一种双重约束的稳健自适应波束形成算法

A robust adaptive beamforming algorithm with doubly constraints

针对最差情况下最优性能波束形成算法(WCB)仅具备对导向矢量误差稳健性的问题,提出了一种双重约束稳健自适应波束形成算法(DCRAB),在WCB的基础上增加了一个协方差矩阵误差约束条件,因而在理论上同时具备对导向矢量误差和协方差矩阵误差的稳健性.经过多次严格条件的释放,将非凸的DCRAB问题转化为凸的二阶锥规划问题(SOCP),最后可采用与WCB相似的方法求解.数值仿真结果表明DCRAB在输出SINR,DOA误差、有限采样点和方向图增益等方面都优于WCB和其他一些经典算法.

Focusing on the problem that the worst-case performance optimization-based beamforming algorithm(WCB)only considers the steering vector error,a robust adaptive beamforming algorithm with doubly constraints(DCRAB)was proposed.A covariance matrix error constraint was added based on the WCB,so it could have the robustness against both the steering vector error and the covariance matrix error theoretically.After some relaxations,the non-convex problem of DCRAB could be converted to a convex second-order cone problem(SOCP).Finally,the DCRAB could be solved with a method similar to WCB.Simulation examples results show that the proposed DCRAB outperforms the WCB and other classic methods in signal-to-interference-plus-noise ratio(SINR)and direction farrival(DOA)and so on.