Noise Effect on Multifractal Detrended Fluctuation Analysis Based on Element Enrichment Model

Noise Effect on Multifractal Detrended Fluctuation Analysis Based on Element Enrichment Model
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基于元素富集模型的多重分形去趋势波动分析中的噪声效应

DOI:
10.4028/www.scientific.net/amr.1008-1009.1548
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发表时间:
2014-08
期刊:
Advanced Materials Research
影响因子:
--
通讯作者:
Wan Li
Wan Li
中科院分区:
其他
文献类型:
--
作者:
Xie Danying;Wan Li

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利用元素富集模型,应用多重分形去趋势波动分析(MF-DFA)分析添加了随机噪声和尖峰噪声的序列的多重分形性质,并讨论噪声对标度指数的影响。结果表明,在随机噪声和尖峰噪声下,标度指数是稳定的。当q>0时,元素富集模型加入随机噪声对标度指数的影响较小,且随着参数p的增大,差异越来越小;当添加强度为1.5倍到2.5倍的尖峰噪声时,相应的影响是一致的,说明MF-DFA方法在给定条件下对随机噪声和尖峰噪声具有较好的抗噪能力。
Used of the element enrichment model, the multifractal detrended fluctuation analysis (MF-DFA) is applied to analyze the multifractal property for sequences which were added stochastic noise and spike noise, and then we discuss the noise effect on the scaling exponent. The result shows that the scaling exponent is stable under stochastic noise and spike noise. For q>0, the influence on the scaling exponent is rather small when the element enrichment model was added stochastic noise, and the difference is getting smaller with the increasing parameter p; When adding spike noise whose strength is from 1.5 times to 2.5 times, the corresponding influence is consistent, it indicates that MF-DFA method has a better noise immunity against stochastic noise and spike noise under given conditions.
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