Entropy-based Time-Varying Window Width Selection for Nonlinear type Time-Frequency Analysis
Data Analysis, Statistics and Probability
2021-06-21 v3 Numerical Analysis
Applications
Abstract
We propose a time-varying optimal window width (TVOWW) selection scheme to optimize the performance of several nonlinear-type time-frequency analyses, including the reassignment method, and the synchrosqueezing transform (SST) and its variations. A window rendering the most concentrated distribution in the time-frequency representation (TFR) is regarded as the optimal window. The TVOWW selection scheme is particularly useful for signals that comprise fast-varying instantaneous frequencies and small spectral gaps. To demonstrate the efficacy of the method, in addition to analyzing a synthetic signal, we study an atomic time-varying dipole moment driven by two-color mid-infrared laser fields in attosecond physics.
Cite
@article{arxiv.1512.04811,
title = {Entropy-based Time-Varying Window Width Selection for Nonlinear type Time-Frequency Analysis},
author = {Yae-lin Sheu and Liang-Yan Hsu and Pi-Tai Chou and Hau-tieng Wu},
journal= {arXiv preprint arXiv:1512.04811},
year = {2021}
}