Signals and systems I need help in matlab coding to generate

Signals and systems

I need help in matlab coding to generate magnitude and phase response by only using system function H(z) rather than express the system function H(z) into magnitude and phase response first.

Solution

MATLAB CODE :

clc;
clear all;
w=-pi:0.01:pi; % frequency vector
z=exp(1j*w); % z - domain variable
H1=zeros(1,length(w)); % initialization of filter response
N=3; % No. of samples
for n=0:N;
H1=H1+z.^(-n); % filter equation H(z)=1+z^-1 +z^-2 +.......+z^-N
end   
H=H1/(N+1);
subplot(211);
plot(w,abs(H));
xlabel(\'frequency W\');
ylabel(\'Amplitude\');
title(\'Magnitude Response\');
subplot(212);
plot(w,angle(H));
xlabel(\'frequency W\');
ylabel(\'Phase\');
title(\'Phase Response\');