MATLAB: I would like to rewrite fftshift(f​ft2(fftshi​ft(x)))) as F*x*F.’ but how to handle the fftshifts

Question

I would like to rewrite fftshift(fft2(fftshift(x)))) as F*x*F.' (where F = dftmtx(N) and N is the size of x), but how do I handle the fftshifts?

Thanks so much for your help!

Christine

Answer 1

    F=fft(  fftshift(eye(N),1)  ,[],1);
    F=fftshift(F,1);