A multichannel active noise control (ANC) method with exterior radiation suppression is proposed. When applying ANC in a three-dimensional space by using multiple microphones and loudspeakers, the loudspeaker output can amplify noise outside a region of target positions because most of current ANC methods do not take into consideration the exterior radiation of secondary loudspeakers. We propose a normalized least mean square algorithm for feedforward ANC in the frequency domain based on the Riemannian optimization to update the control filter with the exterior radiation power constrained to a target value. The advantages of the proposed method, compared with the algorithm using a penalty term of exterior radiation, were validated by numerical experiments: the exterior radiation power can be constrained during the adaptation process and the parameter for the constraint can be determined in advance.

翻译：提出了一种具有外部辐射抑制功能的多通道主动噪声控制(ANC)方法。在三维空间中使用多个麦克风和扬声器应用主动噪声控制时，由于现有大多数主动噪声控制方法未考虑次级扬声器的外部辐射，扬声器输出可能放大目标位置区域外部的噪声。我们提出了一种基于黎曼优化的频域前馈归一化最小均方算法，在将外部辐射功率约束为目标值的条件下更新控制滤波器。通过与使用外部辐射惩罚项的算法进行比较，数值实验验证了所提方法的优势：在自适应过程中可对外部辐射功率进行约束，且约束参数可预先确定。