Abstract：Single polarization SAR ship detection using a constant false alarm rate (CFAR) detector does not have a standard clutter model, so the system often gives incomplete targets and misses weak targets in multitarget detection. A ship detection method was developed based on robust principle component analysis (RPCA) to improve the detection. This method leverages the intrinsic properties of SAR images that the sea area is approximately low rank and there are few ships. SAR images can be decomposed into the sum of a low rank component, a noise component and a sparse component via RPCA, with the sum of the first two corresponding to the sea surface and the third corresponding to ships. Thus, ship detection and clutter suppression are achieved in one step without a clutter model or statistics. The augmented Lagrange multiplier method for RPCA is verified by simulations. For comparison, cell averaging CFAR (CA-CFAR) and mean square error CFAR (MSE-CFAR) are also used. Tests with real data show that this method correctly detects ships from sea clutter with robust detection performance.
宋胜利, 杨健. 基于鲁棒主成分分析的SAR舰船检测[J]. 清华大学学报（自然科学版）, 2015, 55(8): 844-848.
SONG Shengli, YANG Jian. Ship detection in SAR images by robust principle component analysis. Journal of Tsinghua University(Science and Technology), 2015, 55(8): 844-848.
 Goldstein G B. False-alarm regulation in Log-Normal and Weibull clutter [J]. IEEE Transactions on Aerospace and Electronic Systems, 1973, 9(1): 84-92.
 艾加秋, 齐向阳. 一种基于局部K分布的新的SAR图像舰船检测算法[J]. 中国科学院研究生院学报, 2010, 27(1): 36-42. AI Jiaqiu, QI Xiangyang. A novel ship detection method in SAR images based on local K distribution [J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2010, 27(1): 36-42. (in Chinese)
 Frery A C, Müller H J, Yanasse C C F, et al. A model for extremely heterogeneous clutter [J]. IEEE Transactions on Geoscience and Remote Sensing, 1997, 35(3): 648-659.
 Blacknell D. Target detection in correlated SAR clutter [J]. IEE Proceedings of Radar, Sonar and Navigation, 2000, 147(1): 9-16.
 Moser G, Zerubia J, Serpico S B. Dictionary-based stochastic expectation-maximization for SAR amplitude probability density function estimation [J]. IEEE Transactions on Geoscience and Remote Sensing, 2006, 44(1): 188-200.
 CUI Yi, YANG Jian, ZHANG Xinzheng. New CFAR target detector for SAR images based on kernel density estimation and mean square error distance [J]. Systems Engineering and Electronics, 2012, 23(1): 40-46.
 Candès E J, LI Xiaodong, MA Yi, et al. Robust principal component analysis[J]. Journal of the ACM, 2011, 58(3): 1-34.
 ZHOU Zihan, LI Xiaodong, Wright J, et al. Stable principal component pursuit [C]// 2010 IEEE International Symposium on Information Theory Proceedings. Austin, TX, USA: IEEE, 2010: 1518-1522.
 ZHOU Chenlin, CHEN Minming, MA Yi. The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices, Technical Report UILU-ENG-09-2215 [R]. Champaign, IL, USA: UIUC, 2009.
 Candès E J, Plan Y. Matrix completion with noise [J]. Proceedings of the IEEE, 2010, 98(6): 925-936.
 Bertsekas P D. Nonlinear Programming [M]. Belmont: Athena Scientic Publishing, 1999.
 CAI Jianfeng, Candès E J, ZUO Weishen. A singular value thresholding algorithm for matrix completion [J]. SIAM J OPTIM, 2010, 20(4): 1956-1982.
 Oliver C, Quegan S. Understanding Synthetic Aperture Radar Images [M]. Raleigh, NC, USA: SciTech Publishing, 2004.