Calculating phase only component of a signal in MATLAB

Question

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.

Answer 1

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.