In this paper, the two-zone sound field reproduction problem is investigated with a newly proposed method. The aim of the two-zone reproduction problem is to achieve sound field reproduction in the bright zone while keeping the sound field energy in the dark zone as low as possible. The main difference between the proposed method and the conventional method is that the sound field control in the dark zone is not limited to a small number of measurement points on the region boundary but to measurement points throughout the whole dark zone. For practical reasons, the whole region is discretized into a grid, and the grid selection method is also provided in this paper. Simulations are performed to compare the performances of the proposed and conventional methods with different virtual source directions, and a comparison of the robustness to the regularization parameter shows that the proposed method is less sensitive to the selection of the regularization parameter. Finally, an experiment is performed with a circular loudspeaker array in a real listening room. A quieter dark zone is achieved by the proposed method while keeping the reproduction error in the bright zone close to that of the conventional method, similar to the simulation results. These outcomes verify that the proposed method performs well in both free-field and reverberation environments.

在本文中，采用新提出的方法研究了两区声场再现问题。两区域再现问题的目的是在明亮区域中实现声场再现，同时保持黑暗区域中的声场能量尽可能低。所提出的方法与常规方法之间的主要区别在于，暗区中的声场控制不限于区域边界上的少量测量点，而是限于整个暗区中的测量点。出于实际原因，将整个区域离散为一个网格，并且本文还提供了网格选择方法。进行仿真以比较所建议的方法和传统方法在不同虚拟源方向下的性能，并将鲁棒性与正则化参数进行比较，结果表明该方法对正则化参数的选择较不敏感。最后，在真实的听音室中使用圆形扬声器阵列进行实验。类似于仿真结果，通过所提出的方法实现了更安静的暗区，同时保持了亮区中的再现误差接近传统方法。这些结果验证了所提出的方法在自由场和混响环境中均表现良好。类似于仿真结果，通过所提出的方法实现了更安静的暗区，同时保持了亮区中的再现误差接近传统方法。这些结果验证了所提出的方法在自由场和混响环境中均表现良好。类似于仿真结果，通过所提出的方法实现了更安静的暗区，同时保持了亮区中的再现误差接近传统方法。这些结果验证了所提出的方法在自由场和混响环境中均表现良好。