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测绘学报  2014 

基于混合Gamma拖尾Rayleigh分布的高分辨SAR图像建模

, PP. 151-157

Keywords: 合成孔径雷达图像,乘积模型,拖尾瑞利分布,混合伽马分布,梅林变换

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Abstract:

针对已有统计模型无法精确刻画高分辨率SAR(SyntheticApertureRadar合成孔径雷达)图像的统计特征的问题,本文提出一种基于乘积模型的统计模型称为混合Gamma拖尾Rayleigh分布模型。在该模型中,我们利用拖尾Rayleigh分布对相干斑进行建模,使模型可以精确拟合高分辨率SAR图像相干斑的尖峰和厚尾的特征;同时我们引入混合Gamma分布对高分辨SAR图像RCS(RadarCrossSection雷达散射截面积)复杂起伏特性进行表征。基于梅林变换,我们推导出混合Gamma拖尾Rayleigh分布对数累计量参数估计公式,提高参数估计精度,从而实现对高分辨率SAR图像的精确建模。最后我们通过真实SAR图像对本文提出的模型与已有模型进行比较。试验结果表明,本文提出的模型能够对不同的高分辨率SAR图像进行统计建模,并且具有较高的拟合精度。

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