吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (3): 973-980.doi: 10.13229/j.cnki.jdxbgxb201703039

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Linear shrinkage-based blind target detection for MIMO radar with large arrys

JIANG Hong, LI Yin, LYU Wei   

  1. College of Communication Engineering, Jilin University, Changchun 130012, China
  • Received:2016-04-21 Online:2017-05-20 Published:2017-05-20

Abstract: Aiming at Multiple Input Multiple Output (MIMO) radar system with large arrays, in which the number of arrays is comparable to the number of snapshots, a blind target detection method based on Linear Shrinkage-Standard Condition Number (LS-SCN) is proposed by combining the shrinkage algorithm of Covariance Matrix estimation and the large dimensional random matrix theory. By solving the optimization of the sample CM in the large dimensional regime and utilizing the M-P law, the relationship between the detection threshold and the shrinkage coefficient is derived. Single-target and multi-target detection algorithms based on LS-SCN are presented respectively. The method is not sensitive to noise changes and is suitable for large array system, which do not need to know the priori information of noise variance, target scattering matrix and target location. Simulation results show that, compared with SCN algorithm and Minimum Description Length (MDL) algorithm, the proposed methods significantly improve the performance of target detection under the circumstance that the numbers of arrays and snapshots grow at the same rate.

Key words: communications, radar engineering, target detection, large-dimensional random matrix theory, shrinkage algorithm, large arrays

CLC Number: 

  • TN911.23
[1] Fishler E, Haimovich A, Blum R, et al. MIMO radar:an idea whose time has come[C]∥Proc IEEE Radar Conference, Philadelphia, Pennsylvania, USA, 2004: 71-78.
[2] 陈浩文, 黎湘, 庄钊文. 一种新型的雷达体制-MIMO雷达[J]. 电子学报, 2012, 40(6): 1190-1198.
Chen Hao-wen, Li Xiang, Zhuang Zhao-wen. A rising radar system-MIMO radar[J]. Acta Electronica Sinica, 2012, 40 (6): 1190-1198.
[3] 肖文书. MIMO雷达中的信号检测[J]. 电子学报, 2010, 38(3): 626-631.
Xiao Wen-shu. Model of signal detection for MIMO radar[J]. Acta Electronica Sinica, 2010, 38(3): 626-631.
[4] Ding J, Chen H W, Wang H, et al. Low-grazing angle target detection and system configuration of MIMO radar[J]. Progress in Electromagnetics Research B, 2013, 48: 23-42.
[5] 关键, 黄勇. MIMO雷达多目标检测前跟踪算法研究[J]. 电子学报, 2010, 38(6): 1449-1453.
Guan Jian, Huang Yong. Track-before-detect algorithm in a MIMO radar multi-target environment[J]. Acta Electronica Sinica, 2010, 38 (6): 1449-1453.
[6] Wang P, Li H, Himed B. A parametric moving target detector for distributed MIMO radar in non-homogeneous environment[J]. IEEE Transactions on Signal Processing, 2013, 61(9): 2282-2294.
[7] Anitor L, Maleki A, Otten M, et al. Design and analysis of compressed sensing radar detectors[J]. IEEE Transactions on Signal Processing, 2013, 61(4): 813-827.
[8] Rusek F, Persson D, Lau B K, et al. Scaling up MIMO: opportunities and challenges with large arrays[J]. IEEE Signal Processing Magazine, 2013, 30 (1): 40-60.
[9] Couillet R, Pascal F, Silverstein J W. Robust estimates of covariance matrices in the large dimensional regime[J]. IEEE Transaction on Information Theory, 2014, 60(11): 7269-7278.
[10] Lancewicki T, Aladjem M. Multi-target shrinkage estimation for covariance matrices[J]. IEEE Transactions on Signal Processing, 2014, 62(24): 6380-6390.
[11] Ledoit O, Wolf M. A well-conditioned estimator for large-dimensional covariance matrices[J]. J Multivar Anal, 2004, 88(2): 365-411.
[12] Walden A T, Schneider-Luftman D. Random matrix derived shrinkage of spectral precision matrices[J]. IEEE Transactions on Signal Processing, 2015, 63(17): 4689-4699.
[13] Huang L, So H C. Source enumeration via MDL criterion based on linear shrinkage estimation of noise subspace covariance matrix[J]. IEEE Transactions on Signal Processing, 2013, 61(19): 4806-4821.
[14] Pascal F, Chitour Y, Quek Y. Generalized robust shrinkage estimator and its application to STAP detection problem[J]. IEEE Transactions on Signal Processing, 2014, 62(21): 5640-5651.
[15] Guhr T, Groeling A M, Weidenmuller H. Random matrix theories in quantum physics: common concepts[J]. Physics Reports, 1998,299(4):189-425.
[16] Bouchaud J P, Potters M. Theory of Financial Risks-from Statistical Physics to Risk Management[M]. Cambridge: Cambridge University Press, 2000.
[17] Bai Z D, Fang Z B, Liang Y C. Spectral Theory of Large Dimensional Random Matrices and Its applications to Wireless Communications and Fiance Statistics[M]. Hefei: University of Science and Technology of China Press, 2009:1-20.
[18] Bai Z D, Jack W Silverstein. Spectral Analysis of Large Dimensional Random Matrices[M]. 2nd ed. Beijing: Science Press, 2010.
[19] 王磊, 郑宝玉, 李雷. 基于随机矩阵理论的协作频谱感知[J]. 电子与信息学报, 2009, 31(8): 1925-1929.
Wang Lei, Zheng Bao-yu, Li Lei. Cooperative spectrum sensing based on random matrix theory[J]. Journal of Electronics & Information Technology, 2009, 31(8): 1925-1929.
[20] Chatzinotas S, Sharma S K, Ottersten B. Asymptotic analysis of eigenvalue-based blind Spectrum Sensing techniques[C]∥2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Vancouver, Canada, 2013: 4464-4468.
[21] Jiang H, Tang X, Lyu W, et al. Blind multi-target detection for bistatic MIMO radar based on random matrix theory[C]∥The 3rd IEEE China Summit & International Conference on Signal Information Processing (ChinaSIP2015), Chengdu, China, 2015: 1047-1051.
[22] Chen Y, Wiesel A, Eldar Y C, et al. Shrinkage algorithms for MMSE covariance estimation[J]. IEEE Transactions on Signal Processing, 2010, 58(10): 5016-5029.
[23] 兰星, 李伟, 颜佳冰,等. 部分发射天线损毁时MIMO雷达信号认知优化[J]. 重庆邮电大学学报:自然科学版, 2016, 28(2):168-173.
Lan Xing,Li Wei,Yan Jia-bing,et al.Cognitive optimization for MIMO radar signal with part of transmitting antennas damaged[J].Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition),2016, 28(2):168-173.
[24] Couillet R, Debbah M. Random Matrix Methods for Wireless Communications[M]. Cambridge: Cambridge University Press, 2011.
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