.77312518009166267614*I, -.47146669940594341418+.88205215512918285239*I, -.47146669940594341418-.88205215512918285239*I, -.29032775999847156641+.95708236050563597731*I, -.29032775999847156641-.95708236050563597731*I, -.98031687591942041603e-1+.99533242750582889494*I, -.98031687591942041603e-1-.99533242750582889494*I]

Butterworth:

G = .99999999999999999968+.99762834511098350277*p^16+10.179611497138728256*p^15+51.935418004362652362*p^14+175.50031887805453415*p^13+438.92221417376190467*p^12+860.36114064617031659*p^11+1365.9540291993663898*p^10+1790.5577789469930489*p^9+1957.7316215098091978*p^8+1791.0893114253749126*p^7+1366.7651247182507306*p^6+861.12757051850881173*p^5+439.44362782477837912*p^4+175.76096257337459228*p^3+52.027989794181833932*p^2+10.200783283079964926*p

Phi = .99762834511098350277*p^16

`************************************************************************************************************` 

epsilon = .99762834511098350277

Ellipse: a = .14770749381119631350, b = 1.0108498917880857137

Zeros of Phi:

[.96592582628906828675*I, -.96592582628906828675*I, .70710678118654752440*I, -.70710678118654752440*I, .25881904510252076234*I, -.25881904510252076234*I]

Poles of H:

[-.38229512502700325038e-1+.97640601697962195635*I, -.38229512502700325038e-1-.97640601697962195635*I, -.10444497050596691430+.71477881324504316802*I, -.10444497050596691430-.71477881324504316802*I, -.14267448300866723934+.26162720373457878832*I, -.14267448300866723934-.26162720373457878832*I]

Chebyshev:

G = 1.4125375446227543018+31.924107043551472089*p^6+18.219021871808234562*p^5+53.084939618294889659*p^4+22.047101032926418314*p^3+22.318071045310186612*p^2+5.2173540431177958629*p

Phi = .99762834511098350273+31.924107043551472089*p^6+47.886160565327208133*p^4+17.957310211997703049*p^2

`************************************************************************************************************` 

epsilon = .99762834511098350277

Zeros(A) of Phi:

[.47778407531129342574*I, -.47778407531129342574*I, .95609934586612788673*I, -.95609934586612788673*I]

Poles(A) of Phi:

[2.5336263352870697140*I, -2.5336263352870697140*I, 1.2661093442050847483*I, -1.2661093442050847483*I]

Zeros(A) of H:

[2.5336263352870697140*I, -2.5336263352870697140*I, 1.2661093442050847483*I, -1.2661093442050847483*I]

Poles(A) of H:

[-.23491854261519983975+.50585856723144249586*I, -.23491854261519983975-.50585856723144249586*I, -.50289760835448332893e-1+.97317417636676813214*I, -.50289760835448332893e-1-.97317417636676813214*I]

Zeros(B) of Phi:

[.44701478994200823620*I, -.44701478994200823620*I, .94861299014473373143*I, -.94861299014473373143*I]

Poles(B) of Phi:

[1.3430361913747595472*I, -1.3430361913747595472*I]

Zeros(B) of H:

[1.3430361913747595472*I, -1.3430361913747595472*I]

Poles(B) of H:

[-.22819802882440091377+.46778551147221393239*I, -.22819802882440091377-.46778551147221393239*I, -.58682067742414124338e-1+.96766909023114768573*I, -.58682067742414124338e-1-.96766909023114768573*I]

Zeros of Phi:

[.93534007984228978050*I, -.93534007984228978050*I]

Poles of Phi:

[1.4157893738834918002*I, -1.4157893738834918002*I]

Poles of H:

[-.39454083422458955145+.33812727971428998523*I, -.39454083422458955145-.33812727971428998523*I, -.73919833891073927487e-1+.96003000962757114084*I, -.73919833891073927487e-1-.96003000962757114084*I]

CauerC:

G = (2.0044595512014097336+8.0077181372105992635*p^4+7.5026019772791870515*p^3+10.520314752296721505*p^2+6.1778776024917888717*p)/(2.0044595512014097335+p^2)

Phi = (8.0077181372105992635*p^4+7.0056408174146156691*p^2)/(2.0044595512014097335+p^2)

Zeros = [1.4157893738834918002*I, -1.4157893738834918002*I]