For the following DT LTI system with impulse response hn and

For the following DT LTI system with impulse response h[n] and frequency response H(e^j), how to compute H(e^j) from h[n]?

Solution

close all;

clear all;

clc;

t=0:0.01:5;

x=exp(t);

y=exp(t.^2);

z=conv(x,y);

subplot(3,1,1);

plot(t,x);

xlabel(\'time\');

ylabel(\'amplitude\');

title(\'time signal-1\');

subplot(3,1,2);

plot(t,y);

xlabel(\'time\');

ylabel(\'amplitude\');

title(\'time signal-2\');

subplot(\'3,1,3\');

plot(z);

xlabel(\'time\');

ylabel(\'amplitude\');

close all;

clear all;

clc;

x=[1 2 3];

y=[6 7 8];

z=conv(x,y);

subplot(3,1,1);

stem(x);

xlabel(\'time\');

ylabel(\'amplitude\');

title(\'time signal-1\');

subplot(3,1,2);

stem(y);

xlabel(\'time\');

ylabel(\'amplitude\');

title(\'time signal-2\');

subplot(3,1,3);

stem(z);

xlabel(\'time\');

ylabel(\'amplitude\');