One or two frequencies? The synchrosqueezing answers. (English) Zbl 1234.94018

Summary: The synchrosqueezed transform was proposed recently in [I. Daubechies, J. Lu and H.-T. Wu, “Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool”, Appl. Comput. Harmon. Anal. 30, No. 2, 243–261 (2011; Zbl 1213.42133)] as an alternative to the empirical mode decomposition (EMD), 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 [G. Rilling and P. Flandrin, “One or two frequencies? The empirical mode decomposition answers”, IEEE Trans. Signal Process. 56, No. 1, 85–95 (2008)] for EMD of how two signals with close frequencies are recognized and represented as such.


94A12 Signal theory (characterization, reconstruction, filtering, etc.)
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
65T60 Numerical methods for wavelets


Zbl 1213.42133
Full Text: DOI


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