Analysis of Signals with Fast-Varying Instantaneous Frequency: Window Selection and Insights from Synchrosqueezing Transform
作者： Liang-Yan Hsu , Yae-lin Sheu , Hau-tieng Wu
DOI:
关键词: Attosecond 、 Measure (mathematics) 、 Algorithm 、 Representation (mathematics) 、 Instantaneous phase 、 Theoretical computer science 、 Signal 、 Mathematics 、 Moment (mathematics) 、 Rényi entropy 、 Coupling
摘要: We develop a theory for analyzing signal that consists of multiple oscillatory components with fast-varying instantaneous frequencies. In order to describe this kind signals, the adaptive harmonic model is extended include frequency components. Moreover, we apply Renyi entropy measure time-frequency representation provided by synchrosqueezing transform and determine an optimal window width. For components, which induce coupling artifacts, propose approach segmenting into several sections. Examples presented synthetic application attosecond physics considering atomic time-varying dipole moment driven two-color midinfrared laser fields.
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