Independent Component Analysis in Chaotic Signal Analysis

WANG Ze; ZHU Yi-sheng; LI Yin

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Independent Component Analysis in Chaotic Signal Analysis

更新时间：2025-07-16

- Independent Component Analysis in Chaotic Signal Analysis
- Acta Electronica Sinica Vol. 30, Issue 10, Pages: 1505-1507(2002)
- 作者机构：
  
  上海交通大学生物医学工程系,上海,200030
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：2002
- 稿件说明：
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WANG Ze, ZHU Yi-sheng, LI Yin. Independent Component Analysis in Chaotic Signal Analysis[J]. Acta Electronica Sinica, 2002, 30(10): 1505-1507.
DOI：

WANG Ze, ZHU Yi-sheng, LI Yin. Independent Component Analysis in Chaotic Signal Analysis[J]. Acta Electronica Sinica, 2002, 30(10): 1505-1507. DOI：

摘要

本文从高阶统计信息角度来研究混沌信号

利用独立分量分析(Independent Component Analysis以下简称ICA)来探求混沌信号的特征结构.集中讨论了两个问题.一是基于ICA及相关的近似熵提出了一种新的方法来解决相空间重构中最佳延迟的选择问题;二是利用ICA来实现局部本征维数(LID)求取算法

从而对混沌吸引子的维数进行估计.实验结果表明该方法能正确分别混沌信号与非混沌信号

尤其是能正确判别1/

随机过程不是混沌过程.

Abstract

We try to explore the higher order statistics information of chaotic system in this paper

and introduce a new blind signal separation method

independent component analysis

into chaotic signal processing.Firstly

we proposed a new method to search the optimum delay of phase space reconstruction

then we estimated the local intrinsic dimension from independent component analysis.The corresponding experiments showed good results

more interestingly

the latter method can distinguish between a 1/

process and a chaotic system.

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Related Institution

哈尔滨工业大学电信学院

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School of Information EngineeringZhengzhou University.ZhengzhouHenan 450052China

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