基于状态方程的Fx-RLS主动噪声控制方法

doi:10.3969/j.issn.1000-1158.2023.11.12

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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.

Key words： metrology active noise control;filtered-x least mean squares recursive least squares

Received: 17 May 2022 Published: 17 November 2023

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TB95

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	Articles by authors
	CHU Yi-jing
	ZHAO Yue-zhe
	NIU Feng
	Chen Ming-yang

Cite this article:

CHU Yi-jing,ZHAO Yue-zhe,NIU Feng, et al. A State-Based Filtered-x Recursive Least Squares Algorithm[J]. Acta Metrologica Sinica, 2023, 44(11): 1713-1718.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2023.11.12 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2023/V44/I11/1713

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