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The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications

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Thakur, Gaurav, Brevdo, Eugene, Fučkar, Neven S., Wu, Hau-Tieng·2013·Signal Processing

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. Highlights? We study the stability of the Synchrosqueezing transform for spectral analysis. ? Synchrosqueezing is shown to be robust to bounded errors and Gaussian white noise. ? We describe a numerical implementation and compare it with other techniques. ? We apply Synchrosqueezing to proxies describing the evolution of the global climate.

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Metadata

Authors
Thakur, G., Brevdo, E., Fučkar, N. S., & Wu, H.-T.
Venue
Signal Processing
Publisher
Elsevier BV
Published
2013-05
Volume
93
Issue
5
Pages
1079-1094
ISSN
0165-1684 (ISSN-L)
OpenAlex
W2081986197
Cited by
526
References
36
FWCI
38.10
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications. https://app.cochat.ai/papers/10.1016/j.sigpro.2012.11.029
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Thakur, G., Brevdo, E., Fučkar, N. S., & Wu, H.-T. (2013). The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications. Signal Processing. https://doi.org/10.1016/j.sigpro.2012.11.029

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