Retrieval of the Modes of Multicomponent Signals from Downsampled Short-Time Fourier Transform
Résumé
In this paper, we investigate the retrieval of the modes of multicomponent signals from their downsampled
short-time Fourier transform. To this end, we first recall signal reconstruction techniques based
on shifted downsampled short-time Fourier transform, and then explain how to adapt these to the context
of the retrieval of the modes of a multicomponent signal. We then show, on simulated and real data,
that downsampling the short-time Fourier transform does not result in a significant performance loss
of the mode retrieval procedures. Finally, comparisons with recent mode retrieval techniques based on
synchrosqueezing transform are carried out, the focus being put on the amount of information needed to
perform the recovery of the modes.
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