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I am working in the field of digital signal processing. Recently I read a paper that tells about phase only component of a Signal. It is given that the phase only component is calculated as $r_{phase}=\frac{F(n)}{||F(n)||}$, where $F(n)$ is discrete Fourier transform of any signal $n$ and $||F(n)||$ is Fourier magnitude of signal $n$. I know that $F(n)$ can be calculated as F(n)=dft2(n), Can anyone please tell that how to calculate the $||F(n)||$ in MATLAB.

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  • $\begingroup$ its difficult for me, hopefully NOT for others. $\endgroup$ – Mayank Tiwari Feb 6 '17 at 5:18
  • $\begingroup$ Can I please ask what does dft2 means here? $\endgroup$ – A_A Feb 6 '17 at 9:03
  • $\begingroup$ @A_A, dft2 means discrete Fourier transform for 2D signal. $\endgroup$ – Mayank Tiwari Feb 6 '17 at 12:19
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I suppose you mean fft2 in MATLAB notation (its the same calculation as 2-D DFT, but with less computation time.

Then, you can go for:

F = fft2(I);
r = F ./ abs(F)

to get the phase-only information of the Fourier Transform.

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