%0 Journal Article
%T Research and implementation of fractal dimension estimation
信号分形维数估计的研究与实现*
%A HE Tao
%A ZHOU Zhen-gou
%A
贺涛
%A 周正欧
%J 计算机应用研究
%D 2008
%I
%X This paper proposed a method to implement fractal dimension estimation based on the self-affine property of signals.It decomposed the signal series to mapping and mapped segments,and adopted a searching algorithm to find the mapping sections that match best for each mapped sect.It estimated fractal dimension by the iterative function system.Simulations on Mackey-Glass time series and Lorenz system indicate that the proposed method can estimate the fractal dimension accurately.
%K fractal dimension
%K self-affine
%K iterative function system
%K searching algorithm
分形维数
%K 自仿射
%K 迭代函数系统
%K 搜索算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=A9D9BE08CDC44144BE8B5685705D3AED&aid=CF78ED78802C69F9D87D655C7FC557F4&yid=67289AFF6305E306&vid=C5154311167311FE&iid=5D311CA918CA9A03&sid=E4C02974137E9C5F&eid=0D34F5DF04A56800&journal_id=1001-3695&journal_name=计算机应用研究&referenced_num=0&reference_num=10