Wigner-Ville Distribution Associated with the Linear Canonical Transform
Wigner-Ville Distribution Associated with the Linear Canonical Transform
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DOI：
10.1155/2012/740161
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发表时间：
2012-07
期刊：
影响因子：
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通讯作者：
Ruijie Bai;Bingzhao Li;Qi-Yuan Cheng
中科院分区：
文献类型：
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作者：
Ruijie Bai;Bingzhao Li;Qi-Yuan Cheng
线性正则变换被证明是非平稳信号处理的最有力的工具之一。基于线性正则变换和经典Wigner-Ville变换的性质，研究了线性正则变换域上的Wigner-Ville分布。首先，不同于经典的Wigner-Ville变换，给出了与线性正则变换相关联的Wigner-Ville分布的一个新定义。然后，详细研究了新定义的Wigner-Ville变换的主要性质。最后，给出了新定义的Wigner-Ville变换在线性调频信号检测中的应用，并给出了仿真结果，验证了理论推导的正确性。
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.