Beampattern synthesis for large-scale antenna array via accurate array response control

Abstract

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.