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2012 Wigner-Ville Distribution Associated with the Linear Canonical Transform
Rui-Feng Bai, Bing-Zhao Li, Qi-Yuan Cheng
J. Appl. Math. 2012: 1-14 (2012). DOI: 10.1155/2012/740161


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.


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Rui-Feng Bai. Bing-Zhao Li. Qi-Yuan Cheng. "Wigner-Ville Distribution Associated with the Linear Canonical Transform." J. Appl. Math. 2012 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1251.94012
MathSciNet: MR2948116
Digital Object Identifier: 10.1155/2012/740161

Rights: Copyright © 2012 Hindawi


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