You’re close, but you’re not defining it correctly.
The definition of a pulse in the Symbolic Math context:
syms x w t T
rect = heaviside(x+1) - heaviside(x-1);
figure(1)
ezplot(rect, [-2 2]) % Display Function
grid
However the correct way to define it in terms of calculating its Fourier transform is to define it as 1 between -T and +T:
syms x w t T
ftpattern1 = int(1*exp(-j*w*t), t, -T, T)
produces:
ftpattern1 =
(2*sin(T*w))/w
Here, you can define T=1, and plotting it:
ftpattern1 = subs(ftpattern1, T, 1)
figure(2)
ezplot(ftpattern1, [-10*pi, 10*pi])
grid
This is the expected result.
