矢量最优化稳健波束形成性能分析

针对标准的Capon波束形成在阵列导向矢量存在误差时出现严重性能退化,本文从权矢量模约束和不确定集两个角度出发,提出矢量最优化稳健波束形成方法,并通过二阶锥规划进行有效求解.文中还进一步给出自适应权矢量的近似解析表达式,揭示了影响最优权矢量的各主要因素.通过理论分析和计算机仿真研究,详细讨论了约束参数、信噪比、快拍数以及方位估计偏差对输出信干噪比及空间谱估计的影响.外场实验数据处理结果表明,将本文方法应用于实际工程进行空间谱估计,能够得到准确而稳健的高分辨方位估计结果.

Performance Analysis of Robust Adaptive Beamforming Based on Vector Optimization

When there exists the array steering vector error,the performance of standard Capon beamforming will be severely degraded.In this paper,in the view of the constraints on the weight vector and the uncertainty sets,we propose a new approach,which is called Vector Optimization Robust Beamforming.It is shown that the proposed algorithm can be reformulated in a convex form as the so-called Second-Order Cone(SOC) program and solved efficiently using the well-established optimization tool,sedumi.Furthermore,this paper gives the approximate analytical expression for the adaptive weight vector,and reveals the main factors influencing the weight vector.Through the theory analysis and computer simulations,the influences of the constraint parameters,Signal Noise Ratio,snapshots,and bearing estimation errors on the output Signal Interference Noise Ratio and the spatial spectrum estimation are discussed in detail.Finally,the experimental results show that the robust high-resolution bearing estimation results can be obtained by our proposed method in practice.