Time-frequency distribution series

Abstract

Using the orthogonal-like Gabor (1946) expansion, we decompose the Wigner-Ville (1932, 1948) distribution as a linear combination of localized and oscillated 2D Gaussian functions. Based on the degree of oscillation, we further group those 2D Gaussian functions into time-frequency functions P/sub d/(t,/spl omega/) and thereby obtain the so-called time-frequency distribution series (TFDS). The TFDS/sub D/ consists of up to Dth order P/sub d/(t,/spl omega/). Since the influence of P/sub d/(t,/spl omega/) on those useful properties is inversely proportional to d, by adjusting the order D of the TFDS one could easily balance the cross-term interference and the useful properties.<>