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海杂波多重分形特性分析与仿真

         

摘要

Multi-fractal Detrended Fluctuation Analysis(MF-DFA) is an effective way to describe the complex fluctuations of nonstationary time series. Using MF-DFA to analyze sea clutter and find that sea clutter has a characteristic of multi-fractal is proposed. On the basis of this, a wavelet multi-fractal-model is used for modeling and simulating sea clutter. Through testing the simulation result by mathematical analysis and the method of MF-DFA, this model is proved to be useful from different aspects, such as probability density distribution and multi-fractal characteristic.%多重分形消除趋势波动分析方法(MF-DFA)是描述非平稳时间序列复杂波动的有效方法.提出将其用于海杂波分析,发现海杂波具有多重分形特性.在此基础上,运用多重分形小波模型对海杂波进行建模与仿真.通过数学分析和MFDFA方法对仿真结果进行检验,分别从概率密度分布特性和多重分形特性角度验证了该模型的有效性.

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