基于最差性能最优的稳健宽带恒定束宽波束形成  

Robust wideband adaptive beamforming based on worst-case performance optimization

作　　者：刘成城[1] 赵拥军[1] 刘亚奇[1] 杨静[1,2] 

机构地区：[1]信息工程大学导航与空天目标工程学院 [2]72495部队

出　　处：《华中科技大学学报（自然科学版）》2015年第3期89-94,共6页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家高技术研究发展计划资助项目(2011AA7031015D)

摘　　要：针对存在指向误差时传统宽带波束形成器性能下降的问题,提出一种基于最差性能最优的稳健宽带恒定束宽自适应波束形成算法.该算法首先利用空间响应变化约束,实现宽带恒定束宽;然后在约束边界上推导最差性能最优方法的等式约束表达式,并利用拉格朗日乘子法求解最优权矢量;最后给出了拉格朗日乘子的取值范围.仿真实验和理论分析表明:该算法在实现恒定束宽的同时具有较高的阵列输出性能和较好的稳健性;另外,该算法的参数选取方法较为简单,避免了传统最差性能最优方法中的广义特征值分解、牛顿迭代及二阶锥规划求解等,计算量较低.A robust wideband constant beamwidth beamforming algorithm was proposed to solve the problem of performance degrade of traditional wideband beamforminers when there was look direction error existing .With the spatial response variation constraint ,a wideband constant beamwidth beam‐forming algorithm could be obtained .Then ,the equality constraint expression of the worst‐case per‐formance optimization method was derived on the boundary of constraints and the optimal weight was obtained by the Lagrange method .Finally ,the scope of the Lagrange multiplier was given .Experi‐ments and theoretical analysis illustrate that the proposed algorithm obtains a desired result against the look direction estimation error ,and achieves a preferable constant beamwidth performance and a high output signal to interference plus noise ratio .In addition ,the parameters selection of the pro‐posed algorithm is very simple .T he computational complexity is relatively low since it can avoid the generalized eigenvalue decomposition ,New ton iteration and second‐order cone programming solution in the traditional worst‐case performance optimization method .

关 键 词：自适应 波束形成 宽带 稳健 最差性能最优 恒定束宽 空间响应变化约束 

分 类 号：TN911.7[电子电信—通信与信息系统]