Can you help me? :(

I made a unit square pulse and added it to the Fourier.

The integral formula came out well, but the graph is strange.

What's the problem?(I am sorry for my poor English.)

<Code>

clear;
close all;
clc;

syms t w
y=rectangularPulse(t);
f(t)=y*exp(-i*w*t);
F=int(f(t),t,-100,100)
fplot(w,F)

[Walter Roberson]

fplot(F, [-5,5])

Answer 1

[Ameer Hamza]

This demo shows how to find the fourier and inverse fourier transforms

Fourier transform:

syms t w
y(t) = rectangularPulse(t);
F(w) = int(y(t)*exp(-1i*w*t), t, -0.5, 0.5); % pulse only exist between -0.5 to 0.5
figure;
fplot(F, [-100 100]);

Inverse:

F_inv(t) = int(F(w)*exp(-1i*w*t), w, -100, 100); % integrate frequencies between -100 to 100
t_val = linspace(-2, 2, 1000);
F_val = F_inv(t_val);
figure;
plot(t_val, F_val)

[Jin You]

thank you so much!!! It's very helpful!!!!

[Ameer Hamza]

I am glad to be of help!!