write a MATLAB function to implement Continuestime Fourier T

write a MATLAB function to implement Continues-time Fourier Transform and inverse-Fourier Transform

Solution

Continuos time Fourier Transform

>> dt = 0.001;

>> t = 0:dt:2*2*pi;

>> x = cos(t);

>> f = fftshift(fft(x));

>> N = length(f);

>> n = -(N-1)/2:(N-1)/2;

>> w = 2*pi*n/N/dt;

>> f = f ./ N;

>> stem(w,real(f));

>> axis([-10 10 -1 1]);