多项式结构恒定束宽波束形成器的高效稀疏化设计  

Efficient sparse design of polynomial beamformers with constant-beamwidth

作　　者：王晓楠 陈华伟[1] WANG Xiaonan;CHEN Huawei(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》2024年第6期1203-1218,共16页Journal of Applied Acoustics

基　　金：国家自然科学基金项目(61971219)。

摘　　要：针对传声器阵列多项式结构波束形成器实现复杂度偏大的问题,提出了一种基于交替方向乘子法的多项式结构波束形成器稀疏化设计方法。该方法利用主瓣空间响应变化的优化准则以实现恒定束宽波束形成器设计,并通过将原始的高维非凸问题转化为并行求解的低维凸优化子问题,有效提高了多项式结构波束形成器的稀疏化效率。实验结果表明,与现有多项式结构波束形成器的稀疏化设计方法相比,所提方法在保持良好的设计鲁棒性的同时具备了更优的恒定束宽性能。在优化效率方面,所提方法耗时仅为现有方法的0.69%∼1.09%,并且获得了更高的抽头稀疏度。To address the issue of high computational complexity in implementing polynomial structure beam-formers for microphone arrays,a sparse design method based on the alternating direction method of multipliers is proposed.This method utilizes an optimization criterion that considers the mainlobe spatial response vari-ation to achieve constant-beamwidth beamformer design,and by transforming the original high-dimensional non-convex problem into parallel solvable low-dimensional convex subproblems,the efficiency of sparse design for polynomial structure beamformers is significantly improved.Experimental results demonstrate that,com-pared to existing sparse design methods for polynomial structure beamformers,the proposed method exhibits better constant-beamwidth performance while maintaining good design robustness.In terms of optimization efficiency,the proposed method only takes 0.69%to 1.09%of the time required by the existing methods,and it achieves higher tap sparsity.

关 键 词：传声器阵列 多项式结构波束形成器 恒定束宽 稀疏化设计 交替方向乘子法 

分 类 号：TN912.3[电子电信—通信与信息系统]