杂波背景下基于交替方向乘子法的低截获频控阵MIMO雷达收发联合优化方法  

Joint Design of the Transmit and Receive Beamforming via Alternating Direction Method of Multipliers for LPI of Frequency Diverse Array MIMO Radar in the Presence of Clutter

作　　者：巩朋成[1,2] 王兆彬[1] 谭海明 王文钦 GONG Pengcheng;WANG Zhaobin;TAN Haiming;WANG Wenqin(Hubei Key Laboratory for High-efficiency Utilization of Solar Energy and Operation Control of Energy Storage System,Hubei University of Technology,Wuhan 430068,China;School of Communication and Information Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]湖北工业大学太阳能高效利用及储能运行控制湖北省重点实验室,武汉430068 [2]电子科技大学通信与信息工程学院,成都611731

出　　处：《电子与信息学报》2021年第5期1267-1274,共8页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(62071172);湖北省自然科学基金(2018CFB545);太阳能高效利用及储能运行控制湖北省重点实验室开放基金(HBSEES202001)。

摘　　要：针对相控阵雷达无法有效实现特定区域能量控制的问题,该文提出一种杂波环境下基于交替方向乘子法(ADMM)的频控阵MIMO(FDA-MIMO)雷达低截获(LPI)优化设计方法。该方法的优化准则是在保证目标参数估计性能的条件下,通过联合设计发射波束和接收滤波器使FDA-MIMO雷达在目标2维(距离-方位)区域上辐射的能量尽量小,即尽可能地降低雷达被截获的概率;接着利用加权求和的方法将优化准则构造成多比例分式规划(FP)和的问题;然后利用循环迭代的方法,将优化问题转化成两个子优化问题;最后基于ADMM方法消除等式约束,并通过最小化2阶2次近似优化问题获得发射波束的闭合解。此外,也分析了该方法的计算复杂度。仿真部分通过输出信干燥比(SINR)、发射和接收方向图验证了该方法的有效性。In view of the limitation of the phased-array on suppressing the range-dependent interference,a joint design of the transmit and receive beamforming via the Alternating Direction Method of Multipliers(ADMM)method for Low Probability of Intercept(LPI)of Multiple-Input Multiple-Output with Frequency Diverse Array(FDA-MIMO)radar in the presence of clutter is proposed.The problem of joint design is to maximize the performance of target parameter estimation,and minimize the transmit energy at the target region which enhances LPI capability.Following a weighted sum of the performance metric,the original problem is firstly recasts to a multiple-ratio Fractional Programming(FP)problem.Subsequently,an iterative algorithm is developed.Concretely,at each iteration,the transmit beamforming matrix is optimized by employing ADMM method and the quadratic approximation algorithm.Moreover,the computational complexity of the proposed algorithm is discussed.Numerical simulations are provided to demonstrate the effectiveness of the proposed algorithm.

关 键 词：MIMO雷达 频控阵 多比例分式规划 波形设计 交替方向乘子法 

分 类 号：TN958[电子电信—信号与信息处理]