Convolving Two Signals Using Matlab.

Hi, I have a question about convolution of 2 signals.

I shared my code at the end of the question.

I am wondering if I did it right?

Here is my code:

clear;
clc;
close;

x = [1 0 3 1 2 -1 0 0];      % Input signal zero-padded to length 8 
xm2 = [0 0 1 0 3 1 2 -1];  % Shifted input signal x[n-2] 
h = [2 0 2];                   % Impulse response to length 3

n = 0:9;                        % "time" values for x-axis of plot 8+3-1=10 --> means from 0 to 9

y1 = conv(x,h);                     % Make y1[n] = x[n] * h[n]

y2 = conv(xm2,h);                 % Make y2[n] = x[n-2] * h[n] 


subplot(2,1,1);                     % Make a 2x1 array of graphs and make the first graph the "current" one 
                                        
stem(n,y1);                         % Plot y1 against n 
title('y_1[n] = x[n] * h[n]');    % Title for top graph 
xlabel('n');                           % X-axis label for top graph 
ylabel('y_1[n]');                    % Y-axis label for top graph 


subplot(2,1,2);                     % Select the second graph as "current" 
  
stem(n,y2);                         % Plot y2 against n 
title('y_2[n] = x[n-2] * h[n]'); % Title for bottom graph 
xlabel('n');                          % X-axis label for bottom graph 
ylabel('y_2[n]');                   % Y-axis label for bottom graph

Answer 1

[Jaya]

The steps and the answer looks right to me. I also used an online convolution calculator to verify this. I didn't do by hand as I didn't have time.

But you can do it on paper as the signals are just shifted deltas. And show the verification for your class work (if it is required).

[cikalekli]

Thank you so much for your response, I will do it what you have said to me.