The short-time Wigner-Ville distribution associated with linear canonical transform

Jian-Yi Chen; Bing-Zhao Li

doi:10.1117/12.3023189

28 March 2024 The short-time Wigner-Ville distribution associated with linear canonical transform

Jian-Yi Chen, Bing-Zhao Li

Proceedings Volume 13091, Fifteenth International Conference on Signal Processing Systems (ICSPS 2023); 1309105 (2024) https://doi.org/10.1117/12.3023189
Event: Fifteenth International Conference on Signal Processing Systems (ICSPS 2023), 2023, Xi’an, China

Abstract

This article proposes the unified short-time Wigner-Ville distribution (USWD) and explores its various properties, which is a generalized integral transform suitable for time-varying signals with varying features. Recognizing the complexity involved in this transformation and aiming for practical applications, we focused our research on a specific case, denoted as SWDL. In this study, we derived the Heisenberg’s uncertainty principle for SWDL and presented its discrete form. Furthermore, we investigated the potential applications of SWDL in the analysis of stepped-frequency linear frequency modulation (SF-LFM) signals.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jian-Yi Chen and Bing-Zhao Li "The short-time Wigner-Ville distribution associated with linear canonical transform", Proc. SPIE 13091, Fifteenth International Conference on Signal Processing Systems (ICSPS 2023), 1309105 (28 March 2024); https://doi.org/10.1117/12.3023189

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