维格纳-维尔三谱:定义与应用

B. Boashash, Branko Ristich
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引用次数: 10

摘要

Wigner-Ville三谱(WVT)是基于多项式Wigner-Ville分布的一类时变高阶谱。结果表明,对于受乘性噪声影响的调频信号,WVT是一种非常有效的时频分析方法,优于Wigner-Ville谱(WVS),因此优于任何其他基于Cohen类双线性时频谱的方法。作者进一步考虑了基于WVT峰值提取的瞬时频率估计。他们还开发了这种估计器的统计性质,用于受乘性和加性高斯噪声影响的信号。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Wigner-Ville trispectrum: definition and application
The Wigner-Ville trispectrum (WVT) is defined as a member of a class of time-varying higher-order spectra based on the polynomial Wigner-Ville distributions. It is shown that the WVT is a very efficient time-frequency analysis method for the analysis of FM signals affected by multiplicative noise, and outperforms the Wigner-Ville spectrum (WVS), and therefore any other method based on Cohen's class of bilinear time-frequency spectra. The authors further consider the instantaneous frequency estimator based on the peak extraction of the WVT. They also develop the statistical properties of such an estimator, for signals affected by both multiplicative and additive Gaussian noise.<>
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