What are the frequencies when N in fft(x,N) is odd?

I know when N is even, fft(x,N) corresponds to frequencies 0,df,...,N/2*df,-(N/2-2)*df,...,-df.
What about if N is odd?

 采纳的回答

In general, you can do it as
f = (0:N-1)*fs/N
If you want to map it to negative frequencies
if N is even
f(N/2+1:end) = f(N/2+1:end)-fs % sample -fs/2
or
f(N/2+2:end) = f(N/2+2:end)-fs % sample fs/2
if N is odd
f((N+1)/2+1:end) = f((N+1)/2+1:end)-fs
HTH

5 个评论

why there are different two for even N?
-fs/2 and fs/2 are the same point due to periodicity. The difference is really just which one you want to display in your axis
the output of fft is unique, but in the two formulae, the f axis is shifted by one point.
That's not true. Only one point is changed, from fs/2 to -fs/2 and because the result is periodic, they are indeed the same so you can mark it either way
To be clear, if you are using fftshift on your FFT data and N is even, use the first option (repeated here):
f(N/2+1:end) = f(N/2+1:end)-fs % sample -fs/2

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更多回答(1 个)

if x is ampled at fs you can generate frequency vector use
freqvec=linspace(0,fs,N);

3 个评论

I don't think so. The negative frequencies are missing.
This is incorrect. linspace always sample the last one, which you don't want.
@Honglei Chen Hi, can i know why last sample should not be taken into?

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