Entropy-based time-varying window width selection for nonlinear-type time–frequency analysis

Yae Lin Sheu, Liang Yan Hsu, Pi Tai Chou, Hau Tieng Wu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)231-245
Number of pages15
JournalInternational Journal of Data Science and Analytics
Issue number4
StatePublished - Jun 1 2017


  • Adaptive optimal window width
  • Attosecond physics
  • Nonlinear-type time–frequency analysis
  • Time-varying optimal window width

ASJC Scopus subject areas

  • Information Systems
  • Modeling and Simulation
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics


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