Parameters definition for the windowed and smooth windowed Wigner-Ville distribution of time-varying signals

Abstract

The windowed Wigner-Ville distribution (WWVD) and smooth windowed Wigner-Ville distribution (SWWVD) are used to analyze time-varying signals. Two classes of signals used are the dual-component linear FM and frequency shift-keying (FSK) signals. The time-lag characteristics of the bilinear product of both signals are analyzed and used to setup the parameters of the WWVD and SWWVD. In general, a more accurate time-frequency representation is obtained using the SWWVD compared to the WWVD. The accuracy of the resulting time-frequency representation is quantified based on the mainlobe width (MLW) and signal-to-interference (SNI) ratio.