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I have written some routines that compute the 2D inverse Fourier transform, if anyone thinks that this may be useful at all then please let me know and I will gladly post the code.
The discussion centers on the limitations of Matlab's built-in functions for 2D inverse Fourier transforms, specifically fft2 and ifft2. The author argues that these functions do not perform true Fourier transforms as they fail to evaluate a function at a single point k. The author has developed custom routines to compute the 2D inverse Fourier transform and expresses willingness to share this code if there is interest. Additionally, the author critiques Matlab's Hilbert transform functionality, preferring to calculate it independently.
PREREQUISITESMatlab users, signal processing engineers, and researchers needing precise control over Fourier transform computations and those seeking alternatives to built-in functions for advanced mathematical analysis.