海杂波的多重分形消除趋势波动分析  

Multifractal detrended fluctuation analysis of sea clutter

作　　者：金丹[1] 察豪[1] 左雷[1] 邢阳阳[2] 

机构地区：[1]海军工程大学电子工程学院 [2]91439部队

出　　处：《海军工程大学学报》2017年第5期29-33,共5页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(42415009)

摘　　要：为充分描述海杂波时变特性和局部奇异性,将多重分形消除趋势理论(MFDFA)引入到雷达海杂波特性分析中,理论分析了海杂波的多重分形参数,对比分析了白噪声、单分形和海杂波的广义Hurst指数,并通过仿真进一步分析了实测海杂波数据的多重分形谱、质量指数和广义Hurst指数。结果表明:海杂波具有明显的多重分形特性,且其波动函数具有一定的分布规律。使用该分析方法提取出的海杂波的多重分形特性很好地解释了海杂波的内在非线性特性,比统计特性分析更加确切地描述海杂波的产生机理,为基于多重分形特性的雷达目标检测提供了依据。In order to fully describe the time-varying characteristic of sea clutter and give a complete description of its local singularity, the multifractal detrended fluctuation analysis （MFDFA） theory is introduced to the analysis of radar sea clutter. This paper theoretically analyzes the multifractal parameters of sea clutter and compares the q-order singularity exponents of white noise, monofractal and sea clutter. Further analysis of multifractal spectrum, massexponent and q-order singularity exponent of sea clutter is made by simulation. The results show that the sea clutter has the characteristics of multifractal features and the fluctuation is distributed with some regularities. The multifractal characteristics of sea clutter extracted by this method can well explain its inherent nonlinear characteris- tics. Compared with the traditional statistical method, the MFDFA method is more accurate in describing the generation mechanism of sea clutter, which provides a basis for radar target detection based on multifractal theory.

关 键 词：海杂波 多重分形消除趋势 数据分析 广义HURST指数 

分 类 号：TN959.1[电子电信—信号与信息处理]