自适应数字波束形成作为天线技术和数字信号处理融合的产物,近年来成为跨领域的研究热点,并且广泛应用到新一代的相控阵雷达和移动通信中。文中提出一种基于矩阵流形理论的自适应波束形成算法。不同于传统的波束形成算法,该算法将波束形成问题转化为高维优化问题,并引入矩阵流形优化理论,在Stiefel流形上求解该问题。由于降低了求解问题的维度,限制了最优解的范围,该算法相比于传统的自适应波束形成算法,具有收敛速度快、运算量小、鲁棒性好的优点。

Adaptive digital beam forming is a fusion of antenna technology and digital signal processing, which has become a hot research topic in the cross domain, and widely used in the new generation of phased array radar and mobile communication. In this paper, an adaptive beamforming algorithm based on matrix manifold theory is proposed. Different from the traditional beamforming algorithms, this algorithm transforms the beamforming problem into a high dimensional optimization problem, and introduces the theory of the optimization of the matrix to solve the problem on the Stiefel manifold. Because the dimension of solving problem is reduced and the range of the optimal solution is limited, compared with the traditional adaptive beamforming algorithms, the proposed algorithm has the advantages of fast convergence speed, small computation quantity and good robustness.

TN957