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Wigner-Ville Distribution Associated with the Linear Canonical Transform.

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Title: Wigner-Ville Distribution Associated with the Linear Canonical Transform.
Authors: Bai, Rui-Feng1, Li, Bing-Zhao1 li_bingzhao@bit.edu.cn, Cheng, Qi-Yuan1
Source: Journal of Applied Mathematics. 2012, p1-14. 14p.
Subjects: Wigner distribution, Contact transformations, Signal detection, Frequency modulation detectors, Signal processing, Computer simulation
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Wigner-Ville Distribution Associated with the Linear Canonical Transform.
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  Data: <searchLink fieldCode="AR" term="%22Bai%2C+Rui-Feng%22">Bai, Rui-Feng</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Li%2C+Bing-Zhao%22">Li, Bing-Zhao</searchLink><relatesTo>1</relatesTo><i> li_bingzhao@bit.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Cheng%2C+Qi-Yuan%22">Cheng, Qi-Yuan</searchLink><relatesTo>1</relatesTo>
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  Label: Abstract
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1155/2012/740161
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        Text: English
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        PageCount: 14
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        Type: general
      – SubjectFull: Contact transformations
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      – SubjectFull: Signal detection
        Type: general
      – SubjectFull: Frequency modulation detectors
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      – SubjectFull: Signal processing
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      – SubjectFull: Computer simulation
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      – TitleFull: Wigner-Ville Distribution Associated with the Linear Canonical Transform.
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              Text: 2012
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