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基于中心极限定理的合成孔径雷达(SAR)图像统计分布不能反映高分辨率SAR图像尖峰和厚尾的统计特征.文中使用广义中心极限定理,由雷达回波的实部和虚部的对称稳定分布,得到SAR图像的拖尾分布(幅值图像的拖尾Rayleigh分布以及强度图像的拖尾指数分布),并以拖尾Rayleigh分布为例,讨论了拖尾分布的代数拖尾特征以及尖峰厚尾的统计特性.为了实现拖尾分布对高分辨率SAR图像的精确建模,基于第二类统计量,提出了对数累积量的参数估计方法,从而高效估计出拖尾分布的参数.真实SAR图像的建模实例表明,基于广义中心极限定理的拖尾分布可以精确描述高分辨率SAR图像的尖峰和厚尾的统计特征.
The statistical distribution of Synthetic Aperture Radar (SAR) images based on the central limit theorem can not reflect the statistical characteristics of spikes and thick tails in high-resolution SAR images. In this paper, the generalized central limit theorem is used to determine the symmetry between the real and imaginary parts of a radar echo , The trailing distribution of SAR image (the Rayleigh distribution of the amplitude image and the trailing index distribution of the intensity image) are obtained. Taking the trailing Rayleigh distribution as an example, the algebraic trailing characteristics of trailing distribution and the characteristics of peak-tail In order to achieve the accurate modeling of high resolution SAR images by trailing distribution, a parameter estimation method of logarithmic cumulants is proposed based on the second kind of statistics, so that the parameters of the tailing distribution can be efficiently estimated.The true SAR The modeling examples show that the trailing distribution based on the generalized central limit theorem can accurately describe the statistical features of spikes and thick tails of high resolution SAR images.