基于自适应切比雪夫滤波器的非线性有源噪声控制

Adaptive FCLMS Algorithm for Nonlinear Active Noise Control Based on Chebshev Filter

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Fx LMS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VFx LMS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VFx LMS和FS LMS算法,且收敛速度快。

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.