LMS和RLS自适应滤波器算法应用研究.docx

1 摘要本论文主要研究了自适应滤波器的基本结构和原理, 其次对于两种典型的 LMS 自适应滤波器以及 RLS 自适应滤波器数学算法,数学公式加以推到,验证以求从根本上对其加深理解。第三,对于M atlab 数学编程软件加以熟悉掌握,达到熟练运用的程度;第四,运用 matlab 对两种典型的滤波器加以编程,针对不同的信号数据参数加以对比,得出自己对于自适应滤波的理解,综合以上经验提出,实现自己对于自适应滤波的设计; 关键字: 滤波器,自适应滤波器, LMS 自适应滤波器, RLS 自适应滤波器; ABSTRACT This thesis mainly studies the basic structure and principle of adaptive filter, the second for two typical LMS adaptive filter mathematical algorithm and RLS adaptive filter, a mathematical formula to push to verify in order to fundamentally to deepen understanding. Third, for Matlab mathematical programming software to master, reach the level of proficiency in; Fourth, the use of matlab programming for two typical filters, for different signal data pare the parameters to obtain their understanding of the adaptive filter, comprehensive experience, realize oneself to the design of the adaptive filter; Key words: LMS , RLS ,自适应滤波器; 2 目录 ABSTRACT ................................................................................................................................. 3 第一章绪论............................................................................................................................... 5 滤波器的发展背景以及研究意义: .......................................................................... 5 第二章自适应滤波器的基础知识.......................................................................................... 6 滤波器的基础理论.................................................................................................... 6 滤波器的基础理论.......................................................................................... 6 自适应滤波器的基础理论.............................................................................. 7 两种典型的自适应滤波器........................................................................................ 7 LMS 自适应滤波器: ...................................................................................... 7 RLS 自适应滤波器: ..................................................................