TY - GEN
T1 - A Novel kind of WVD Associated with the Linear Canonical Transform
AU - Peng, Jia Yin
AU - Chen, Jian Yi
AU - Li, Bing Zhao
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85218193513&partnerID=8YFLogxK
U2 - 10.1109/APSIPAASC63619.2025.10848652
DO - 10.1109/APSIPAASC63619.2025.10848652
M3 - Conference contribution
AN - SCOPUS:85218193513
T3 - APSIPA ASC 2024 - Asia Pacific Signal and Information Processing Association Annual Summit and Conference 2024
BT - APSIPA ASC 2024 - Asia Pacific Signal and Information Processing Association Annual Summit and Conference 2024
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2024 Asia Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2024
Y2 - 3 December 2024 through 6 December 2024
ER -