In this paper, two low computational complexity accurate array response control algorithms for large-scale antenna array are presented. The first proposed algorithm is an Improved Weight vector ORthogonal Decomposition (I-WORD) approach. We extend the WORD method by selecting the non-negative coefficient as the ultimate solution, and thus the ultimate weight vector will be in an exact form. Therefore, the proposed I-WORD algorithm has no longer a selection procedure and has low computational complexity compared with the WORD algorithm. Moreover, to achieve multi-point accurate array response control, we further develop a Multi-point control based on I-WORD (MI-WORD) algorithm. The MI-WORD algorithm is able to control multi-point response simultaneously by finding the weight vector from the intersection of weight vector sets with a new matrix constructing manner, which is different from the multi-point accurate array response control (MA²RC) method. Both the proposed algorithms can be applied to adjust the response accurately to synthesize the beampattern. Furthermore, the proposed MI-WORD method has the advantage of low computational complexity, especially when the number of array antennas is large. Simulation results show the effectiveness of the two algorithms and the property of low complexity of the MI-WORD algorithm for beampattern synthesis.

本文提出了两种计算复杂度低的大规模天线阵列精确阵列响应控制算法。第一个提出的算法是改进的权向量正交分解（I-WORD）方法。我们通过选择非负系数作为最终解来扩展 WORD 方法，因此最终权重向量将是精确的形式。因此，所提出的I-WORD算法与WORD算法相比，不再有选择过程，计算复杂度低。此外，为了实现多点精确阵列响应控制，我们进一步开发了基于I-WORD（MI-WORD）算法的多点控制。² RC) 方法。所提出的两种算法都可以用于精确调整响应以合成波束图。此外，所提出的 MI-WORD 方法具有计算复杂度低的优点，尤其是在阵列天线数量较多的情况下。仿真结果表明了两种算法的有效性以及MI-WORD算法在波束方向图合成中复杂度低的特点。