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
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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。Abstract: 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.
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