Wigner-Ville Distribution Associated with the Linear Canonical Transform

Wigner-Ville Distribution Associated with the Linear Canonical Transform

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 transfor...

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Main Authors: Rui-Feng Bai, Bing-Zhao Li, Qi-Yuan Cheng
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/740161
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spelling doaj-74c0dba2c9114af4ae935f22ad6ee2812020-11-24T22:29:49ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/740161740161Wigner-Ville Distribution Associated with the Linear Canonical TransformRui-Feng Bai0Bing-Zhao Li1Qi-Yuan Cheng2School of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaThe 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.http://dx.doi.org/10.1155/2012/740161
collection DOAJ
language English
format Article
sources DOAJ
author Rui-Feng Bai
Bing-Zhao Li
Qi-Yuan Cheng
spellingShingle Rui-Feng Bai
Bing-Zhao Li
Qi-Yuan Cheng
Wigner-Ville Distribution Associated with the Linear Canonical Transform
Journal of Applied Mathematics
author_facet Rui-Feng Bai
Bing-Zhao Li
Qi-Yuan Cheng
author_sort Rui-Feng Bai
title Wigner-Ville Distribution Associated with the Linear Canonical Transform
title_short Wigner-Ville Distribution Associated with the Linear Canonical Transform
title_full Wigner-Ville Distribution Associated with the Linear Canonical Transform
title_fullStr Wigner-Ville Distribution Associated with the Linear Canonical Transform
title_full_unstemmed Wigner-Ville Distribution Associated with the Linear Canonical Transform
title_sort wigner-ville distribution associated with the linear canonical transform
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/740161
work_keys_str_mv AT ruifengbai wignervilledistributionassociatedwiththelinearcanonicaltransform
AT bingzhaoli wignervilledistributionassociatedwiththelinearcanonicaltransform
AT qiyuancheng wignervilledistributionassociatedwiththelinearcanonicaltransform
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