Research on Time-frequency Energy Distribution Characteristics of PSWFs Signals Based on WVD

The Prolate Spheroidal Wave Functions signal is a kind of non-sinusoidal signal waveform with great application potential, and its basic characteristics, especially the time-frequency energy distribution characteristics, are the premise of time-frequency detection. With the help of WVD, this paper first analyzes the time-frequency energy density distribution of PSWFs signals, and then analyzes the time-frequency energy concentration degree of PSWFs signals according to the time and frequency edge properties of WVD. Relevant conclusions complete the research work on the time-frequency characteristics of PSWFs signals, and can provide good theoretical support for applications such as time-frequency detection of PSWFs signals.