声区控制系统中基于传递函数矩阵条件数的扬声器选择  

Selection of loudspeakers based on condition number of transfer function matrix in sound zone control system

作　　者：黄洋 李天佑 赵斯培 牛锋[3] 卢晶[1] HUANG Yang;LI Tianyou;ZHAO Sipei;NIU Feng;LU Jing(Key Lab.of Modern Acoustics,Nanjing University,Nanjing 210093;Centre for Audio,Acoustics and Vibration,University of Technology Sydney Sydney,Australia 1001;National Institute of Metrology China,Beijing 100029)

机构地区：[1]南京大学近代声学教育部重点实验室,南京210093 [2]悉尼科技大学声与振动中心,澳大利亚悉尼1001 [3]中国计量科学研究院,北京100029

出　　处：《声学学报》2024年第6期1162-1171,共10页Acta Acustica

基　　金：国家自然科学基金项目(12274221)资助。

摘　　要：针对声场分区中现有扬声器选择方法难以兼顾鲁棒性和分区效果的问题,提出了一种基于传递函数矩阵条件数最小化的扬声器选择方法。结合明区重放声场均方误差最小准则对条件数方法进行改进,改进后的方法不仅保持了条件数方法的鲁棒性优势,还在重放性能上优于现有迭代方法。通过调整改进方法的阈值参数,可以在鲁棒性、计算量和重放性能之间实现平衡。自由场、混响场和基于实测房间的仿真结果,以及模拟主观评测结果均验证了方法的有效,证明了提出的条件数改进方法具有更好的普适性和灵活性,能够适应多种应用场景的需求。In order to address the difficulties in balancing robustness and performance of conventional loudspeaker selection methods in sound zone control,a loudspeaker selection method based on the principle of minimizing the condition number of the transfer function matrix is proposed.The method is further improved by combining this strategy with the minimum mean squared error method,which not only maintains algorithm robustness but also achieves better reproduction accuracy compared to conventional iterative methods.By adjusting the threshold parameters of the improved model,a balance between robustness,computational complexity,and system performance can be achieved.Free field,reverberant field,and actual room measurement simulations,along with simulated subjective evaluation results,demonstrate that the improved condition number model has greater universality and flexibility,meeting the needs of various application scenarios.

关 键 词：声场重放 声场分区 扬声器位置 条件数 

分 类 号：TN643[电子电信—电路与系统]