基于均匀圆阵的稳健迭代波束形成算法
发布时间：2019-05-21 16:08
【摘要】：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入值.仿真结果表明:所提算法能够提高系统的稳健性,改善了阵列的输出性能.
[Abstract]:A robust iterative beamforming algorithm based on uniform circular array is proposed to solve the problem that the performance of traditional beamformer is degraded by guide vector deviation and conversion error and that uniform circular array does not have van der Mont structure. In this algorithm, the virtual autocorrelation matrix is derived by using the phase mode conversion technique, and the guidance vector is limited to the determined elliptical set. Based on the design idea of worst performance optimization, the cost function of second order convex programming based on uniform circular array is constructed, and then the closed solution expression of weight vector is obtained by Lagrange multiplier method, and the diagonal loading value in the optimal solution can be obtained accurately. The simulation results show that the proposed algorithm can improve the robustness of the system and the output performance of the array.
【作者单位】： 东北大学秦皇岛分校计算机与通信工程学院;东北大学计算机科学与工程学院;
【基金】：国家自然科学基金资助项目(61473066,61403069) 中央高校基本科研业务费专项资金资助项目(N152305001)
【分类号】：TN911.7
[Abstract]:A robust iterative beamforming algorithm based on uniform circular array is proposed to solve the problem that the performance of traditional beamformer is degraded by guide vector deviation and conversion error and that uniform circular array does not have van der Mont structure. In this algorithm, the virtual autocorrelation matrix is derived by using the phase mode conversion technique, and the guidance vector is limited to the determined elliptical set. Based on the design idea of worst performance optimization, the cost function of second order convex programming based on uniform circular array is constructed, and then the closed solution expression of weight vector is obtained by Lagrange multiplier method, and the diagonal loading value in the optimal solution can be obtained accurately. The simulation results show that the proposed algorithm can improve the robustness of the system and the output performance of the array.
【作者单位】： 东北大学秦皇岛分校计算机与通信工程学院;东北大学计算机科学与工程学院;
【基金】：国家自然科学基金资助项目(61473066,61403069) 中央高校基本科研业务费专项资金资助项目(N152305001)
【分类号】：TN911.7
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