📄 buttap.m
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function [z,p,k] = buttap(n)%BUTTAP Butterworth analog lowpass filter prototype.% [Z,P,K] = BUTTAP(N) returns the zeros, poles, and gain% for an N-th order normalized prototype Butterworth analog% lowpass filter. The resulting filter has N poles around% the unit circle in the left half plane, and no zeros.%% See also BUTTER, CHEB1AP, CHEB2AP, ELLIPAP.% Author(s): J.N. Little and J.O. Smith, 1-14-87% L. Shure, 1-13-88, revised% Poles are on the unit circle in the left-half plane.z = [];p = exp(i*(pi*(1:2:n-1)/(2*n) + pi/2));p = [p; conj(p)];p = p(:);if rem(n,2)==1 % n is odd p = [p; -1];endk = real(prod(-p));
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