Signal Toolkit - cheby1

Function File: [b, a] = cheby1 (n, rp, w)

Function File: [b, a] = cheby1 (n, rp, w, "high")

Function File: [b, a] = cheby1 (n, rp, [wl, wh])

Function File: [b, a] = cheby1 (n, rp, [wl, wh], "stop")

Function File: [z, p, g] = cheby1 (…)

Function File: [a, b, c, d] = cheby1 (…)

Function File: […] = cheby1 (…, "s")

Generate a Chebyshev type I filter with rp dB of passband ripple.

[b, a] = cheby1(n, Rp, Wc) low pass filter with cutoff pi*Wc radians

[b, a] = cheby1(n, Rp, Wc, ’high’) high pass filter with cutoff pi*Wc radians

[b, a] = cheby1(n, Rp, [Wl, Wh]) band pass filter with edges pi*Wl and pi*Wh radians

[b, a] = cheby1(n, Rp, [Wl, Wh], ’stop’) band reject filter with edges pi*Wl and pi*Wh radians

[z, p, g] = cheby1(...) return filter as zero-pole-gain rather than coefficients of the numerator and denominator polynomials.

[...] = cheby1(...,’s’) return a Laplace space filter, W can be larger than 1.

[a,b,c,d] = cheby1(...) return state-space matrices

References:

Parks & Burrus (1987). Digital Filter Design. New York: John Wiley & Sons, Inc.