变步长自适应滤波算法的研究

The Study on a Variable Step Size Adaptive Filtering Algorithm

本文提出一种采用参考输入信号与误差信号互相关系数估值的变步长自适应滤波算法(VS-NLMS)。与常规的固定步长自适应滤波算法(NLMS)相比,VS-NLMS算法在同样的收敛速度及跟踪速度下能获得更小的稳态误调噪声。理论分析与计算机模拟证实了该算法的优越性。

This paper presents a variable step size adaptive filtering algorithm (VS-NLMS).An estimated cross-correlation coefficient between the input reference signal and the error signal is used as the variable step size.Compared with the conventional fixed step size adaptive filtering algorithm (NLMS), the VS-NLMS algorithm can achieve much lower misad-justment noise in the steady state with the same convergence speed and tracking capability. The excellent properties of the VS-NLMS algorithm are confirmed by theoretical analysis and computer simulations.