信号处理2025，Vol.41Issue(9)：1467-1477,11.DOI:10.12466/xhcl.2025.09.002
含可控干扰抑制约束的环形差分麦克风阵列设计
Design of Circular Differential Microphone Arrays with Controllable Interference Suppression Constraints
摘要
Abstract
Differential microphone arrays(DMAs)are designed to leverage compact microphone arrangements to mea-sure the gradient of the sound pressure field.They offer advantages such as high spatial gain,frequency-invariant spatial response,and a small array aperture.Consequently,DMAs have found wide application in areas such as spatial audio,teleconferencing,smart home systems,hearing aids,and security systems.Among various DMA configurations,the circular DMA(CDMA)is noteworthy for its beam-steering capability and ease of deployment,making it suitable for a broad range of applications.The majority of existing CDMA designs rely on methods that approximate the desired spa-tial response using the Jacobi-Anger expansion.However,CDMAs designed using this approach often lack the flexibil-ity needed to effectively suppress interference in practical scenarios,which can degrade the quality of the captured acoustic signals.To address this limitation,this paper proposes a design methodology for CDMAs with controllable in-terference suppression constraints.The approach formulates the array design as a constrained optimization problem,wherein the degree of interference suppression can be flexibly adjusted via the constraint parameters.Through a series of transformations,the problem is ultimately reduced to a quadratic eigenvalue problem,allowing for explicit analytical so-lutions.Simulation results demonstrate that the proposed method achieves beamforming designs that satisfy predefined interference suppression requirements while closely approximating the target spatial response under a specified signal-to-interference ratio(SIR).Furthermore,compared to approaches that impose direct post-null constraints,the arrays de-signed using this method exhibit greater robustness,effectively mitigating sensitivity to array imperfections and self-noise.关键词
差分麦克风阵列/环形麦克风阵列/波束形成/干扰抑制/二次特征值问题Key words
differential microphone array/circular microphone array/beamforming/interference suppression/qua-dratic eigenvalue problem分类
信息技术与安全科学引用本文复制引用
靳姬鲁,罗雪琴,黄公平,陈景东..含可控干扰抑制约束的环形差分麦克风阵列设计[J].信号处理,2025,41(9):1467-1477,11.基金项目
国家重点研发计划(2021ZD0201502) （2021ZD0201502）
国家自然科学基金重大项目(62192713) National Key Research and Development Program of China(2021ZD0201502) （62192713）
The Major Program of the National Natural Science Foundation of China(62192713) （62192713）
