Inversion formula for the windowed Fourier transform, II |
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| Authors: | Xudong Sun Wenchang Sun |
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| Institution: | 1. College of Science, Hohai University, Nanjing, 210098, China
2. Department of Mathematics and LPMC, Nankai University, Tianjin, 300071, China
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| Abstract: | In this paper, we study the approximation of the inversion of windowed Fourier transforms using Riemannian sums. We show that for certain window functions, the Riemannian sums are well defined on L p (?), 1?<?p?<?∞, and tend to the function to be reconstructed as the sampling density tends to infinity. |
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