1. State Key Laboratory of Subtropical Building Science, South China University of Technology,Guangzhou, Guangdong 510641, China
2. China National Institute of Metrology, Beijing 100029, China
Abstract The filtered-x type algorithms have been widely used in active noise control systems, where an accurate modeling of the secondary path is usually required. However, stability problems are frequently observed when the secondary path is not well estimated. A Fx recursive least squares algorithm has been proposed, where a random walk model for the state equation of the controller has been employed to improve the robustness of the system. The mean difference equation is derived by using the Abelian integral and Price theorem with Gaussian input. A conservative convergence condition of the proposed algorithm in the mean sense is thus derived from the theoretical analysis, which could provide guidance for algorithm design. Simulations are conducted to show that the proposed algorithm considerably outperforms conventional Fx-type algorithms in stability and convergence capability.
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2023, Vol. 44 
