Synchrosqueezing temporel d'ordre 2 de la transformée de Fourier à court terme

Abstract : This paper aims at efficiently representing non-stationary multicomponent signals jointly in time and frequency. To this end, we introduce a new method based on the time-reassigned synchrosqueezing which allows to compute reversible and sharpened representations of impulsive or strongly frequency-modulated signals. First, we propose an enhanced group-delay estimator for which we establish a theoretical link with a chirp rate estimator. Second, we illustrate with time- and frequency-discretized representations the improvement brought by our proposal when it is applied on synthetic signals.
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Dominique Fourer, François Auger. Synchrosqueezing temporel d'ordre 2 de la transformée de Fourier à court terme. XXVIIème Colloque francophone de Traitement du Signal et des Images (GRETSI 2019), Aug 2019, Lille, France. ⟨hal-02140301⟩

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