Convolve the following signals if the input of the system be given by, 𝒙[𝒏] = 𝟐[𝒖[𝒏 + 𝟐] − 𝒖[𝒏 − 𝟏𝟐]]. And the impulse response is given by, 𝒉[𝒏] = 𝟎. 𝟗[𝒖[𝒏 − 𝟐] − 𝒖[𝒏 − 𝟏𝟑]]
CODE:
clc;
clear all;
close all;
t=-15:15;
x1=[zeros(1,13)
ones(1,18)];
x2=[zeros(1,27)
ones(1,4)];
x3=x1-x2;
x=2*x3;
h1=[zeros(1,18)
ones(1,13)];
h2=[zeros(1,29) ones(1,2)];
h3=h1-h2;
=0.9*h3;
l1=length(x);
l2=length(h);
l3=l1+l2-1;
a=t:1:t+l1-1;
b=t:1:
t+l2-1;
c=a+b;
d=c:1:c+l3-1;
y=conv(x,h);
subplot(3,1,1);
stem(a,x);
xlabel('Time');
ylabel('Magnitude');
title('x[n]');
subplot(3,1,2);
stem(b,h);
xlabel('Time');
ylabel('Magnitude');
title('h[n]');
subplot(3,1,3);
stem(d,y);
xlabel('Time');
ylabel('Magnitude');
title('x[n]*h[n]');
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