Block-based distributed adaptive filter for active noise control in a collaborative network

This paper considers the implementation of an Active Noise Control (ANC) system over a network of distributed acoustic nodes. Single-channel nodes composed of one microphone, one loudspeaker, and a processor with communication capabilities have been considered. An equivalent solution to the Multiple Error Filtered-x Least Mean Square algorithm (Me-FxLMS) has been chosen because is a widely used algorithm in ANC systems with centralized processing. The proposed algorithm has been implemented with block-data processing as commonly happens in practical systems. Furthermore, the algorithm works in the frequency domain and with partitioning of the filters for improving its efficiency. Therefore, we present a new formulation to introduce a distributed algorithm based on the Me-FxLMS together with an incremental collaborative strategy in the network. Results demonstrate that the scalable and versatile distributed algorithm exhibits the same performance than the centralized version. Moreover, the computational complexity and some implementation aspects have been analyzed.