The Synchrosqueezing Algorithm for Time-Varying Spectral Analysis: Robustness Properties and New Paleoclimate Applications
July 2012
Gaurav Thakur, The MITRE Corporation
Eugene Brevdo
Neven S. Fučkar
Hau-Tieng Wu
ABSTRACT
We analyze the stability properties of the Synchrosqueezing transform, a time-frequency signal analysis method
that can identify and extract oscillatory components with time-varying frequency and amplitude. We show that
Synchrosqueezing is robust to bounded perturbations of the signal and to Gaussian white noise. These results justify
its applicability to noisy or nonuniformly sampled data that is ubiquitous in engineering and the natural sciences. We
also describe a practical implementation of Synchrosqueezing and provide guidance on tuning its main parameters.
As a case study in the geosciences, we examine characteristics of a key paleoclimate change in the last 2.5 million
years, where Synchrosqueezing provides significantly improved insights.
Additional Search Keywords
synchrosqueezing algorithm, time-frequency signal analysis, spectrum management, Radio Frequency, RF
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