Low Freq 2D Fourier Transform

Version 1.3.0.0 (2,06 ko) par Daniel
Produces high resolution 2D Fourier Transform for low spatial frequencies.
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Mise à jour 20 nov. 2013

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Useage case:
You are only interested in the low spatial frequencies of your matrix, but you want a high resolution transform. Using fft2 with lots of zero-padding you get a decent resolution but it takes too long. What can you do? Try sft2_low!

Algorithm:
This function uses the basic Fourier transform rather than the FFT, but because it is only evaluating it at a small number of points the total execution time is considerably less (it can be 20x faster or more).

The code is fully vectorised, so it's pretty quick even though it's doing a lot of arithmetic. At some point I may generalise the code to allow you to specify your exact frequencies of interest.

Warning:
The output should be correct, but I recommend testing it and comparing the values with fft2. Please report problems and suggestions in the comments.

Citation pour cette source

Daniel (2026). Low Freq 2D Fourier Transform (https://fr.mathworks.com/matlabcentral/fileexchange/43311-low-freq-2d-fourier-transform), MATLAB Central File Exchange. Extrait(e) le .

Compatibilité avec les versions de MATLAB
Créé avec R2012b
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
Catégories
En savoir plus sur Fourier Analysis and Filtering dans Help Center et MATLAB Answers
Remerciements

Inspiré par : Numerical Methods for Physics

Version Publié le Notes de version
1.3.0.0

improved comments

1.1.0.0

Code is now optimized to work specifically on real-valued inputs. It also now optionally gives the frequencies as outputs.

1.0.0.0