Theoretical analysis of the second-order synchrosqueezing transform
By Ratikanta Behera, Sylvain Meignen, Thomas Oberlin. Applied and Computational Harmonic Analysis, 2016
190 citations recorded by the source corpus.
In this paper, we present a theoretical analysis of the synchrosqueezing transform adapted to multicomponent signals made of strongly frequency modulated modes, which was recently proposed in the short time Fourier transform framework [13]. Before dealing in detail with the theoretical aspect, we explain throughout numerical simulations why the hypotheses made on the modes making up the multicomponent signal must be different when one considers wavelet or STFT based synchrosqueezing. After having recalled the main results regarding the original synchrosqueezing transform applied to multicomponent signals made of modes with weak frequency modulation, we prove the same kind of results for the novel synchrosqueezing transform adapted to strongly frequency modulated modes defined in [13].
Subfields: Computer Vision and Pattern Recognition, Control and Systems Engineering, Signal Processing
View Paper: https://www.semanticscholar.org/paper/e50f95f30477ee431f70d69b6ec855614edefe2d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Vision and Pattern Recognition
In Control and Systems Engineering
In Signal Processing
Citations in the corpus
- Multisynchrosqueezing Transform (2019, unknown): “[7-9, 14-19], they suggest to take the real part of (26) as the IF estimate, and then the (26) should be rewritten as 2”
- High-Order Synchrosqueezing Transform for Multicomponent Signals Analysis—With an Application to Gravitational-Wave Signal (2017, methodology): “Note that the theoretical foundation to support FSST2 has just been proposed in [15].”