chebyshevpoles.html

syntfil[ChebyshevPoles] - compute the poles of the transfer function for the Chebyshev approximation

Calling sequence:

ChebyshevPoles(order, Os, ap)

Parameters:

order - order of the Chebyshev approximation [-]

Os - stopband frequency of normalized lowpass (NLP) [1/s]

ap - passband ripple [dB]

Parameter order must be positive integer. Parameter ap must be positive number. Parameter Os is not utilized and its type is not checked.

Description:

This function returns the leading coefficient of denominator polynomial of transfer function and one dimensional array of transfer function's poles.

Count of poles is given by order parameter.

Info level:

Setting of variable infolevel[syntfil] can be used to get more detailed results.

infolevel[syntfil] =

2 - print leading coefficient of denominator polynomial of transfer function and one dimensional array of transfer function's poles on separate lines with description

3 - as level 2 + print parameter .

4 - as level 3 + print ellipse parameter ( , ) on which lies poles of transfer function.

Example:

> with(syntfil):

> infolevel[syntfil]:=3;

> ChebyshevPoles(5,2,3);

epsilon = .9976283451

ChebyshevPoles:

Gc = 15.96205352

Poles = [-.5485987094e-1+.9659274757*j, -.5485987094e-1-.9659274757*j, -.1436250067+.5969760105*j, -.1436250067-.5969760105*j, -.1775302716]

> infolevel[syntfil]:=1;

> ChebyshevPoles(4,2,3);

See also:

ChebyshevNLPOrder

Chebyshev, Chebyshev_asnew

NLP2LP, NLP2HP, NLP2BP, NLP2BP2, NLP2BS, BodePlot

in addition to Chebyshev approximation the following approximations can be used
ButterworthPoles, InvChebyschevPolesZeros, InvChebyshevBPolesZeros, CauerPolesZeros, CauerBPolesZeros, CauerCPolesZeros