The synchrosqueezing transform for instantaneous spectral analysis. (English) Zbl 1381.94042
Balan, Radu (ed.) et al., Excursions in harmonic analysis, Volume 4. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002–2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-20187-0/hbk; 978-3-319-20188-7/ebook). Applied and Numerical Harmonic Analysis, 397-406 (2015).
Summary: 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.
For the entire collection see [Zbl 1357.42001].
For the entire collection see [Zbl 1357.42001].
MSC:
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
synchrosqueezing; time-frequency reassignment; instantaneous frequency; sparse signal representationReferences:
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