title: Adaptive multimode signal reconstruction from time-frequency representations.
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.
authors.affiliation: Laboratoire Jean Kuntzmann (UMR CNRS 5224), Université Joseph Fourier, 51 rue des Mathématiques, Campus de Saint Martin d'Hères, BP 53, 38041 Grenoble Cedex 09, France.
authors.forename: Sylvain
authors.initials: S
authors.lastname: Meignen
authors.affiliation: IRIT and INP-ENSEEIHT (UMR CNRS 5505), Université de Toulouse, 2 rue Charles Camichel, BP 7122, 31071 Toulouse Cedex 07, France.
authors.forename: Thomas
authors.initials: T
authors.lastname: Oberlin
authors.affiliation: Centre for Interdisciplinary Research in Music Media and Technology (CIRMMT), McGill University, 527 Sherbrooke Street West, Montreal, Quebec, Canada H3A 1E3.
authors.forename: Philippe
authors.initials: P
authors.lastname: Depalle
authors.affiliation: Laboratoire de Physique (UMR CNRS 5672), ENS de Lyon, Université de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France.
authors.forename: Patrick
authors.initials: P
authors.lastname: Flandrin
authors.affiliation: School of Engineering and Physical Sciences, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, UK s.mclaughlin@hw.ac.uk.
authors.forename: Stephen
authors.identifier: http://orcid.org/0000-0002-9558-8294
authors.initials: S
authors.lastname: McLaughlin
keywords: AM–FM signals; multimode signal reconstruction; reassignment; time–frequency