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OALib Journal期刊
ISSN: 2333-9721
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Research and implementation of fractal dimension estimation
信号分形维数估计的研究与实现*

Keywords: fractal dimension,self-affine,iterative function system,searching algorithm
分形维数
,自仿射,迭代函数系统,搜索算法

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Abstract:

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.

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