Sinusoidal noise generated by rotating machinery can be effectively attenuated using narrowband active noise control (NANC) systems based on the filtered-x least mean square (FxLMS) algorithm. While multichannel NANC (MNANC) systems achieve satisfactory performance in large spatial areas, they impose a heavy computational burden. To address this issue, this paper proposes an incremental-based FxLMS (INFxLMS) algorithm for distributed NANC systems, which efficiently distributes the computational load across network nodes. A partial-update INFxLMS algorithm (p-INFxLMS) is also introduced to accommodate communication latency in practical distributed networks. Moreover, a detailed performance analysis-covering both transient and steady-state behavior is provided to characterize the convergence properties of the proposed algorithms. Simulation results demonstrate that in a latency-free network, the INFxLMS algorithm delivers noise reduction performance comparable to that of the centralized approach. And the p-INFxLMS algorithm which is more aligned with reality can achieve good noise reduction while greatly reducing the computational burden. Additionally, computer simulations validate the accuracy of the theoretical analysis.
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