利用Padé逼近的低阶极点自适应设计IIR滤波器  

Adaptive IIR filter design using lower-order poles of Padé approximants

作　　者：李兰勤[1] 林京[1] 

机构地区：[1]合肥工业大学数学系,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第4期662-666,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：主要论述了用Padé逼近法自适应地设计数字滤波器,先介绍了Padé逼近法设计IIR数字滤波器的基本思路,接着讨论转移函数有高阶极点的情况;而经典的逼近函数只考虑了转移函数有单阶极点的情况,根据Padé逼近的行收敛性定理可以实现自适应分配极点;依据判定方法,文中进一步给出了对转移函数的高阶极点的低阶模拟,并利用Padé逼近式的显式表示计算出逼近函数。In this paper, the IIR digital filter is designed adaptively using Padé approximants. The basic idea of the design is introduced. Then the transfer function which has poles of higher order is studied, and for the classical approximate function, the transfer function which has simple poles is discussed. According to the convergence of rows of the Padé approximants, poles is distributed adaptively. Using Padé approximation, the lower-order analog of the transfer function is achieved, and some results are calculated.

关 键 词：重极点 PADÉ逼近 IIR数字滤波器 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]