Page 105 - 《应用声学》2023年第6期

第 42 卷 第 6 期 Vol. 42, No. 6
2023 年 11 月 Journal of Applied Acoustics November, 2023

⋄ 研究报告 ⋄

融合插值点优化的多项式结构宽带波束

形成器设计方法 ∗

许志强 陈华伟 † 王晓楠 史文旭

(南京航空航天大学电子信息工程学院 南京 211106)

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。
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
中图法分类号: TN912.3 文献标识码: A 文章编号: 1000-310X(2023)06-1215-10
DOI: 10.11684/j.issn.1000-310X.2023.06.014

Design of polynomial broadband beamformers based on interpolation point
optimization

XU Zhiqiang CHEN Huawei WANG Xiaonan SHI Wenxu

(College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

Abstract: Polynomial structure based design is one of the important methods in the design of steerable
broadband beamformers. The order of polynomial structure is finite, 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.
Keywords: Polynomial beamformer; Orientation deviation; Directivity index; Spatial derivative constraint;
Interpolation point optimization

2022-07-17 收稿; 2022-09-20 定稿
国家自然科学基金项目 (61971219)
∗
作者简介: 许志强 (1998– ), 男, 安徽马鞍山人, 硕士研究生, 研究方向: 声阵列信号处理。
通信作者 E-mail: hwchen@nuaa.edu.cn
†