基于约束最小二乘的稳健发射波束零点控制方法  

Robust Null Control Method for Transmitting Beam Based on Constrained Least Square

作　　者：付伟 柯涛 宋佳 吴俭 FU Wei;KE Tao;SONG Jia;WU Jian(The 8th Research Academy of CSIC,Yangzhou 225101,China)

机构地区：[1]中国船舶集团有限公司第八研究院,江苏扬州225101

出　　处：《舰船电子对抗》2022年第5期44-49,共6页Shipboard Electronic Countermeasure

摘　　要：针对阵列误差下传统的发射波束零点控制算法性能下降,波束主瓣产生畸变以及零点方向不能正确地指向期望方向的问题,提出一种基于约束最小二乘的稳健发射波束零点产生方法。该方法在阵列误差已知的情况下,首先基于约束的最小二乘算法求解理想阵列条件下宽零点约束的最优权值矢量,然后根据阵列误差矩阵进行权值修正,在阵列误差值未知时首先求解无零点约束的常规稳健最优权值矢量,利用二阶锥规划模型求解,然后通过约束的最小二乘误差逼近求解宽零点约束的最优权值矢量。数值仿真结果表明,所提方法能够解决阵列误差下宽零点约束发射波束形成的稳健性问题。The performance of traditional null control algorithm for transmitting beam under array error is degraded,the main lobe of transmitting beam is distorted and the null direction can’t correctly point to expected direction.In order to solve these problems,a robust null control method for transmitting beam based on constrained least square is proposed.In this method,the array error is known,the constrained least square algorithm is firstly adopted to solve the optimal weight vector of broadband null constraint under ideal array condition,then the weight is corrected according to the array error matrix.When the array error value is unknown,the conventional robust optimal weight vector without null constraint is firstly solved by second-order cone programming model,then the optimal weight vector with broadband null constraint is obtained by constrained least square error approximation.Numerical simulation results show that the proposed method can solve the robustness problem of broadband null constrained for transmitting beamforming against array error.

关 键 词：发射波束 零点控制 约束最小二乘 二阶锥规划 宽零点约束 

分 类 号：TN821.8[电子电信—信息与通信工程]