stem a convolve signal

% Define fs and time duration
fs = 10; % sample/second
duration = 1; % second
% Generate the time axis
t = 0:1/fs:duration-1/fs;
% the rectangular signal
x = ones(size(t));
% Plot the signal
subplot(2,1,1);
stem(t, x);
xlabel('Time (s)');
ylabel('Amplitude');
title('orignal Signal x[n]');
% Convolve the signal with itself
y = conv(x, x);
% Generate the time axis for the convolved signal
t_conv = 0:1/fs:2*duration-1/fs;
% Plot the convolved signal
subplot(2,1,2);

stem(t_conv, y);

Error using stem
X must be same length as Y.

xlabel('Time (s)');
ylabel('Amplitude');
title('Convolved Signal y[n]');

[Mohammed Alqahtany]

i have a problem when i want to stem a function

(Error using stem

X must be same length as Y.)

[Dyuman Joshi]

The error is clear - The lengths of t_conv and y are not the same.

They should be the same.

[Mohammed Alqahtany]

thank you

Answer 1

[Paul]

Because the first point in x corresponds to t = 0, so does the first point in y. t_conv has to have as many points as y. And the spacing in t_conv has to be fs. So the easiest way to construct the time vector that corresponds to y is

t_conv = (0:numel(y)-1)/fs

[Mohammed Alqahtany]

thank it work now

[Paul]

You're welcome.

Don't forget to divide y by fs if using conv, which computes the convolution sum, to approximate the convolution integral.