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Synchrosqueezing transforms: From low- to high-frequency modulations and perspectives

Meignen, Sylvain and Oberlin, Thomas and Pham, Duong-Hung Synchrosqueezing transforms: From low- to high-frequency modulations and perspectives. (2019) Comptes Rendus Physique, 20 (5). 449-460. ISSN 1631-0705

(Document in English)

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Official URL: https://doi.org/10.1016/j.crhy.2019.07.001


The general aim of this paper is to introduce the concept of synchrosqueezing transforms (SSTs) that was developed to sharpen linear time–frequency representations (TFRs), like the short-time Fourier or the continuous wavelet transforms, in such a way that the sharpened transforms remain invertible. This property is of paramount importance when one seeks to recover the modes of a multicomponent signal (MCS), corresponding to the superimposition of AM/FM modes, a model often used in many practical situations. After having recalled the basic principles of SST and explained why, when applied to an MCS, it works well only when the modes making up the signal are slightly modulated, we focus on how to circumvent this limitation. We then give illustrations in practical situations either associated with gravitational wave signals or modes with fast oscillating frequencies and discuss how SST can be used in conjunction with a demodulation operator, extending existing results in that matter. Finally, we list a series of different perspectives showing the interest of SST for the signal processing community.

Item Type:Article
Additional Information:This is an open access article under the CC BY-NC-ND license.
HAL Id:hal-02573644
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Nationale du Génie de l'Eau et de l'Environnement de Strasbourg - ENGEES (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
French research institutions > Institut National de la Santé et de la Recherche Médicale - INSERM (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
Other partners > Université de Strasbourg - UNISTRA (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 > Institut National des Sciences Appliquées - INSA (FRANCE)
Other partners > Université de Haute Alsace - UHA (FRANCE)
Laboratory name:
Deposited On:28 Jul 2020 13:55

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