混沌时序的噪声降低技术研究

介绍了噪声对混沌时序分析的影响，回顾了混沌时序噪声降低方法的研究情况。在此基础上将Ｔａｋ－ｅｎｓ的嵌入理论拓展应用到具有噪声干扰的时间序列，并结合非线性信号处理和非线性近似函数技术，提出了一种把重构相空间同降低噪声干扰相结合的理论方法和处理技术，并以受噪声污染的Ｈｅｎｏｎ 映象时间序列为例，说明了有关概念和应用结果。

NOISE REDUCTION METHOD FOR CHAOTIC TIME SERIES

The effects of noise on chaotic time series analysis were introduced and the previous studies associated with the noise reduction in chaotic time series data were reviewed as well. Moreover, extending Taken's Embedding Theorem to the time series in the presence of the noise and incorporating the techniques for nonlinear signal processing and nonlinear approximating functions, the authors raised a novel scheme for noise reduction in chaotic time series. As an example of noisy time series data, Henon time series were used to illustrate the underlying concepts.