Demodulation Algorithm Based on Higher Order Synchrosqueezing

This paper addresses the problem of detecting and retrieving amplitude- and frequency-modulated (AM-FM) components or modes of a multicomponent signal from its time-frequency representation (TFR) corresponding to its short-time Fourier transform. For that purpose, we introduce a novel technique that combines a high order synchrosqueezing transform (FSSTN) with a demodulation procedure. Numerical results on a multicomponent signal, both in noise-free and noisy cases, show the benefits for mode reconstruction of the proposed approach over similar techniques that do not make use of demodulation.