Smoothed pseudo-Wigner distribution, Choi-Williams distribution, and cone-kernel representation: Ambiguity-domain analysis and experimental comparison

Abstract The smoothed pseudo-Wigner distribution, the Choi-Williams distribution, and the cone-kernel representation are three time-frequency representations (TFRs) which feature an attenuation of cross (interference) terms as compared with the Wigner distribution. In this paper, we use an analysis of ambiguity-domain weighting functions for comparing the interference attenuation and time-frequency concentration properties of the three TFRs. These properties are then further investigated by studying the results obtained for a set of simple two-component signals. This analysis shows important effects and performance limitations whose understanding is essential for a practical application of the TFRs.

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