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This research aims to explore and confirm the inversion formula of the windowed special affine Fourier transform.

Inversion of the Windowed Special Affine Fourier Transform and Numerical Results

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This research aims to explore and confirm the inversion formula of the windowed special affine Fourier transform.
Investigated the inversion formula using Riemann sums
Assessed convergence of Riemann sums to the target function as sampling size decreases
Utilized Poisson summation formula to validate the inversion formula
Conducted numerical experiments with various window functions
Riemann sums converge to the target function for specific window functions
The inversion formula is proven valid for all considered cases
Numerical experiments demonstrate the effectiveness of the inversion formula

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The study investigates the inversion formula in signal processing, confirming its effectiveness with numerical experiments.

Han et al. (2026) studied this question.

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