Aiming to improve the detection performance of colocated multiple-input-multiple-output (MIMO) radar in the presence of strong clutter,we addressed the joint optimization problem of the waveform and receiver based on maximizing signal to clutter plus noise ratio (SCNR).Considering that practical radar systems employ constant envelope signals,we also imposed a constant envelope constraint on the waveform.During the optimizations,we divided the joint design problem into two steps,and proposed an algorithm for the design of the constant envelope waveform based on semi-definite relaxation (SDR) and Gaussian randomizations.Numerical simulations show that the proposed algorithm converges with increasing SCNR.Moreover,compared with the optimal waveform under the energy constraint,the SCNR loss is negligible.Finally,the capability of adaptive clutter suppression and improved detection performance of the proposed algorithm is clearly demonstrated.
作者简介: 唐 波 男,1985年8月生于江西临川,2006年和2011年于清华大学电子工程系获工学学士和工学博士学位,现为电子工程学院讲师.研究兴趣主要包括自适应阵列信号处理、雷达波形设计等,主持了国家自科基金、安徽省自科基金等多项科研项目,在IEEE Trans signal processing等国内外刊物发表论文30余篇,其中被SCI检索10余篇,EI检索20余篇,并获省部级科技进 步三等奖2项. E-mail:tangbo06@gmail.com;张 玉 男,1962年10月生于安徽芜湖,1989年毕业于电子工程学院获工学硕士学位,现为电子工程学院教授,研究兴趣主要包括雷达信号处理、通信信号处理等. E-mail:ZY_66582@163.com;李 科 男,1984年11月出生于安徽合肥,2010年毕业于上海大学获工学硕士学位,现为电子工程学院教员,研究兴趣主要为信号处理. E-mail:bsb_like@163.com;高 辉 男,1975年4月出生于安徽寿县,2007年毕业于安徽工程大学获工学硕士学位,现为电子工程学院讲师,研究兴趣主要为信号处理. E-mail:pangtough@163.com
引用本文:
唐波, 张玉, 李科, 高辉. 杂波中MIMO雷达恒模波形及接收机联合优化算法研究[J]. 电子学报, 2014, 42(9): 1705-1711.
TANG Bo, ZHANG Yu, LI Ke, GAO Hui. Joint Constant-Envelope Waveform and Receiver Design for MIMO Radar in the Presence of Clutter. Chinese Journal of Electronics, 2014, 42(9): 1705-1711.
[1] Li Jian, Stoica P.MIMOradar with colocated antennas[J].IEEE Signal Process Mag, 2007, 24(5):106-114.
[2] Haimovich A M, Blum R S, et al.MIMO radar with widely separated antennas[J].IEEE Signal Process Mag, 2008, 25(1):116-129.
[3] Li Jian, Stoica P.MIMO Radar Signal Processing[M].New York: John Wiley & Sons, 2008.
[4] 何子述, 韩春林, 刘波.MIMO雷达概念及其技术特点分析[J].电子学报, 2005, 33(12A):143-147. He Zi-Shu, Han Chun-lin, Liu Bo.MIMO radar and its technical characteristic analysis[J].Acta Electronica Sinica, 2005, 33(12A):143-147.(in Chinese)
[5] 晁淑媛, 陈伯孝, 戴奉周.非均匀杂波MIMO雷达检测[J].电子学报, 2011, 39(3):626-635. Chao Shu-yuan, Chen Bai-xiao, Dai Feng-zhou.MIMO radar detection in nonhomogeneous clutter[J].Acta Electronica Sinica, 2011, 39(3):626-635.(in Chinese)
[6] 戴喜增, 许稼, 等.MIMO-VSAR及其一种优化的阵列配置[J].电子学报, 2008, 36(12):2394-2399. Dai Xi-zeng, Xu Jia, et al, MIMO-VSAR and a kind of optimized array configuration[J].Acta Electronica Sinica, 2008, 36(12):2394-2399.(in Chinese)
[7] 关键, 黄勇, 何友.MIMO阵列雷达检测器的性能分析[J].电子学报, 2010, 38(9):2107-2111. Guan Jian, Huang Yong, He You.Performance analysis of the detector for MIMO array radar[J].Acta Electronica Sinica, 2010, 38(9):2107-2111.(in Chinese)
[8] 夏威, 何子述.APES算法在MIMO雷达参数估计中的稳健性研究[J].电子学报, 2008, 36(9):1804-1809. Xia Wei, He Zi-shu.On the robustness of the APES algorithm in the parameter estimation of MIMO radars[J].Acta Electronica Sinica, 2008, 36(9):1804-1809.(in Chinese)
[9] Fuhrmann D R, et al.Transmit beamforming for MIMO radar systems using signal cross-correlation[J].IEEE Trans Aerospace Electron Syst, 2008, 44(1):171-186.
[10] Stoica P, Li Jian, et al.On probing signal design for MIMO radar[J].IEEE Trans Signal Process, 2007, 55(8):4151-4161.
[11] Stoica P, Li Jian, Zhu Xumin.Waveform synthesis for diversity-based transmit beampattern design[J].IEEE Trans on Signal Processing, 2008, 56(6):2593-2598.
[12] 蒋敏, 黄建国, 韩晶.MIMO阵列恒定包络波形设计[J].电子学报, 2011, 39(9):2194-2199. Jiang Min, Huang Jian-guo, Han Jing.Constant envelope waveform design for MIMO array[J].Acta Electronica Sinica, 2011, 39(9):2194-2199.(in Chinese)
[13] Yang Y, Blum R S, He Z, et al.MIMO radar waveform design via alternating projection[J].IEEE Trans on Signal Processing, 2010, 58(3):1440-1445.
[14] Tang B, Tang J, Peng Y.MIMO radar waveform design in colored noise based on information theory[J].IEEE Trans on Signal Processing, 2010, 58(9):4684-4697.
[15] Tang B, Tang J, Peng Y.Waveform optimization for MIMO radar in colored noise:Further results for estimation-oriented criteria[J].IEEE Trans on Signal Processing, 2012, 60(3):1517-1522.
[16] Friedlander B.Waveformdesign for MIMO radars[J].IEEE Trans Aero Electron Syst, 2007, 43(3):1227-1238.
[17] Chen C Y, Vaidyanathan P P.MIMO radar waveform optimization with prior information of the extended target and clutter[J].IEEE Trans on Signal Processing, 2009, 57(9):3533-3544.
[18] Boyd S, Vandenberghe L.Convex Optimization[M].Cambridge, UK:Cambridge University Press, 2004.
[19] Luo Zhi-Quan, MaWing-Kin, et al.Semidefinite relaxation of quadratic optimization problems[J].IEEE Signal Process Mag, 2010, 27(3):20-34.
[20] 张贤达.矩阵分析与应用[M].北京:清华大学出版社, 2006.
[21] Stoica P, Selen Y.Cyclic minimizers, majorization techniques, and the expectation-maximization algorithm:a refresher[J].IEEE Signal Process Mag, 2004, 21(1):112-114.
[22] Vandenberghe L, Boyd S.Semidefinite programming[J].SIAM Review, 1996, 38(1):49-95.
[23] Sturm J.Using Sedumi 1.02, A Matlab toolbox for optimization over symmetric cones[J].Optimization Methods and Software, 1999, 11-12:625-653.