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

Abstract

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.