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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范围的范围和其特征的精度激励了波形大和冗余词典的分解。此外,快速算法和合理的CPU和RAM要求使数字实现具有吸引力。在复杂的生物医学信号的情况下,基础是一种最小的向量,其不足以揭示嵌入信号中的范围的范围。在所提出的纸张中,考虑了分解,其中考虑了时间频率信息是关于变换域中的信号的一部分的一部分。讨论了离散时间信号的分解到给定的向量空间C / SUP M /的不同和相互相关的单一基座,并且概述了用于信号检测/分类应用的冗余分解的可能的快速计算。

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