The Synchrosqueezing transform for instantaneous spectral analysis
Gaurav Thakur
TL;DR
The Synchrosqueezing transform is a powerful time-frequency analysis technique that decomposes complex signals into their oscillatory components, with applications across various scientific fields.
Contribution
This paper provides a comprehensive overview of the theory, stability, and diverse applications of the Synchrosqueezing transform for spectral analysis.
Findings
Demonstrates the stability of Synchrosqueezing under noise
Shows effectiveness in cardiology, climate science, and economics
Provides theoretical foundations for the method
Abstract
The Synchrosqueezing transform is a time-frequency analysis method that can decompose complex signals into time-varying oscillatory components. It is a form of time-frequency reassignment that is both sparse and invertible, allowing for the recovery of the signal. This article presents an overview of the theory and stability properties of Synchrosqueezing, as well as applications of the technique to topics in cardiology, climate science and economics.
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Taxonomy
TopicsImage and Signal Denoising Methods · Machine Fault Diagnosis Techniques · Fault Detection and Control Systems