ELIMINATION OF CROSS-COMPONENTS OF THE DISCRETE WIGNER-VILLE DISTRIBUTION VIA A CORRELATION METHOD

摘要

This paper presents a method to remove cross-components produced by the discrete Wigner-Ville distribution (WVD). The procedure consists in 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 auto-components yield large coefficient values, 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 correlation coefficient larger than a threshold. It has the advantage of being positive, characterized by high concentration and no distortion of auto-components. This method provides good performances with a large class of signals.