Transform

Is fft2 in MATLAB unitary? Some differences happen

Is fft2 in MATLAB unitary? Some differences happen
  1. Is FFT unitary?
  2. What does fft2 do in Matlab?

Is FFT unitary?

The standard (conventional) definition of DFT (1D or 2D) is not unitary. Hence MATLAB's fft() and fft2() functions will not provide unitary transforms; i.e., they do not preserve energy.

What does fft2 do in Matlab?

Y = fft2( X ) returns the two-dimensional Fourier transform of a matrix using a fast Fourier transform algorithm, which is equivalent to computing fft(fft(X). '). ' . If X is a multidimensional array, then fft2 takes the 2-D transform of each dimension higher than 2.

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