2D FFT of a 4D matrix

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Roger ALIMI
Roger ALIMI 2022-1-20
评论： Bjorn Gustavsson 2022-1-24
Hi,
I have a 4D matrix M(x,px,y,py); I need to perform 2D FFT along the (x,y) coordinates and a 2DIFFT along the (px,py) coordinates. Is it possible to use only FFT ( and IFFT) function which can deal with separated dimensions ? Or maybe FFT2 (and IFFT2) although this function cannot work along specific dimensions ? Thank you for any help.

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Bjorn Gustavsson
Bjorn Gustavsson 2022-1-20
Shouldn't this effectively be the same as running an FFT on the entire 4D-array (with some confusion about normalization-factors)?
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Roger ALIMI
Roger ALIMI 2022-1-23
Thanks again Bjorn,
You are right, using a sequential call of 2 ffts and 2 iffts (the order does does not matter I guess) seems to do the job.
Regards,
Roger
Bjorn Gustavsson
Bjorn Gustavsson 2022-1-24
Great that it solved your problem.
The order should by definition not matter since the transform separates over orthogonal dimensions...

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