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Adaptive multimode signal reconstruction from time–frequency representations

Meignen, Sylvain and Oberlin, Thomas and Depalle, Philippe and Flandrin, Patrick and McLaughlin, Stephen Adaptive multimode signal reconstruction from time–frequency representations. (2016) Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 374 (2065). 1-13. ISSN 1364-503X

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Official URL: https://doi.org/10.1098/rsta.2015.0205

Abstract

This paper discusses methods for the adaptive reconstruction of the modes of multicomponent AM–FM signals by their time–frequency (TF) representation derived from their short-time Fourier transform (STFT). The STFT of an AM–FM component or mode spreads the information relative to that mode in the TF plane around curves commonly called ridges. An alternative view is to consider a mode as a particular TF domain termed a basin of attraction. Here we discuss two new approaches to mode reconstruction. The first determines the ridge associated with a mode by considering the location where the direction of the reassignment vector sharply changes, the technique used to determine the basin of attraction being directly derived from that used for ridge extraction. A second uses the fact that the STFT of a signal is fully characterized by its zeros (and then the particular distribution of these zeros for Gaussian noise) to deduce an algorithm to compute the mode domains. For both techniques, mode reconstruction is then carried out by simply integrating the information inside these basins of attraction or domains.

Item Type:Article
Additional Information:© 2016 The Authors.Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre Interdisciplinaire de Recherche en Musique, Médias et Technologie - CITMMT (CANADA)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Normale Supérieure de Lyon - ENS de Lyon (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > School of Engineering and Physical Sciences - EPS-HWU (SCOTLAND)
Other partners > Université Joseph Fourier Grenoble 1 - UJF (FRANCE)
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Deposited On:22 Sep 2020 14:58

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