ConceFT: Concentration of Frequency and Time via a multitapered synchrosqueezed transform

TL;DR

ConceFT is a novel method that enhances time-frequency analysis of complex signals with multiple oscillatory components by combining multitapering and synchrosqueezing techniques, supported by both experiments and theory.

Contribution

It introduces a new approach that improves the resolution and robustness of time-frequency representations for signals with varying amplitudes and frequencies.

Findings

Effective in resolving multiple oscillatory components

Improves time-frequency concentration and clarity

Supported by numerical experiments and theoretical analysis

Abstract

A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a theoretical analysis are presented to assess its effectiveness.