Wigner-Ville distribution decomposition via wavelet packet transform

Abstract

A new time-frequency distribution is proposed in this paper. It is based on a combination of the Wigner-Ville distribution (WVD) decomposition and the wavelet packet transform. First, the input signal is optimally decomposed into frequency bands by a best basis selection. Then, each subsignal within a frequency band is represented by the WVD decomposition. Finally, the proposed decomposition is obtained by incorporating with these WVD representations. The proposed distribution keeps the high resolution of WVD, while inducing low interferences which are decoupled by the involved wavelet packet transform.