How to do Fourier Transform/FFT on a symbolic function

For example I have created a sine wave using symbolic function as follow:

syms t
CycleLength = 1/2.2e9; %(frequency = 2.2GHz);
S(t) = sin(2*pi*t/CycleLength);
fplot(S, [0 1e-8]); ylim([-1.1 1.1]);
title 'Sine wave';

And then I'd like to do FFT on the sine wave. I know FFT is designed only to work numerically on discrete data. But I don't know how to deal with the symbolic expression.

(I've already know the frequency is 2.2GHz in this case but I will be doing more FFT on other symbolic function signals)

Answer 1

[Tomas Salvadores Viertel]

You can use the fourier command to get the fourier transform of a symbolic expression.

F = fourier(S)