One or two frequencies? the synchrosqueezing answers

Hau Tieng Wu; Patrick Flandrin; Ingrid Daubechies

doi:10.1142/S179353691100074X

One or two frequencies? the synchrosqueezing answers

Hau Tieng Wu, Patrick Flandrin, Ingrid Daubechies

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of "modes" that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two signals with close frequencies are recognized and represented as such.

Original language	English (US)
Pages (from-to)	29-39
Number of pages	11
Journal	Advances in Adaptive Data Analysis
Volume	3
Issue number	1-2
DOIs	https://doi.org/10.1142/S179353691100074X
State	Published - Apr 2011

Keywords

EMD
beating
synchrosqueezing
time-frequency analysis

ASJC Scopus subject areas

Information Systems
Computer Science Applications

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10.1142/S179353691100074X

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title = "One or two frequencies? the synchrosqueezing answers",

abstract = "The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of {"}modes{"} that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two signals with close frequencies are recognized and represented as such.",

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author = "Wu, {Hau Tieng} and Patrick Flandrin and Ingrid Daubechies",

note = "Funding Information: Two of the authors (H.W. and I.D.) gratefully acknowledge support by the FHWA grant DTFH61-08-C-00028.",

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AU - Flandrin, Patrick

AU - Daubechies, Ingrid

N1 - Funding Information: Two of the authors (H.W. and I.D.) gratefully acknowledge support by the FHWA grant DTFH61-08-C-00028.

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N2 - The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of "modes" that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two signals with close frequencies are recognized and represented as such.

AB - The synchrosqueezed transform was proposed recently in [Daubechies et al. (2009)] as an alternative to the empirical mode decomposition (EMD) [Huang et al. (1998)], to decompose composite signals into a sum of "modes" that each have well-defined instantaneous frequencies. This paper presents, for synchrosqueezing, a study similar to that in [Rilling and Flandrin (2008)] for EMD, of how two signals with close frequencies are recognized and represented as such.

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KW - synchrosqueezing

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One or two frequencies? the synchrosqueezing answers

Abstract

Keywords

ASJC Scopus subject areas

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