the quastion is create a set of K pulses with awidth of Tk where Tk=T/K the signals are shifted from each other by Tk?

i want to build agroup of pulses with specific specifications

the quastion is create a set of (K) pulses with a width T=L/k the signals are shifted from each other by T ?

Answer 1

[Vaibhav]

Hi Mahmood,

I understand that you would like to create a set of "K" pulses with a specific width.

To generate the sequence of pulses, possible workaround is to utilize the "rectpuls" function. This function produces a rectangular pulse with a specified width, centered at time t=0.

The below code snippet creates a series of "K" rectangular pulses one after the other. Each pulse is made using the "rectpuls" function, with a width of "T", and it's placed in time based on its position in the sequence. Afterward, each pulse is plotted separately.

% Parameters
L = 1;       % Total duration
K = 5;       % Number of pulses
T = L / K;   % Width of each pulse
 
 
% Time vector
Fs = 1000;   % Sampling frequency
t = 0:1/Fs:L;

% Plot each pulse separately
figure;
hold on;
for i = 1:K
    plot(t, rectpuls(t - (i-1)*T, T), 'DisplayName', ['Pulse ', num2str(i)]);
end
hold off;
 
 
xlabel('Time');
ylabel('Amplitude');
title('Set of Shifted Pulses');
legend('show');

You can refer to the following MathWorks documentation link to know more about "rectpuls" function:

https://www.mathworks.com/help/signal/ref/rectpuls.html?searchHighlight=rectpuls&s_tid=srchtitle_support_results_1_rectpuls

Hope this helps!