Polynomial Wigner-Ville distributions and time-varying higher-order spectra

B. Boashash, Branko Ristich
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引用次数: 19

Abstract

The concept of reduced time-varying higher-order spectra based on polynomial Wigner-Ville distributions (PWVDs) is presented. Two members of a class of PWVDs are illustrated, each dedicated to a specific problem that cannot be optimally solved using Cohen's class of bilinear (second order) time-frequency distributions. Polynomial WVDs are shown to preserve or generalize many properties of the WVD. The case of multicomponent signals is addressed, and higher-order time-frequency distributions are defined.<>
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多项式Wigner-Ville分布与时变高阶谱
提出了基于多项式Wigner-Ville分布(PWVDs)的时变高阶谱降阶概念。说明了一类pwvd的两个成员,每个成员都致力于一个不能使用Cohen的双线性(二阶)时频分布类最优解决的特定问题。多项式WVD被证明可以保持或推广WVD的许多性质。讨论了多分量信号的情况,并定义了高阶时频分布。
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