📄 cheby1_3db_lp.m
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function [b,a] = cheby1_3db_lp(N,Fc,Ap)
% CHEBY1_3DB Design a lowpass Chebyshev Type I filter given a 3 dB point.
% Inputs:
% N - Filter order
% Fc - 3 dB cutoff frequency (0 to 1)
% Ap - Passband attenuation (dB)
% Compute cutoff frequency of analog lowpass filter
Wc = tan(pi*Fc/2);
% Find corresponding analog passband-edge frequency
Wp = Wc/cosh(1/N*acosh(1/sqrt(10^(Ap/10)-1)));
% Convert analog passband-edge frequency to digital
Fp = 2*atan(Wp)/pi;
% Use classic design technique
[b,a] = cheby1(N,Ap,Fp)
fvtool(b,a);
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