High-Order Synchrosqueezed Chirplet Transforms for Multicomponent Signal Analysis

TL;DR

This paper introduces a high-order synchrosqueezed chirplet transform that improves the analysis of multicomponent signals with crossover frequencies by reducing estimation errors in complex chirp-modulated signals.

Contribution

It proposes an enhanced high-order SCT that corrects estimation errors in traditional SCT for complex, high-modulation signals, supported by theoretical analysis and numerical validation.

Findings

Reduces wrong IF estimation in high chirp signals

Improves accuracy of multicomponent signal analysis

Validated with synthetic signal experiments

Abstract

This study focuses on the analysis of signals containing multiple components with crossover instantaneous frequencies (IF). This problem was initially solved with the chirplet transform (CT). Also, it can be sharpened by adding the synchrosqueezing step, which is called the synchrosqueezed chirplet transform (SCT). However, we found that the SCT goes wrong with the high chirp modulation signal due to the wrong estimation of the IF. In this paper, we present the improvement of the post-transformation of the CT. The main goal of this paper is to amend the estimation introduced in the SCT and carry out the high-order synchrosqueezed chirplet transform. The proposed method reduces the wrong estimation when facing a stronger variety of chirp-modulated multi-component signals. The theoretical analysis of the new reassignment ingredient is provided. Numerical experiments on some synthetic signals are presented to verify the effectiveness of the proposed high-order SCT.