regarding Fourier transform of sinc function

I am trying to find the fourier transform of sinc (t) function, which acc. to the mathematics, should be a rectangular function ranges between (-.5, 0.5), but what I am getting is totally different than that. May I request you to help me with this.

Is their any way to calculate normal fourier without using fft function?

The MATLAB code is attached with this message.

Answer 1

[Bjorn Gustavsson]

Well, before plotting try to check what your variable fy is:

whos fy

Then when you see that it is a complex variable you have to check how matlab plots complex variables, once you've done that try:

fy = fftshift(fy);
plot([abs(fy);angle(fy);real(fy);imag(fy)]')

HTH