Elimination of cross-components of the discrete Wigner-Ville distribution via a correlation method

Abstract

This paper presents a method to remove cross-components produced by the discrete Wigner-Ville distribution (WVD). The procedure consists of considering the WVD as an image and assigning each pixel to either an auto-component or a cross-component according to a correlation coefficient. This coefficient measures the correlation between the time-frequency representations of the local signal content and of a chirp Gaussian signal. While the auto-components yield large coefficient values, the cross-components yield small values due to their oscillating structure. The representation is obtained from the WVD by keeping pixels whose value is positive and the correlation coefficient larger than a threshold. It has the advantage of being positive, characterized by a high concentration and no distortion of the auto-components. This method provides good performance with a large class of signals.