Get time signal back after NFFT

3 views (last 30 days)
So on 27 Sep 2017
Commented: Christoph F. on 28 Sep 2017
I have the following code, which generate a complex chirp signal.
fs = 200e6
t1 = 1e-3;
i = mychirp(t,f0,t1,f1);
q = mychirp_sine(t,f0,t1,f1);
x = complex(i,q);
L = length(x);
NFFT = 2^nextpow2(L)*4;
X = fftshift((fft(x,NFFT)));
f = fs*(-NFFT/2:NFFT/2-1)/NFFT;
Here is what I got in time domain and frequency domain :
Now I would like to go back in the Time domain after my FFT computed with the factor NFFT. Does anyone know how to compute the time vector in order to plot(timeVector,ifft(X)) ? I would like to plot my original signal after the IFFT.
Thank you.

Answers (1)

Christoph F.
Christoph F. on 27 Sep 2017
The time vector as as many elements as X, and they are spaced 1/(f(2)-f(1)) apart.
And you will probably need to reverse the fftshift performed on X with ifftshift(X) before doing an ifft.
Christoph F.
Christoph F. on 28 Sep 2017
I see it now.
In that case, transforming back to the original time domain signal requires knowledge of the original sampling rate and the number of padding samples used in fft(). This information can no longer be determined from the vector f.
One approach would be:
1. Transform back to the zero-padded signal
xc = ifft(ifftshift(X))
2. Remove the padding zeros
xc = xc(1:length(x))

Sign in to comment.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!