海杂波多分形特性分析及小目标检测技术研究

Multifractal Analysis of Sea Clutter and Small Target Detection

  • 摘要: 为判定海杂波是否具有多重分形特性,采用小波模极大值法和多分形消趋势波动分析法对任一距离单元的实测海杂波数据进行分析,提出一种基于时间-距离单元-幅度图法对多距离单元海杂波数据进行分析,分析结果表明海杂波具有多分形特性,尤其是海杂波数据含有小目标情况更为明显。通过分析还发现当Rényi参数q<0时,距离单元含小目标的广义分形维明显大于其它距离单元只含海杂波的广义分形维;而当q>0时,这种规律不是很明显,因此提出一种基于不同距离单元间广义分形维偏差的方法来检测海杂波背景下小目标,实验结果表明该方法是有效的。

     

    Abstract: The real-life sea clutter of a certain range bin is analyzed by Wavelet Transform Modulus Maxima (WTMM) method and Multifractal Detrended Fluctuation Analysis (MFDFA), meanwhile, Time-Range bin-Amplitude plot method is presented in this paper to analyze the sea clutter of many range bins datasets, the results indicate that sea clutter is multifractal, when the sea clutter contains a small target, fractal is disturbed, so the multifractal characteristics is varied a lot. We also find that when Rényi parameter q<0, the generalized fractal dimension (GFD) of the range bin hosting a small target is obviously much larger than that of the range bin hosting no target, when q>0, this law is not obvious, upon this point, an algorithm based on difference between generalized fractal dimensions (DGFD) of different range bins is derived to detect a small target within sea clutter, the experiment results indicate that this algorithm is validate.

     

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