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基于相空间邻域的混沌时间序列自适应预测滤波器(Ⅰ)线性自适应滤波

物理学报, 2003, 52(5): 1096-1101.
DOI: 10.7498/aps.52.1096
CSTR: 32037.14.aps.52.1096

Adaptive predict-filter of chaotic time series constructed Based on the neighbou rhood in the reconstructed phase space(Ⅰ)linear adaptive filter

Acta Phys. Sin., 2003, 52(5): 1096-1101.
DOI: 10.7498/aps.52.1096
CSTR: 32037.14.aps.52.1096
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  • 摘要

    提出了一种基于相空间邻域的线性自适应滤波算法，将时间域变换到高维重构矢量空间，使 得不可能实现的线性预测变成了可能.实验结果表明：这种基于相空间邻域的线性自适应预 测滤波器能够有效预测一些混沌序列，能够检测到一些混沌载波中的信号，具有去混沌噪声 的能力.

     

    Abstract

    A kind of adaptive linear predict-filter of chaotic time series by neighbourhood in the reconstructed phase space is proposed. It can convert the time domain i nto the multi-dimensional vector domain, and predict the chaotic time series by linear filter. The result of computer simulation illustrates that the algorithm is effective in predicting some chaotic series and identifying the signal in the chaotic wave.

     

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