cheb1ap (Signal Processing Toolbox)

Chebyshev type I analog lowpass filter prototype.

Syntax

[z,p,k] = cheb1ap(n,Rp)

Description

[z,p,k] = cheb1ap(n,Rp) returns the poles and gain of an order n Chebyshev type I analog lowpass filter prototype with Rp dB of ripple in the passband. The function returns the poles in the length n column vector p and the gain in scalar k. z is an empty matrix, because there are no zeros. The transfer function is

Chebyshev type I filters are equiripple in the passband and monotonic in the stopband. The poles are evenly spaced about an ellipse in the left half plane. The Chebyshev type I cutoff frequency is set to 1.0 for a normalized result. This is the frequency at which the passband ends and the filter has magnitude response of 10^-Rp/20.

See Also

besselap
Bessel analog lowpass filter prototype.

buttap
Butterworth analog and digital filter design.

cheb2ap
Chebyshev type I analog lowpass filter prototype.

cheby1
Chebyshev type I filter design (passband ripple).

ellipap
Elliptic analog lowpass filter prototype.

`besselap`	Bessel analog lowpass filter prototype.
`buttap`	Butterworth analog and digital filter design.
`cheb2ap`	Chebyshev type I analog lowpass filter prototype.
`cheby1`	Chebyshev type I filter design (passband ripple).
`ellipap`	Elliptic analog lowpass filter prototype.

References

[1] Parks, T.W., and C.S. Burrus. Digital Filter Design. New York: John Wiley & Sons, 1987. Chapter 7.

cell2sos cheb1ord