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Characterization of finite signals with low-rank STFT

Abstract : The goal of this paper is characterize finite-length signals that have a low-rank short-time Fourier transform. By using the connection with Hankel matrices, we give a comprehensive answer in case of maximal overlap, where the class of signals includes products of complex exponentials and polynomials. In the general case, other exotic examples may appear.
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https://hal.archives-ouvertes.fr/hal-01717931
Contributor : Konstantin Usevich <>
Submitted on : Monday, February 26, 2018 - 8:43:11 PM
Last modification on : Sunday, July 5, 2020 - 10:20:03 PM
Long-term archiving on: : Monday, May 28, 2018 - 6:51:21 PM

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  • HAL Id : hal-01717931, version 1

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Konstantin Usevich, Valentin Emiya, David Brie, Caroline Chaux. Characterization of finite signals with low-rank STFT. IEEE Statistical Signal Processing Workshop (SSP), Jun 2018, Freiburg, Germany. ⟨hal-01717931v1⟩

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