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Sheu Y-lin, Hsu L-Y, Chou P-T, Wu H-tieng*. "Entropy-based time-varying window width selection for nonlinear-type time-frequency analysis." Int. J. Data Sci. Anal. (JDSA). 2017;3:231-245. AbstractWebsite

We propose a time-varying optimal window width (TVOWW) and an adaptive optimal window width selection schemes to optimize the performance of several nonlinear-type time-frequency analyses, including the reassignment method and its variations. A window rendering the most concentrated distribution in the time-frequency representation 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 synthetic signals, we study an atomic time-varying dipole moment driven by two-color mid-infrared laser fields in attosecond physics and near-threshold harmonics of a hydrogen atom in the strong laser field.