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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.
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Dates and versions

hal-02308859 , version 1 (08-10-2019)

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Edith Grall-Maës, Pierre Beauseroy. Elimination of cross-components of the discrete Wigner-Ville distribution via a correlation method. Third International Conference on Signal Processing (ICSP'96), Oct 1996, Beijing, China. pp.335-338, ⟨10.1109/ICSIGP.1996.567262⟩. ⟨hal-02308859⟩
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