FFT (inverse M) = IFFT (M)

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Just to feed my curiosity, Is the following statement true: FFT (inverse M) = IFFT (M)

Where FFT is the fourier transform, IFFT its inverse, and M a square matrix of any kind (made of natural integers).

Thanks,

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It is not true at all. why did you think that it could be in the first place? here is a counterexample from Matlab:

fft([1 1; 2 1])

ans =

 3     2
 -1     0

ifft([1 1; 2 1]^-1)

ans =

0.5000         0
-1.5000    1.0000