A Novel kind of WVD Associated with the Linear Canonical Transform

Jia Yin Peng, Jian Yi Chen, Bing Zhao Li*

*Corresponding author for this work

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

Abstract

Linear canonical transformation (LCT), as an extension of the Fourier transform and fractional Fourier transform, has emerged as a useful tool for the nonstationary signals processing. In this paper, a novel kind of Wigner-Ville distribution associated with the LCT (WVL) is presented. First, in order to eliminate the coupling between time variable t and lag variable τ, the WVL is defined based on the scaled parametric symmetric instantaneous autocorrelation function. Second, the WVL of multicomponent linear frequency modulated (LFM) signal is investigated, and the results show that WVL can mitigate the influence of some cross-terms. Finally, through simulation experiments and comparison with the classical WVD, it is verified that WVL has a better ability to suppress cross-terms and significantly improves the detection of multicomponent LFM signals.

Original languageEnglish
Title of host publicationAPSIPA ASC 2024 - Asia Pacific Signal and Information Processing Association Annual Summit and Conference 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350367331
DOIs
Publication statusPublished - 2024
Event2024 Asia Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2024 - Macau, China
Duration: 3 Dec 20246 Dec 2024

Publication series

NameAPSIPA ASC 2024 - Asia Pacific Signal and Information Processing Association Annual Summit and Conference 2024

Conference

Conference2024 Asia Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2024
Country/TerritoryChina
CityMacau
Period3/12/246/12/24

Fingerprint

Dive into the research topics of 'A Novel kind of WVD Associated with the Linear Canonical Transform'. Together they form a unique fingerprint.

Cite this