How can I plot this periodic function?

Hi,

I have the signal which is periodic:

F(t) = te^(2t), -2 < t < 2 , Period T=4

I want to graph this periodicaly for -5 < t < 6

Can anyone help?

Thanks in Advance!!

Answer 1

[Jack]

Hi,

Sure I can help you with that

% Define the function F(t)
F = @(t) t.*exp(2*t);

% Define the period and the time range to plot
T = 4;
t = linspace(-5, 6, 1000);

% Compute the periodic signal using the modulo function
F_periodic = F(mod(t, T) - T/2);

% Plot the periodic signal
plot(t, F_periodic);
xlabel('t');
ylabel('F(t)');
title('Periodic signal F(t) = te^(2t), T = 4');

In this code, we first define the function F(t) using an anonymous function. Then we define the period T and the time range to plot using the linspace function. We use the mod function to compute the periodic signal by taking the remainder of t/T and shifting it by T/2. Finally, we plot the periodic signal using the plot function and add labels and a title to the plot using the xlabel, ylabel, and title functions.

[Mohammad Sharifi]

Hi Jack,

Thank you so much!!

[Paul]

I don't think this code is correct.

% Define the function F(t)
F = @(t) t.*exp(2*t);
% Define the period and the time range to plot
T = 4;
t = linspace(-5, 6, 1000);
% Compute the periodic signal using the modulo function
F_periodic = F(mod(t, T) - T/2);
% Plot the periodic signal
plot(t, F_periodic);

Now compare to the original function over the stated interval

hold on
t = linspace(-2,2,100);
plot(t,F(t))