Oberlin, Thomas and Meignen, Sylvain
The second-order wavelet synchrosqueezing transform.
(2017)
In: 42nd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2017), 5 March 2017 - 9 March 2017 (New Orleans, United States).
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 513kB |
Official URL: http://doi.org/10.1109/ICASSP.2017.7952906
Abstract
The paper deals with the problem of representing non-stationary signals jointly in time and frequency. We use the framework of reassignment methods, that achieve sharp and compact representations. More precisely, we introduce an enhanced version of the synchrosqueezed wavelet transform, which is shown to be more general than the standard synchrosqueezing, while remaining invertible. Numerical experiments measure the improvement brought about by using our new technique on synthetic data, while an analysis of the gravitational wave signal recently observed through the LIGO interferometer applies the method on a real dataset.
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