Generalized Representation of Phase Derivatives for Regular Signals
Generalized Representation of Phase Derivatives for Regular Signals
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DOI：
10.1109/tsp.2007.896280
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发表时间：
2007-10
影响因子：
5.4
通讯作者：
Cédric Cornu;S. Stankovic;C. Ioana;A. Quinquis;L. Stanković
中科院分区：
文献类型：
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作者：
Cédric Cornu;S. Stankovic;C. Ioana;A. Quinquis;L. Stanković
本文介绍了一种新的广义复滞后矩，它产生联合时间-“相位导数”分布。对于时间-“一阶相位导数”的选择，其代表时间-频率表示，该分布可以被视为Wigner-Ville分布的形式。此外，这种推广导致分布与高度减少的内部干扰所造成的信号的相位的非线性。它也可以被看作是一个多项式分布，因为N阶分布对N阶多项式相位律不产生内部干扰。这些分布的实现是解决。最后用实例说明了结果。
This paper introduces a new generalized complex-lag moment which produces joint time-"phase derivatives" distributions. For the choice of the time-"first-order phase derivative," which stands for time-frequency representation, this distribution can be seen as a form of the Wigner-Ville distribution. Moreover, this generalization leads to distributions with highly reduced inner interferences caused by the nonlinearity of the signal's phase. It can also be seen as a polynomial distribution since the Nth-order distribution produces no inner interferences for polynomial phase law of order N. Implementation of these distributions is addressed. The results are illustrated by examples.