The second-order wavelet synchrosqueezing transform

Thomas Oberlin (1) , Sylvain Meignen (2)

1 IRIT-SC - Signal et Communications
2 CVGI - Calcul des Variations, Géométrie, Image

The paper deals with the problem of representing non-stationary signals jointly in time and frequency. We use the framework of reassignment methods, that achieve sharp and compact representations. More precisely, we introduce an enhanced version of the synchrosqueezed wavelet transform, which is shown to be more general than the standard synchrosqueezing, while remaining invertible. Numerical experiments measure the improvement brought about by using our new technique on synthetic data, while an analysis of the gravitational wave signal recently observed through the LIGO interferometer applies the method on a real dataset.

Mots clés: Chirp detection; AM/FM; Multicomponent signals; Time-frequency; Continuous wavelet transform; Synchrosqueezing; Gravitational waves

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]

Thomas Oberlin, Sylvain Meignen. The second-order wavelet synchrosqueezing transform. 42nd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2017), Mar 2017, New Orleans, United States. pp.3994-3998, ⟨10.1109/ICASSP.2017.7952906⟩. ⟨hal-01913971⟩