广义多项式结构稳健宽带波束形成器优化设计  

Optimal Design of Generalized Polynomial Broadband Beamformers with Robustness

作　　者：许志强 陈华伟[1] XU Zhiqiang;CHEN Huawei(College of Electronic and Information Engineering,Nanjing University of Aeronautics&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：《数据采集与处理》2023年第6期1307-1318,共12页Journal of Data Acquisition and Processing

基　　金：国家自然科学基金(61971219)。

摘　　要：传统多项式结构宽带波束形成器的设计一般采用有限冲激响应(Finite impulse response,FIR)滤波器。本文通过使用正交基滤波器替代传统设计中的FIR滤波器,提出了一种广义多项式结构宽带波束形成器。所提多项式结构宽带波束形成器可视为传统多项式结构宽带波束形成器的推广,因而结构上更为灵活。为增强广义多项式结构宽带波束形成器的鲁棒性,进一步提出了基于平均性能优化准则的稳健优化设计方法。该方法通过粒子群算法对正交基滤波器中的极点进行优化,以利用极点所提供的自由度提高多项式结构宽带波束形成器的性能;同时通过引入阵列响应的空间导数约束,减小了由有限次多项式插值所造成的波束主瓣指向偏差。仿真结果表明,与传统多项式结构设计方法相比,所提设计方法能够获得更好的频率不变性和鲁棒性,且有效改善了波束主瓣指向的精准度,提高了多项式结构宽带波束形成器的指向性指数。Finite impulse response(FIR)filters are generally used in the design of traditional polynomial broadband beamformers.A generalized polynomial broadband beamformer is proposed by using the orthogonal basis filter instead of FIR filter of the traditional design in this paper.The proposed polynomial broadband beamformer can be regarded as an extension of the traditional polynomial broadband beamformers,so its structure is more flexible.In order to enhance the robustness of the generalized polynomial broadband beamformer,a robust optimization design method based on average performance optimization criterion is further proposed.The poles of the orthogonal basis filter are optimized by particle swarm optimization in this method,so that the performance of the polynomial broadband beamformer can be improved by using the freedom provided by the poles.By introducing the spatial derivative constraint of array response,the orientation deviation of beam mainlobe caused by finite polynomial interpolation is reduced.The simulation results show that,compared with the traditional design method of polynomial structure,the proposed design method can obtain better frequency invariant performance and robustness,effectively improve the orientation accuracy of beam mainlobe,and improve the directivity index of polynomial broadband beamformers.

关 键 词：多项式结构波束形成器 正交基滤波器 平均性能优化 空间导数约束 指向偏差 

分 类 号：TN911.7[电子电信—通信与信息系统]