Optimal beamforming with aliasing cancellation in the spherical harmonics domain

作     者：JIANG Peihong CHU Zhigang LI Peiran YANG Yang 

作者机构：State Key Laboratory of Vehicle NVH and Safety TechnologyChongqing 401122 College of Mechanical and Vehicle EngineeringChongqing UniversityChongqing 400044 

出 版 物：《Chinese Journal of Acoustics》 (声学学报（英文版）)

年 卷 期：2023年第42卷第3期

页      面：307-321页

核心收录：

学科分类：080903[工学-微电子学与固体电子学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：supported by the Open Foundation of the State Key Laboratory of Noise,Vibration and Safety Technology of China(NVHSKL-202002) the National Natural Science Foundation of China(11704040)。 

主　　题：harmonics spherical constraint 

摘      要：The existing beamforming with aliasing elimination in the spherical harmonics domain usually adopts a single design goal,making it challenging to adapt to diverse application scenarios.Therefore,we propose optimal beamforming with aliasing cancellation in the spherical harmonics domain and establish a corresponding multiply constrained convex optimization model with a second-order cone programming form.Benefiting from this model,we further propose a maximum directivity beamformer with sidelobe constraint and aliasing cancellation,a robust maximum directivity beamformer with aliasing cancellation,a minimum variance distortionless response beamformer with aliasing elimination,and a maximum directivity beamformer with null constraint and aliasing elimination.The proposed method not only inherits the aliasing-cancellation capability of the existing aliasing cancellation beamforming,but also achieves a proper trade-off among multiple conflicting performance measures such as directivity factor,white noise gain,and sidelobe level.Hence,the proposed optimal beamforming provides users with the flexibility to adjust the constraint parameters according to actual application requirements and thus obtain a beamformer with the best all-around performance in a specific scenario.