On Demodulation, Ridge Detection and Synchrosqueezing for Multicomponent Signals

Sylvain Meignen (1) , Duong-Hung Pham (1, 2) , Steve Mclaughlin (3)

1 CVGI - Calcul des Variations, Géométrie, Image
2 IRIT-MINDS - CoMputational imagINg anD viSion
3 HWU - Heriot-Watt University [Edinburgh]

In this paper, we present a novel technique for the retrieval of the modes of a multicomponent signal using a time-frequency (TF) representation of the signal. Our approach is based on a novel ridge extraction method that takes into account the fact that the TF representation is both discrete in time and frequency, followed by a demodulation procedure. Numerical results show the benefits of the proposed approach for mode reconstruction in comparison to similar techniques that do not make use of demodulation. Furthermore, numerical investigations show that the proposed approach sharpens the TF representation on which it is built.

Mots clés: synchrosqueezing; time-frequency; multicomponent signals; AM/FM demodulation; reassignment

Domaines: Traitement du signal et de l'image [eess.SP]; Mathématiques [math]; Electronique

Sylvain Meignen, Duong-Hung Pham, Steve Mclaughlin. On Demodulation, Ridge Detection and Synchrosqueezing for Multicomponent Signals. IEEE Transactions on Signal Processing, 2017, 65 (8), pp.2093-2103. ⟨10.1109/TSP.2017.2656838⟩. ⟨hal-01586414⟩