Polarimetric SAR Imagery Target CFAR Detection Analytical Algorithm with Wishart Distribution
ZHANG Jia-feng1, ZHU Bo2, ZHANG Peng1, WANG Ming-chun1, LIU Tao1
1. School of Electronic Engineering, Naval University of Engineering, Wuhan, Hubei 430030, China;
2. Institute of Information and Technology, Naval Academy of Armament, Beijing 102200, China
Abstract:The equivalent number of looks (ENL) is a key parameter that affects the constant false alarm rate (CFAR) detection performances in polarimetric synthetic aperture radar (PolSAR) imageries.At present,the estimated value of the ENL mostly is not an integer,resulting that existing CFAR detection algorithms are no longer applicable.To solve this problem,a new analytical CFAR algorithm of target detection is proposed in PolSAR imageries.Firstly,the probability density function (PDF) of multi-look polarimetric whitening filter (MPWF) metric is derived based on Wishart distribution assumption;Secondly,the analytical expression of CFAR detection threshold with respect to the ENL is obtained by integrating the PDF of MPWF metric;Finally,the CFAR detection performances of the new algorithm are compared with other CFAR detection algorithms via simulation data and AIRSAR measured data.The results show that the real false alarm probability in the new algorithm is the closest to the given constant false alarm probability,which better guarantees the hypothesis of the constant false alarm probability in the CFAR detection.
[1] 崔浩贵.极化SAR图像统计建模及其参数估计方法研究[D].武汉:海军工程大学,2014.1-2. Cui H G.Research on statistical modelling and parameters estimation of PolSAR imagery[D].Wuhan:Naval University of Engineering,2014.1-2.(in Chinese)
[2] Liu T,et al.Novel estimators of equivalent number of looks in polarimetric SAR imagery based on sub-matrices[J].Science China Information Sciences,2016,59(6):1-13.
[3] Novak L M,et al.Optimal speckle reduction in polarimetric SAR imagery[J].IEEE Transactions on Aerospace and Electronic Systems,1990,26(2):293-305.
[4] Lopes A,et al.Optimal speckle reduction for the product model in mutilook polarimetric SAR imagery and the Wishart distribution[J].IEEE Transactions on Geoscience and Remote Sensing,1997,35(3):632-647.
[5] Liu G Q,et al.The multilook Polarimetric whitening filter (MPWF) for intensity speckle reduction in Polarimetric SAR images[J].IEEE Transactions on Geoscience and Remote Sensing,1998,36(3):152-158.
[6] 刘国庆,黄顺吉,Torre A,等.一种新的多视全极化SAR目标检测器及其性能分析[J].信号处理,1998,14(2):110-116. Liu G Q,et al.A new multi-look polarimetric SAR target detector and its performance analysis[J].Signal Processing,1998,14(2):110-116.(in Chinese)
[7] Chaney R D,et al.On the performance of polarimetric target detection algorithms[A].IEEE International Radar Conference[C].Lexington,Massachusetts,1990.520-525.
[8] Liu G Q,et al.An extension of multi-look polarimetric whitening filter for speckle reduction in polarimetric SAR imagery[A].IEEE International Geoscience and Remote Sensing Symposium[C].chengdu,Sichuan,1998.27-29.
[9] Anfinsen S N,et al.Improved target detection in polarimetric SAR images by use of mellin kind statistics[J].International Workshop on Science and Applications of SAR Polarimetry and Polarimetric Interferometry,2011.
[10] Wei J J,et al.A new automatic ship detection method using L-band polarimetric SAR imagery[J].IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing,2014,7(4):1383-1393.
[11] Gao W,et al.The extended polarimetric whitening filter and its application to target detection in polarimetric synthetic aperture radar images[J].IEEE Geoscience and Remote Sensing Letters,2016,13(3):419-423.
[12] Novak L M,et al.Optimal polrimetric procesing for enhanced target detetion[A].Telesystems Conference Proceedings[C].Lexington,Massachusetts,1991.69-75.
[13] Irving W W,et al.Adaptive processing of polarimetric SAR imagery[A].IEEE Signal,Systems and Computers[C].Lexington,Massachusetts.1990.388-398.
[14] Novak L M,et al.Studies of target detection algorithms that use polarimetric radar data[J].IEEE Transactions on Aerospace and Electronic Systems,1989,25(2):150-165.
[15] 肖顺平,杨勇,冯德军,等.雷达极化检测器性能对比分析[J].宇航学报,2014,35(10):1198-1203. Xiao S P,et al.Contrastive analysis of the performances of radar polarimetric detectors[J].Journal of Astronautics,2014,35(10):1198-1203.(in Chinese)
[16] Goodman N R.Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction)[J].Annals of Mathematical Statistics,1963,34(1):152-177.
[17] 数学手册编写组,数学手册[M].北京:高等教育出版社,2001.588-600.
[18] Goldstein G.B.False-alarm regulation in Log-Normal and Weibull clutter[J].IEEE Transactions on Aeospace and Electonic Systems,1973,9(1):84-92.
[19] Khan S,et al.On fractional moments of multilook polarimetric whitening filter for polarimetric SAR data[J].IEEE Transactions on Geoscience and Remote Sensing,2014,52(6):3502-3512.
[20] 崔浩贵,刘涛,单洪昌,等.一种PolSAR图像统计模型辨识新方法[J].西安电子科技大学学报,2015,42(2):199-205. Cui H G,et al.Novel statistical model recognition method for PolSAR imagery[J].Journal of Xidian University,2015,42(2):199-205.(in Chinese)