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FOSSEE Signal Processing Toolbox >> FOSSEE Signal Processing Toolbox > cheby1

cheby1

This function generates a Chebyshev type I filter with rp dB of passband ripple.

Calling Sequence

[a, b] = cheby1 (n, rp, w)
[a, b] = cheby1 (n, rp, w, "high")
[a, b] = cheby1 (n, rp, [wl, wh])
[a, b] = cheby1 (n, rp, [wl, wh], "stop")
[a, b, c] = cheby1 (…)
[a, b, c, d] = cheby1 (…)
[…] = cheby1 (…, "s")

Parameters

n:

positive integer value

rp:

non negative scalar value

w:

vector, all elements must be in the range [0,1]

Description

This is an Octave function. This function generates a Chebyshev type I filter with rp dB of passband ripple. The fourth parameter takes in high or low, default value is low. The cutoff is pi*Wc radians. [b, a] = cheby1(n, Rp, [Wl, Wh]) indicates a band pass filter with edges pi*Wl and pi*Wh radians. [b, a] = cheby1(n, Rp, [Wl, Wh], ’stop’) indicates a band reject filter with edges pi*Wl and pi*Wh radians. [z, p, g] = cheby1(...) returns filter as zero-pole-gain rather than coefficients of the numerator and denominator polynomials. [...] = cheby1(...,’s’) returns a Laplace space filter, w can be larger than 1. [a,b,c,d] = cheby1(...) returns state-space matrices.

Examples

[a,b,c]=cheby1(2,6,0.7,"high")
a =
1   1
b =
-0.62915 + 0.55372i  -0.62915 - 0.55372i
c =  0.055649

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