关键词: 滤波-x最小均方算法（FxLMS）, 主动振动控制, 冲击噪声, 跟踪微分滤波器, 非线性变换

Abstract: FxLMS（Filtered-x Least Mean Square） has been used widely in AVC（Active Vibration Control） system. In practice, the signal produced by the sensors contains not only the signal but also interference, such as measurement noise or burst noise, which deteriorate the AVC system. In order to solve this problem, a new robust filtered-x LMS algorithm is proposed. A Tracking-Differentiator filter and a non-linear transformation function are designed to process the reference and error signals respectively. The updating formula of the filter coefficients in the proposed algorithm is derived from a new minimization criterion that minimizes the Euclidean norm of difference between the currently innovation vector and past vector. Compared with the existing algorithms, the proposed algorithm is more robust against interference to reference signals. Numerical simulation results show the effectiveness of the algorithm.

Key words: Filtered-x Least Mean Square（FxLMS） algorithm, Active Vibration Control（AVC）, impulsive noise, tracking-differentiator filter, non-linear transformation