Constructions of epsilon-mono-components and mathematical analysis on signal decomposition algorithm
Constructions of epsilon-mono-components and mathematical analysis on signal decomposition algorithm
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epsilon单分量的构造及信号分解算法的数学分析
DOI：
10.1016/j.amc.2016.08.036
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发表时间：
2017
影响因子：
4
通讯作者：
Lihua Yang
中科院分区：
文献类型：
--
作者：
Chao Huang;Lihui Tan;Qian Zhang;Lihua Yang
单分量的概念广泛应用于非平稳信号处理和时频分析中。在我们最近的出版物中，提出了一类特殊的单组分，称为单组分。结果表明，只要参数λ足够小，该模型就能很好地符合人类对物理单组分的直觉。因此，构造所需的非平稳信号分量，并设计自适应分解和表示非平稳信号的算法是非常有意义的。本文研究了双单分量的构造，并对基于双单分量的自适应信号分解算法进行了数学分析。
The concept of mono-component is widely used in non-stationary signal processing and time-frequency analysis. A special class of mono-components, called ϵ-mono-components, were proposed in our recent publication. It was illustrated that this model coincides with the intuition of human beings on the physical mono-components very well provided that the parameter ϵ is sufficiently small. It is then very meaningful to construct desired ϵ-mono-components and design algorithms to decompose and represent non-stationary signals adaptively. This paper studies the constructions of ϵ-mono-components and makes mathematical analysis on an adaptive signal decomposition algorithm based on ϵ-mono-components.