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Modeling multilook polarimetric SAR images with heavy-tailed rayleigh distribution and novel estimation based on matrix log-cumulants

查看全文 作　　者：LIU [1]Tao;CUI [1]HaoGui;MAO [2]Tao;XI [1]ZeMin;GAO [1]Jun 高影响力作者 机构地区：[1]Electronic School of Engineering,Naval University of Engineering;[2]Fourth Department Headquarters of Navy高影响力机构 出　　处：《Science China(Information Sciences)》索引2013年第56卷第6期,共14页高影响力期刊 基　　金：supported by National Natural Science Foundation of China (Grant No. 60901069);China Post-doctoral Science Foundation (Grant No. 201150M1545);Natural Science Foundation of Naval University of Engineering (Grant No. HGDQNJJ0027) 摘　　要：With the improvements in modern radar resolution,the Gaussian-fluctuation model based on the central limit theorem does not accurately describe the scattering echo from targets.In contrast,the heavytailed Rayleigh distribution,based on the generalized central limit theorem,performs well in modeling the synthetic aperture radar(SAR) images,whereas its application to multi-look image processing is difficult.We describe successful modeling of multilook polarimetric SAR images with the heavy-tailed Rayleigh distribution and present novel parameter estimators based on matrix log-cumulants for the heavy-tailed Rayleigh distribution including the equivalent number of looks(ENL).First,a compound variable of heavy-tailed Rayleigh distribution is divided into a product of a positive alpha-stable variable and a complex Gaussian variable.The parameter estimations of the characteristic exponent and scale parameter based on log-cumulants in a single polarization channel are then derived.Second,the matrix log-cumulants(MLCs) for full polarization in multilook images are obtained,which can be applied to estimate model parameters.Therefore,a novel ENL estimator based on MLC is presented that describes the model more precisely.Extended to all other multivariable product models,this estimator performs better than existing methods.Finally,calculations on both simulated and real data are performed that give good fits with theoretical results.Multilook processing in one image with a fixed pixel number can improve parameter estimations over single-look processing.Our heavy-tailed Rayleigh model with its parameter estimation provides a new method to analyze the multilook polarimetric SAR images for target detection and classification. 关 键 词：模型参数估计 SAR图像 瑞利分布 全极化 累积量 日志 矩阵 建模
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