基于自适应切比雪夫滤波器的非线性有源噪声控制.PDF

第37 卷 第3 期 噪 声 与 振 动 控 制 Vol 37 No.3 2017 年6 月 NOISE AND VIBRATION CONTROL Jun. 2017 文章编号：1006-1355(2017)03-0088-04+ 121 基于自适应切比雪夫滤波器的非线性 有源噪声控制 郭新年，周恒瑞 （淮阴工学院，江苏 淮安 223003 ） 摘 要：提出一种基于自适应切比雪夫滤波器的非线性有源噪声控制算法FCLMS 。FCLMS 算法使用传统的 FxLMS 结构，将初级噪声使用第一类切比雪夫多项式展开，进而拟合该信号，而后使用LMS 自适应算法进行噪声控 制。该算法的计算复杂度低于2 阶VFxLMS 和1 阶FS LMS 算法。在不同的仿真模型下的仿真结果表明，该算法控制 效果均达到或优于VFxLMS 和FS LMS 算法，且收敛速度快。 关键词：声学；有源噪声控制；非线性自适应滤波器；切比雪夫滤波器；FSLMS 中图分类号：TB 132；TB535 文献标识码：A DOI 编码：10.3969/j.issn. 1006-1355.2017.03.017 Adaptive FCLMS Algorithm for Nonlinear Active Noise Control Based on Chebshev Filter GUO Xin-nian , ZHOU Heng-rui ( Huai Yin Institute of Technology, Huaian 223003, Jiangsu China ) Abstract : A Chebshev filter based filtered-x least mean square (FCLMS) algorithm is proposed for nonlinear active noise control (NANC). The FCLMS algorithm uses the traditional FxLMS structure with the first kind Chebyshev polynomial expansion of the original signal. The computational complexity analyses in comparison with the second-order Volterra filtered-xLMS (VFxLMS) and first-order filtered-s LMS (FSLMS) algorithms are provided. The performance of the FCLMS algorithms is validated through computer simulations. Results of the simulations demonstrate that the developed FC LMS algorithm is better than the VFxLMS and FSLMS algorithms in terms of the noise control efficiency as well as the convergence speeds. Key words : acoustics; active noise control; nonlinear adaptive filter; Chebshev filter; FSLMS 随着现代工业设备，交通运输业的发展，噪声污