融合插值点优化的多项式结构宽带波束形成器设计方法  

Design of polynomial broadband beamformers based on interpolation point optimization

作　　者：许志强 陈华伟[1] 王晓楠 史文旭 XU Zhiqiang;CHEN Huawei;WANG Xiaonan;SHI Wenxu(College of Electronic and Information Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)

机构地区：[1]南京航空航天大学电子信息工程学院,南京211106

出　　处：《应用声学》2023年第6期1215-1224,共10页Journal of Applied Acoustics

基　　金：国家自然科学基金项目(61971219)。

摘　　要：多项式结构设计方法是主瓣指向可调宽带波束形成器设计的一类重要方法。多项式结构的阶数是有限的,导致主瓣实际指向与期望指向之间存在偏差,因而影响了波束形成器的指向性指数。针对这一问题,该文提出了一种基于插值点优化的多项式结构宽带波束形成器设计方法。首先,引入多项式结构插值点处阵列响应的空间导数约束,以减小主瓣指向偏差;进而利用粒子群优化算法对多项式结构中的插值点进行优化,以充分利用插值点位置提供的自由度进一步提升多项式结构宽带波束形成器的性能。优化设计结果表明,与现有设计方法相比,该文提出的方法不仅降低了主瓣的指向偏差,同时也提高了指向性指数,有效改善了多项式结构宽带波束形成器的性能。Polynomial structure based design is one of the important methods in the design of steerable broadband beamformers.The order of polynomial structure isfinite,it often leads to the deviation between the actual and the desired mainlobe orientation,thus affecting the directivity index of the beamformer.To address this problem,a polynomial broadband beamformers design method based on interpolation point optimization is proposed in this paper.First,the spatial derivative constraint of the array response at the interpolation point of the polynomial structure is introduced,and then the interpolation point in the polynomial structure is optimized using a particle swarm optimization algorithm to take full advantage of freedom provided by the interpolation point position to improve the design performance of the polynomial broadband beamformers.The optimized design results show that the proposed method not only reduces the orientation deviation of the mainlobe but also improves the directivity index compared with the existing design methods,which effectively improves the performance of the polynomial broadband beamformers.

关 键 词：多项式结构波束形成器 指向偏差 指向性指数 空间导数约束 插值点优化 

分 类 号：TN912.3[电子电信—通信与信息系统]