Time-frequency characteristics of PSWF with Wigner-Ville Distributions

Abstract

The existing study and application of Prolate Spheroidal Wave Function (PSWF) primarily around the characteristics of PSWF in a single energy domain, the characteristics of PSWF in two-dimensional time-frequency energy domain have not been mining and using, from the perspective of signal time-frequency distribution, Wigner-Ville Distribution with higher time-frequency resolution was introduced to study the time-frequency characteristics of PSWF. The simulation results shows that the PSWF with different parameters with different time-frequency distribution characteristics; at the same time, through the comparison those different of time-frequency distribution, a deeper understanding of the characteristics of PSWF was known, which could further improve the foundation PSWF properties, look for efficient information loading and testing way, and significantly improve the application value of PSWF.