Optimal beamforming with aliasing cancellation in the spherical harmonics domain  

作　　者：JIANG Peihong CHU Zhigang LI Peiran YANG Yang 

机构地区：[1]State Key Laboratory of Vehicle NVH and Safety Technology,Chongqing 401122 [2]College of Mechanical and Vehicle Engineering,Chongqing University,Chongqing 400044

出　　处：《Chinese Journal of Acoustics》2023年第3期307-321,共15页声学学报（英文版）

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)。

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.

关 键 词：HARMONICS SPHERICAL CONSTRAINT 

分 类 号：TN641[电子电信—电路与系统]