A method to minimise the cross-talk of the Wigner-Ville distribution

Abstract

There have been many applications of the Wigner-Ville distribution to various mechanical signatures. However, since most mechanical signatures have multiple components, the distribution is confused by cross-talk between these components. This paper addresses a way in which one might distinguish cross-talk and signals which contain useful information. This can be done by utilising the ambiguity function which describes the signal in terms of time delay and frequency delay. The true signal components tend to be located around the centre of the time delay and frequency delay axes and cross-talk components are away from the origin of the ambiguity function. Based on this observation, a two-dimensional 'rotating window' is proposed that can eliminate cross-talk. Theoretical derivations and numerical simulations are also included to illustrate this method. (C) 1997 Academic Press Limited.