基于施密特正交化和互信息的扬声器与传声器位置联合优化

打开文本图片集

中图分类号：TN911.7-34文章编号：1004-373X（2026）07-0163-07

Joint optimization of loudspeaker and microphone based on Schmidt orthogonalization and mutual information

WU Lifu²， SUN Kang1 ，MA Sijial

1.ScholofEtrodfaiEiingngsitfaiong; 2.JiangsuCollaborativeInnovationCenterofAtmosphericEnvironmentandEquipmentTechnology，Nanjing144，China）

Abstract：This paperproposesajoint optimization method for loudspeaker andmicrophone positions tooptimize the placementsof loudspeakersandmicrophones.Themethodis basedonSchmidtorthogonalizationandmutual information.Inthe firststep，theloudspeakerpositionsareseletedbyteSchmidtorthogonalizationmethod，aximizingthelinearindependeneofthe selected loudspeakertransferimpedancevectors.Inthesecondstep，the microphonepositionsareselected bymutualinformation maximizationmethod，ensuringthattheselectedmicrophonepositionsarethosewherethesoundfieldinformationisleast perceived.The simulationresultsshowthatthe numberof speakers required bythis method inthe frequencyband below 1600Hz （20 isreducedbyorethanreeincomparisonwiththatequiredbyeempicalinterpolationmetod，anditssignal-todistortion ratio（SDR）issiilartothatofthmpicalinterpolationmethod，anditsignificantlyupefosthandomplaceetetod and the regular placement method.At 800Hz ，the normalized squared error （NSE） of the proposed method is reduced by approximately 30% in comparison with those of therandom placement method and the regular placement method，and its sound pressuredistributionishighlyconsistentwiththeexpectedsoundfield，whichverifyitseficiencyandstability.Theproposed methodhasagoodsoundfieldcontrolefectandcanreduce thenumberof loudspeakersand microphones.Inconclusion，it providestheoretical supportand practical solutionsforthe eficient deployment of the sound field control systems.

Keywords：soundfieldcontrol;jointoptimization；Schmidtorthogonalization；mutualinformation；empirical interpolation; loudspeaker; transfer impedance; sound field accuracy

0 引言

声场控制旨在在目标区域内合成期望的声场1。（剩余9730字）