Signal analysis based on a redundant expansion of the signal

机译：基于信号冗余扩展的信号分析

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The wide scope of patterns embedded in biological signals and the precision of their characterization motivates decompositions over large and redundant dictionaries of waveforms. Moreover, fast algorithms and reasonable CPU and RAM requirements make digital implementations attractive. In the case of complex biomedical signals the basis is a minimal set of vectors that is not rich enough to reveal the wide scope of patterns embedded in the signal. In the presented paper a decomposition in which time-frequency information is part of the information about the signal in the transform domain is considered. A multiple decomposition of a discrete time signal into different and mutually related unitary bases of the given vector space C/sup M/ is discussed and a possible fast computation of the redundant decomposition for signal detection/classification applications is outlined.

机译：嵌入在生物信号中的图案范围广泛，其表征精度高，可促使分解大型且冗余的波形字典。此外，快速的算法以及合理的CPU和RAM要求使数字实现具有吸引力。对于复杂的生物医学信号，其基础是最小的向量集，其向量不足以揭示信号中嵌入的各种模式。在本文中，考虑了一种分解，其中时频信息是变换域中有关信号的信息的一部分。讨论了将离散时间信号多重分解为给定向量空间C / sup M /的互不相关的统一基数，并概述了可能用于信号检测/分类应用的冗余分解的快速计算方法。

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《》|1998年|P.1517-1519|共3页
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Zavarsky; P.; Kambayashi; N.;
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中图分类无线电电子学、电信技术;
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Signal analysis based on a redundant expansion of the signal

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