A distributed frequency-constrained multichannel active noise control algorithm based on an extended penalty factor via circular convolution

Multichannel active noise control (ANC) systems have demonstrated prominent advantages in low-frequency noise suppression. Although frequency-constrained strategies can improve the adaptability of the system in complex acoustic environments and allow noise reduction while preserving useful ambient sounds, existing implementations remain largely confined to single-channel configurations. In practical multichannel ANC systems, the application of frequency constraints is restricted by the inherent time delay of the frequency transformation. To address this issue, this paper proposes a frequency-constrained algorithm specifically designed for distributed multichannel ANC systems. The proposed algorithm integrates a node-adaptive mechanism with a neighborhood-based information fusion strategy, while introducing an extended penalty factor via circular convolution to achieve frequency constraints without requiring transformations of the frequency domain. Furthermore, to reduce computational complexity, a distributed coordinate descent optimization method is used, improving the practical feasibility of the algorithm in real-world multichannel ANC applications. Finally, the performance of the proposed algorithm is compared with existing algorithms through numerical simulations conducted in various noise environments. The results demonstrate that the proposed algorithm effectively enforces frequency constraints in distributed multichannel ANC systems, ensuring the preservation of target frequency components while effectively suppressing unwanted noise across other frequency bands.