EFFECTS OF FRACTAL INTERPOLATION FILTER ON MULTIFRACTAL ANALYSIS
EFFECTS OF FRACTAL INTERPOLATION FILTER ON MULTIFRACTAL ANALYSIS
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DOI：
10.1142/s0218348x17500244
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
M. Dai;Yue Zong;Xiaoqian Wang;W. Su;Yu Sun;Jie Hou
中科院分区：
文献类型：
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作者：
M. Dai;Yue Zong;Xiaoqian Wang;W. Su;Yu Sun;Jie Hou
在文献中首次提出了分形插值滤波器对原始信号进行变换。利用多重分形去趋势波动分析（MFDFA），研究了滤波器对人工信号和交通信号多重分形标度特性的影响。具体来说，作者比较了变换前后信号的多重分形标度特性。结果表明，分形插值滤波器对多重分形谱的最大值影响较小，而垂直尺度因子对谱宽和谱最大点的影响较大。多重分形谱经过分形插值滤波后，谱线明显收缩。当垂直标度因子为负值时，信号中的分形指数变化剧烈，而当垂直标度因子为负值时，信号中的分形指数保持稳定。因此，当使用分形插值滤波器时，可以找到适当的垂直缩放因子以使滤波器的影响最小化。
Fractal interpolation filter is proposed for the first time in the literatures to transform original signals. Using the multifractal detrended fluctuation analysis (MFDFA), the authors investigate how the filter affects the multifractal scaling properties for both artificial and traffic signals. Specifically, the authors compare the multifractal scaling properties of signals before and after the transforms. It is shown that the fractal interpolation filter changes slightly the maximum value of the multifractal spectrum, while the values of spectrum width and maximum point of spectrum are much more affected by vertical scaling factor. The multifractal spectrum shrinks dramatically after the fractal interpolation filter. The fractal exponents in the signal change dramatically for the negative values of vertical scaling factor while remain stable otherwise. Thus, an appropriate vertical scaling factor can be found in order to minimize the effects of filter when one uses the fractal interpolation filter.