针对导向矢量偏差和转换误差导致传统波束形成器的性能下降及均匀圆阵不具有范德蒙结构的问题,提出了一种基于均匀圆阵的稳健迭代波束形成算法.该算法利用相位模式转换技术推导出虚拟自相关矩阵,并把导向矢量限定于确定的椭圆集合中.从最差性能优化的设计思想出发,构造基于均匀圆阵的二阶凸规划的代价函数,再利用拉格朗日乘子法求得权重矢量的闭式解表达式且能够准确求出优化解中的对角载人值.仿真结果表明:所提算法能够提髙系统的稳健性,改善了阵列的输出性能.
The performances of traditional beamformers degrade severely in the presence of signal steering vector mismatches and transformation errors, and the uniform circular array (UCA) does not have the Vandermonde structure, a novel robust iterative beamforming algorithm based on the uniform circular array was proposed. Using phase-mode transformation technique,the virtual correlation matrix was obtained and the steering vector was belong to the certain ellipsoid set. The worst-case performance optimization was used and the cost function of second convex programming was constructed based on UCA. The weight vector has a closed-form solution by the Lagrange multiplier method, in which the diagonal loading factor was derived exactly. The simulation results showed that the proposed algorithm can provide efficient robustness and improve the array output performance.