📄 freqrsp.m
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function [a,phi,f] = freqrsp (u,y,fs)
%-----------------------------------------------------------------------
% Usage: [a,phi,f] = freqrsp (u,y,fs)
%
% Description: Compute the frequency response of a discrete-time
% system from its input and output.
%
% Inputs: u = n by 1 vector containing the input signal
% y = n by 1 vector containing the output signal
% fs = sampling frequency in Hz
%
% Outputs: a = n by 1 vector containing magnitude response
% phi = n by 1 vector containing phase response
% in degrees.
% f = n by 1 vector containing the evaluation
% frequencies: f(k) = (k-1)*fs/n
%-----------------------------------------------------------------------
% Initialize
chkvec (u,1,'freqrsp');
chkvec (y,2,'freqrsp');
n = length(u);
if length(y) ~= n
disp ('The inputs to freqrsp must be of the same length.')
return
end
c = zeros (n,1);
d = zeros (n,1);
% Compute magnitude and phase
[c,d,f] = spectra (u,fs);
[a,phi,f] = spectra (y,fs);
for i = 1 : n
a(i) = a(i)/max([c(i),eps]);
phi(i) = phi(i) - d(i);
while phi(i) < -180
phi(i) = phi(i) + 360;
end
while phi[i] > 180
phi(i) = phi(i) - 360;
end
end
%-----------------------------------------------------------------------
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