Detrended fluctuation analysis of non-stationary sea clutter
Detrended fluctuation analysis of non-stationary sea clutter
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2013
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He You
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根据去趋势波动分析（DFA）的基本原理，研究了非平稳条件下两个不同波段实测海杂波数据的分形标度特性，以及海洋环境参数对分析结果的影响，首先采用不同数据段间方差/均值、随机游走模型和对数方差对标度等方法，海杂波的特性例如非平稳，定性地证明了分形和长程相关性的存在，然后利用DFA计算出的双对数起伏函数-尺度曲线，分析了不同尺度范围内海杂波和目标单元的标度指数特性，研究了标度交叉现象，结果表明，标度交叉现象是由于海杂波在不同尺度范围内相关特性的差异造成的，并给出了相应的标度指数计算公式不同尺度下，VV极化数据的差异更为显著，当海况变化时，不同尺度范围内标度指数的变化趋势与极化模式密切相关，最后选取拟合误差作为检测统计量，验证了分析结果在目标检测算法领域的应用。
According to the basic principle of detrended fluctuation analysis(DFA),this paper researches the fractal scaling property of measured sea clutter data with two different bands under non-stationary conditions,as well as the influence of ocean environment parameters on the analysis results.Firstly,with the methods of variation mean/variance between different data segments,random walk model and logarithm variance verse scale etc.,the properties of sea clutter such as non-stationary,fractal and long range correlations are qualitatively justified.The scaling exponent property of sea clutter and targets bins is then analyzed within different scale ranges by making use of the double logarithm fluctuation function verse scale curves worked out by DFA.The research results of scaling crossover phenomenon shows that it is caused by the discrepancy in correlation properties of sea clutter at different scales,and the discrepancy is more prominent for VV polarized data.When sea state changes,the changing trend of scaling exponents in different scale ranges is closely related to polarization patterns.Finally,the fit error is chosen as detection statistics to validate the application of analysis results in the field of target detection algorithm.