Inversion Formula for the Windowed Fourier Transform

2010/06/20 by Wenchang Sun, Sun, Wenchang · 1 citation
Mathematics · Computer Science · #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods #Digital Filter Design and Implementation

paper · pdf · doi:10.48550/arxiv.1006.3967

Abstract

In this paper, we study the inversion formula for recovering a function from its windowed Fourier transform. We give a rigorous proof for an inversion formula which is known in engineering. We show that the integral involved in the formula is convergent almost everywhere on \bbR as well as in L^p for all 1

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