On the use of short-time Fourier transform and synchrosqueezing-based demodulation for the retrieval of the modes of multicomponent signals

Sylvain Meignen (1) , Duong-Hung Pham (2) , Marcelo Colominas (3)

1 CVGI - Calcul des Variations, Géométrie, Image
2 IRIT-MINDS - CoMputational imagINg anD viSion
3 CONICET - Consejo Nacional de Investigaciones Científicas y Técnicas [Buenos Aires]

In this paper, our goal is to compare different recent time-frequency (TF) approaches to retrieve the modes of multicomponent signals (MCSs). While it is acknowledged that the synchrosqueezing transform (SST) improves the readability of the time-frequency representation (TFR) of the modes of MCSs, and that SST-based demodulation (DSST) is more efficient than SST itself for mode retrieval (MR), it is unclear whether DSST outperforms downsampled short-time Fourier transform (STFT) in that matter. The goal of the present paper is to answer this question and to propose a variant of DSST that reduces mode-mixing. The focus is put on the sensitivity of the different techniques to frequency modulation for the modes and frequency resolution.

Mots clés: Time-frequency analysis; Downsampled short-time Fourier transform; AM/FM multicomponent signals; Mode retrieval; Synchrosqueezing; Synchrosqueezing-based demodulation

Domaines: Intelligence artificielle [cs.AI]; Traitement du signal et de l'image [eess.SP]; Imagerie médicale; Analyse fonctionnelle [math.FA]

Sylvain Meignen, Duong-Hung Pham, Marcelo Colominas. On the use of short-time Fourier transform and synchrosqueezing-based demodulation for the retrieval of the modes of multicomponent signals. Signal Processing, 2021, 178, pp.107760. ⟨10.1016/j.sigpro.2020.107760⟩. ⟨hal-03102884⟩