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| 基于拖尾分布的高分辨率合成孔径雷达图像建模 |
| 韩崇昭1, 孙增国2 |
| (1)西安交通大学电子与信息工程学院，西安 710049; (2)西安交通大学机械制造系统工程国家重点实验室，西安 710049 |
| Modeling high-resolution synthetic aperture radar images with heavy-tailed distributions |
| Han Chong-Zhao1, Sun Zeng-Guo2 |
| (1)西安交通大学电子与信息工程学院，西安 710049; (2)西安交通大学机械制造系统工程国家重点实验室，西安 710049 |
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摘要： 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.
关键词：
高分辨率合成孔径雷达图像
广义中心极限定理
拖尾分布
对数累积量估计
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Abstract： Statistical distributions of synthetic aperture radar （SAR） images based on central limit theorem cannot reflect the statistical characteristics of sharp peak and heavy tail of high-resolution SAR images. By using the generalized central limit theorem, the heavy-tailed distributions （heavy-tailed Rayleigh distribution for amplitude image and heavy-tailed exponential distribution for intensity image） are obtained from the symmetric stable distributions of real and imaginary parts of echoes. Taking the heavy-tailed Rayleigh distribution as an example, the algebraic tails of heavy-tailed distributions are explained as well as the statistical properties of sharp peak and heavy tail. In order to model the high-resolution SAR images with the heavy-tailed distributions, based on second-kind statistical, Characteristics the log-cumulant estimator is proposed to efficiently estimate the parameters of the heavy-tailed distributions. Modeling experiments on real SAR images demonstrate that the heavy-tailed distributions based on the generalized central limit theorem can accurately describe the sharp-peaked and heavy-tailed statistical characteristics of high-resolution SAR images.
Keywords：
high-resolution synthetic aperture radar images
generalized central limit theorem
heavy-tailed distributions
log-cumulant estimator
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收稿日期: 2009-05-04
出版日期: 2010-02-15
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| 基金: 国家重点基础研究发展计划（批准号:2007CB311006）、国家高技术研究发展计划（批准号:2006AA01Z126）、国家自然科学基金（批准号:60602026）和高等学校博士学科点专项科研基金（批准号:20070698002）资助的课题. |
| 引用本文: |
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孙增国,韩崇昭. 基于拖尾分布的高分辨率合成孔径雷达图像建模. 物理学报, 2010, 59(2): 1008.
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| Cite this article: |
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Sun Zeng-Guo,Han Chong-Zhao. Modeling high-resolution synthetic aperture radar images with heavy-tailed distributions. Acta Phys. Sin., 2010, 59(2): 998-1008.
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| URL: |
| http://wulixb.iphy.ac.cn/CN/Y2010/V59/I2/998 |
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2010, Vol. 59 
