In the active sound control, a domain is protected from externally generated noise via constructing secondary sound sources, which are called controls. These controls are applied on the boundary of the shielded domain. Apart from the external noise, a desired sound generated by interior sources should also be retained inside the shielded domain. However, it turns out it is a challenge to preserve the internally generated sound unaffected due to both the reverse effect of the controls on the input data and sparse distribution on the boundary. To take into account the reverse effect, an innovative algorithm based on nonlocal control is implemented in the time domain for the first time. Its real-time practical implementation may include preliminary tuning to the real surrounding conditions. A number of test cases are considered including external broadband noise and internal monochromatic desired sound. A sensitivity analysis is carried out with respect to some key design parameters such as density of sensors and controls as well as respective geometrical displacement from one another determined by the Hausdorff distance. It is demonstrated that the nonlocal control provides the noise attenuation level, which is not very sensitive to the presence of the desired sound.

中文翻译：

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时域内保留期望场的非局部主动声控研究

在主动声音控件中，通过构造辅助声音源（称为控件）来保护域免受外部噪声的影响。这些控件应用于屏蔽域的边界。除外部噪声外，内部源产生的所需声音也应保留在屏蔽区域内。然而，事实证明，要保持内部生成的声音不受影响，这既是由于控件对输入数据的反向影响，又是边界上的稀疏分布而造成的影响。考虑到反向影响，首次在时域中实现了基于非本地控制的创新算法。它的实时实际实现可能包括对实际周围条件的初步调整。考虑了许多测试案例，包括外部宽带噪声和内部单色所需声音。针对一些关键设计参数（例如传感器和控件的密度以及由Hausdorff距离确定的彼此之间的几何位移）进行了敏感性分析。已经证明，非本地控制提供了噪声衰减水平，该噪声衰减水平对所需声音的存在不是很敏感。