A spatial active noise control (ANC) method based on the interpolation of a sound field from reference microphone signals is proposed. In most current spatial ANC methods, a sufficient number of error microphones are required to reduce noise over the target region because the sound field is estimated from error microphone signals. However, in practical applications, it is preferable that the number of error microphones is as small as possible to keep a space in the target region for ANC users. We propose to interpolate the sound field from reference microphones, which are normally placed outside the target region, instead of the error microphones. We derive a fixed filter for spatial noise reduction on the basis of the kernel ridge regression for sound field interpolation. Furthermore, to compensate for estimation errors, we combine the proposed fixed filter with multichannel ANC based on a transition of the control filter using the error microphone signals. Numerical experimental results indicate that regional noise can be sufficiently reduced by the proposed methods even when the number of error microphones is particularly small.

翻译：提出了一种基于参考麦克风信号声场插值的空间有源噪声控制方法。在现有的大多数空间有源噪声控制方法中，由于声场需要依靠误差麦克风信号进行估计，因此需要足够数量的误差麦克风来降低目标区域内的噪声。然而在实际应用中，为了给有源噪声控制用户保留目标区域内的空间，应尽可能减少误差麦克风的数量。我们提出利用通常置于目标区域外部的参考麦克风替代误差麦克风进行声场插值。基于核岭回归声场插值理论，推导了用于空间降噪的固定滤波器。此外，为补偿估计误差，我们将所提固定滤波器与基于控制滤波器过渡的多通道有源噪声控制方法相结合，利用误差麦克风信号进行修正。数值实验结果表明，即使在误差麦克风数量特别少的情况下，所提方法仍能充分降低区域噪声。