4 papers
Disentangling Modes and Interference in the Spectrogram of Multicomponent Signals
Kévin Polisano, Sylvain Meignen, Nils Laurent +1
In this paper, we investigate how the spectrogram of multicomponent signals can be decomposed into a mode part and an interference part. We explore two approaches: (i) a variationa…
Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds
Florent Bouchard, Nils Laurent, Salem Said +1
In this paper, the issue of averaging data on a manifold is addressed. While the Fréchet mean resulting from Riemannian geometry appears ideal, it is unfortunately not always avail…
Unsupervised classification of the spectrogram zeros
Juan M. Miramont, François Auger, Marcelo A. Colominas +2
The zeros of the spectrogram have proven to be a relevant feature to describe the time-frequency structure of a signal, originated by the destructive interference between component…
A Novel Ridge Detector for Nonstationary Multicomponent Signals: Development and Application to Robust Mode Retrieval
Nils Laurent, Sylvain Meignen
Time-frequency analysis is often used to study non stationary multicomponent signals, which can be viewed as the surperimposition of modes, associated with ridges in the TF plane.…