The Short-Time Wigner-Ville Distribution Associated with Linear Canonical Transform

Jian Yi Chen, Bing Zhao Li*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationFifteenth International Conference on Signal Processing Systems, ICSPS 2023
EditorsZhenkai Zhang, Cheng Li
PublisherSPIE
ISBN (Electronic)9781510675056
DOIs
Publication statusPublished - 2024
Event15th International Conference on Signal Processing Systems, ICSPS 2023 - Xi'an, China
Duration: 17 Nov 202319 Nov 2023

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume13091
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference15th International Conference on Signal Processing Systems, ICSPS 2023
Country/TerritoryChina
CityXi'an
Period17/11/2319/11/23

Keywords

  • Heisenberg’s uncertainty principle
  • Wigner-Ville distribution
  • linear canonical transform

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