On cross-components in the Wigner distribution

M. Sun, R. Sclabassi, C.C. Li
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Abstract

The origin and geometrical characteristics of auto- and cross-components in the Wigner distribution (WD) are investigated utilizing a probe signal. Techniques for eliminating cross-components are reviewed and compared. These methods include local smoothing of the WD using Gaussian and other kinds of smoothing windows, adaptive variation of the smoothing window parameters according to the signal's structure, and the use of singular value decomposition. All the techniques discussed involve a tradeoff between the cross-components and the time-frequency resolution. Ways of avoiding this tradeoff are discussed
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关于维格纳分布中的交叉分量
利用探测信号研究了维格纳分布(WD)中自分量和交叉分量的起源和几何特征。对消除交叉成分的技术进行了回顾和比较。这些方法包括使用高斯和其他类型的平滑窗口对WD进行局部平滑,根据信号的结构自适应变化平滑窗口参数,以及使用奇异值分解。所有讨论的技术都涉及交叉分量和时频分辨率之间的权衡。讨论了避免这种权衡的方法
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