基于DWT/LMS直交自适应算法的非线性系统辨识  

Nonlinear system identification using DWT/LMS orthogonalizing adaptive algorithms

作　　者：马广富[1] 刘亚秋[1] 姜雪原[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江尔滨150001

出　　处：《哈尔滨工业大学学报》2004年第3期302-306,共5页Journal of Harbin Institute of Technology

基　　金：国防科技预研基金资助项目(98J4.2.1HT0106).

摘　　要：针对传统的最小均方(LMS)算法在信号处理中的不足,提出了在变换域LMS算法中实现离散小波变换(DWT)的算法,并给出了基于直交DWT/LMS自适应算法的非线性滤波器的结构.该方法实现简单,可减少自适应滤波器输入相量自相关矩阵的谱动态范围,比传统的LMS算法的收敛速度快,增加了系统的稳定性;将其用于非线性系统辨识,能够改善辨识模型的自适应能力.数值仿真结果表明了本文方法的可行性和有效性.Considering the deficiency of signal process using traditional least mean square (LMS) algorithm, a discrete wavelet transform algorithm in transform-domain LMS algorithm is presented. The nonlinear filter structure was given based on orthogonal DWT/LMS algorithm. The method is easily implemented and decreases the spectrum dynamic range of auto-correction matrix of input vector, and improves the adaptiveness of the model identification. Compared with traditional LMS algorithm, DWT/LMS algorithm enhanced the convergence speed and stability. The simulation results show that the proposed method is efficient and feasible.

关 键 词：离散小波变换 直交自适应算法 非线性滤波器 非线性系统辨识 最小均方算法 

分 类 号：TN713[电子电信—电路与系统]