English

Second-order Time-Reassigned Synchrosqueezing Transform: Application to Draupner Wave Analysis

Signal Processing 2019-07-23 v1 Numerical Analysis Numerical Analysis

Abstract

This paper addresses the problem of efficiently jointly representing a non-stationary multicomponent signal in time and frequency. We introduce a novel enhancement of the time-reassigned synchrosqueezing method designed to compute sharpened and reversible representations of impulsive or strongly modulated signals. After establishing theoretical relations of the new proposed method with our previous results, we illustrate in numerical experiments the improvement brought by our proposal when applied on both synthetic and real-world signals. Our experiments deal with an analysis of the Draupner wave record for which we provide pioneered time-frequency analysis results.

Keywords

Cite

@article{arxiv.1907.09125,
  title  = {Second-order Time-Reassigned Synchrosqueezing Transform: Application to Draupner Wave Analysis},
  author = {Dominique Fourer and François Auger},
  journal= {arXiv preprint arXiv:1907.09125},
  year   = {2019}
}

Comments

Proc. EUSIPCO 2019. Matlab code available on IEEE Code Ocean: https://codeocean.com/capsule/2190725/

R2 v1 2026-06-23T10:26:44.578Z