%0 Journal Article
%T PREDICTION OF CHAOTIC TIME SERIES BY USING ADAPTIVE HIGHER-ORDER NONLINEAR FOUR IER INFRARED FILTER<br>混沌时间序列的自适应高阶非线性滤波预测
%A ZHANG JIA-SHU
%A XIAO XIAN-CI
%A <br>张家树
%A 肖先赐
%J 物理学报
%D 2000
%I 
%X Based on the Volterra expansion of nonlinear dynamical system functions and the deterministic and nonlinear characterization of the chaotic signals,an adaptive higher-order nonlinear Fourier infrared(HONFIR)filter is proposed to make predic tion of chaotic time series.The time domain orthogonal algorithm is taken to upd ate filter's coefficients.A higher-order nonlinear adaptive filtering scheme is suggested in order to track current chaotic trajectory by using preceding predic tive error for adjustign filter parameters rather than approximating global or l ocal map of chaotic series.Experimental results show that:(1)this adaptive HONFI R filter can be successfully used to predict hyperchaotic time series;(2)the pre diction capacities of the HONFIR filter is related to its nonlinear function,but not determined by the HONFIR filter's degree of nonlinearity;(3)the adaptive pr ediction performance of the HONFIR filter is not confined by the Takens embeddin g dimension;(4)the proposed HONFIR filter can have some anti-noise ability.
%K chaos
%K nonlinear model
%K filter<br>混沌，
%K 非线性模型，
%K 滤波器
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E66BE2B51EBC4068&yid=9806D0D4EAA9BED3&vid=2A3781E88AB1776F&iid=DF92D298D3FF1E6E&sid=EC37857E7CB2811A&eid=8EC0A96FD5EC3019&journal_id=1000-3290&journal_name=物理学报&referenced_num=20&reference_num=10