多输入多输出雷达低旁瓣发射方向图优化算法

提出了一种基于波束域加权的低旁瓣方向图设计方法。综合考虑方向图匹配性能和发射阵元等功率作为约束条件, 建立低旁瓣发射方向图优化模型, 采用半正定松弛技术将优化模型转化为凸优化问题; 对波束加权矩阵施加对偶约束, 使得接收信号满足旋转不变性; 利用高斯随机化方法对波束加权矩阵进行求解, 得到原优化问题的最优解。仿真结果表明, 算法能够保持期望主瓣形状并有效降低方向图旁瓣, 提高到达角(DOA)的估计精确度和角度分辨力。

Abstract

A low sidelobe transmit beam pattern optimization algorithm based on beam space weighting is proposed. Firstly, the optimization model is established by concerning the beam pattern matching performance while keeping elemental power distribution to be uniform. For the proposed optimization model is nonconvex, semidefinite programming relaxation technique is adopted to transform the nonconvex problem to a convex one. Then, symmetry constraint is constructed for beamspace weighting matrices, which guarantees the rotational invariance property of the received signal. Gaussian randomization technique is utilized to solve the beamspace weighting matrices, therefore, the optimum of original problem can be obtained. Simulation results show that the proposed algorithm can maintain the desired mainlobe shape of the beam pattern as well as decrease the sidelobes, leading to the improvement of Direction Of Arrival(DOA) estimation and target resolution performances.

参考文献

[1] LI J,STOICA P. MIMO Radar Signal Processing［M］. Hoboken:Wiley, 2009.

[2] HAIMOVICH A M,BLUM R S,CIMINI L J. MIMO radar with widely separated antennas［J］. IEEE Signal Processing Magazine, 2008,25(1):116-129.

[3] 胡捍英,孙扬,郑娜娥. 多目标速度估计的分布式MIMO雷达资源分配算法［J］. 电子与信息学报, 2016,38(10):2453-2460. (HU Hanying,SUN Yang,ZHENG Na’e. Resource allocation approach in distributed MIMO radar with multiple targets for velocity estimation［J］. Journal of Electronics & Information Technology, 2016,38(10):2453-2460.)

[4] HASSANIEN A,VOROBYOV S A,GERSHMAN A B. Moving target parameters estimation in non-coherent MIMO radar systems［J］. IEEE Transactions on Signal Processing, 2012,60(5):2354-2361.

[5] LI J,STOICA P. MIMO radar with colocated antennas［J］. IEEE Signal Processing Magazine, 2007,24(5):106-114.

[6] 孟藏珍,许稼,谭贤四,等. MIMO-SAR成像技术发展机遇与挑战［J］. 太赫兹科学与电子信息学报, 2015,13(3):423-430. (MENG Cangzhen,XU Jia,TAN Xiansi,et al. Development opportunities and challenges of MIMO-SAR imaging technology［J］. Journal of Terahertz Science and Electronic Information Technology, 2015,13(3):423-430.)

[7] WILCOX D,SELLATHURAI M. On MIMO radar subarrayed transmit beamforming［J］. IEEE Transactions on Signal Processing, 2012,60(4):2076-2081.

[8] FUHRMANN D R,ANTONIO J S. Transmit beamforming for MIMO radar systems using signal cross-correlation［J］. IEEE Transactions on Aerospace and Electronic Systems, 2008,44(1):171-185.

[9] AHMED S,THOMPSON J S,MULGREW B. Unconstrained synthesis of covariance matrix for MIMO radar transmit beampattern［J］. IEEE Transactions on Signal Processing, 2011,59(8):3837-3849.

[10] STOICA P,LI J,ZHU X. Waveform synthesis for diversity-based transmit beampattern design［J］. IEEE Transactions on Signal Processing, 2008,56(6):2593-2598.

[11] AHMED S,THOMPSON J S,MULGREW B,et al. Finite alphabet constant-envelope waveform design for MIMO radar beampattern［J］. IEEE Transactions on Signal Processing, 2011,59(11):5326-5337.

[12] HASSANIEN A,VOROBYOV S A. Transmit energy focusing for DOA estimation in MIMO radar with colocated antennas［J］. IEEE Transactions on Signal Processing, 2011,59(6):2669-2682.

[13] AHMED S,ALOUINI M S. MIMO radar transmit beampattern design without synthesizing the covariance matrix［J］. IEEE Transactions on Signal Processing, 2014,62(9):2278-2289.

[14] KHABBAZIBASMENJ A,HASSANIEN A,VOROBYOV S A,et al. Efficient transmit beamspace design for search-free based DOA estimation in MIMO radar［J］. IEEE Transactions on Signal Processing, 2014,62(6):1490-1500.

[15] LUO Z Q,MA W K,SO A C,et al. Semidefinite relaxation of quadratic optimization problems［J］. IEEE Signal Processing Magazine, 2010,27(3):20-34.

[16] BOYD S,VANDENBERGHE L. Convex Optimization［M］. Cambridge:Cambridge University Press, 2004.

[17] GRANT M,BOYD S. CVX: Matlab software for disciplined convex programming［R/OL］. CVX Research, 2008［2016-12-19］. http://cvxr.com/cvx/.

李玉翔, 郑娜娥, 王浩, 胡捍英. 多输入多输出雷达低旁瓣发射方向图优化算法[J]. 太赫兹科学与电子信息学报, 2017, 15(4): 601. LI Yuxiang, ZHENG Na’e, WANG Hao, HU Hanying. Low sidelobe transmit beam pattern optimization algorithm for Multiple-Input Multiple-Output radar[J]. Journal of terahertz science and electronic information technology, 2017, 15(4): 601.

多输入多输出雷达低旁瓣发射方向图优化算法

关于本站 Cookie 的使用提示

全站搜索

多输入多输出雷达低旁瓣发射方向图优化算法

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索