混沌信号相关维提取的一种改进方法
An Improved Method of Extracting the Correlation Dimension from a Chaotic Signal
-
摘要: 相关维是描述混沌信号的一个重要参数,论文对相关维提取算法进行了深入的研究,结合流行的GP算法给出了一种提取相关维的改进算法。该算法具有运算量小、精度高、尺度选择盲目性小等特点。
-
关键词:
- 混沌; 重构; 线性尺度区; 相关维
Abstract: The correlation dimension is an important parameter for describing a chaotic signal. The method of extracting the correlation dimension is deeply researched in this paper. Based on the GP method, an improved algorithm of extracting the correlation dimension is given. The algorithm has the character of little calculating amount, higher accuracy and smaller aimless ability of scaling selection. -
Grassberger P, Procaccia I. Characterization of stranger attractors [J].Phys. Rev. Lett.1983, 50(5):346-[2]杨绍清,等.一种实用的混沌信号相关维的提取算法.电子学报,2000,28(10):20-22.[3]Kantz H, Schreiber T. Nonlinear Time Series Analysis, England,Cambridge University Press, 1997:69 - 75.[4]吕金虎,陆君安,陈士华.混沌时间序列分析及其应用.武汉:武汉大学出版社,2002:57-71.[5]Takens F. Detecting strange attractors in fluid turbulence[A].in:Dynamical Systems and Turbulence [C].eds. D. A. Rand and L. S.Young, Berlin: Springer, 1981:366 - 381.[6]陈士华,陆君安.混沌动力学初步.武汉:武汉水利电力大学出版社,1998:95-101.[7]Lai Y C, et al.. Effective scaling regime for computing the correlation dimension from chaotic time series [J].Physica D.1998, 115(1-2):1-
计量
- 文章访问数: 1949
- HTML全文浏览量: 113
- PDF下载量: 416
- 被引次数: 0