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cheb1ap    See Also

Chebyshev type I analog lowpass filter prototype.

Syntax

Description

[z,p,k] = cheb1ap(n,Rp) returns the zeros, poles, and gain of an order n Chebyshev type I analog lowpass filter prototype with Rp dB of ripple in the passband. It 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.

References

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


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