Journal of Applied Mathematics

Wigner-Ville Distribution Associated with the Linear Canonical Transform

Rui-Feng Bai, Bing-Zhao Li, and Qi-Yuan Cheng

Full-text: Open access

Abstract

The linear canonical transform is shown to be one of the most powerful tools for nonstationary signal processing. Based on the properties of the linear canonical transform and the classical Wigner-Ville transform, this paper investigates the Wigner-Ville distribution in the linear canonical transform domain. Firstly, unlike the classical Wigner-Ville transform, a new definition of Wigner-Ville distribution associated with the linear canonical transform is given. Then, the main properties of the newly defined Wigner-Ville transform are investigated in detail. Finally, the applications of the newly defined Wigner-Ville transform in the linear-frequency-modulated signal detection are proposed, and the simulation results are also given to verify the derived theory.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 740161, 14 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495190

Digital Object Identifier
doi:10.1155/2012/740161

Mathematical Reviews number (MathSciNet)
MR2948116

Zentralblatt MATH identifier
1251.94012

Citation

Bai, Rui-Feng; Li, Bing-Zhao; Cheng, Qi-Yuan. Wigner-Ville Distribution Associated with the Linear Canonical Transform. J. Appl. Math. 2012 (2012), Article ID 740161, 14 pages. doi:10.1155/2012/740161. https://projecteuclid.org/euclid.jam/1355495190


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