极点半径受限的ⅡR数字滤波器设计新算法  

A New Algorithm for Design of Pole-radius Constrained Infinite Impulse Response Digital Filters

作　　者：赖春露 姚统 王路 LAI Chunlu;YAO Tong;WANG Lu(School of Information Science and Engineering,Harbin Institute of Technology(Weihai),Weihai 264209,Shandong,China;SDU-ANU Joint Science College,Shandong University(Weihai),Weihai 264209,Shangdong,China)

机构地区：[1]哈尔滨工业大学(威海)信息科学与工程学院,山东威海264209 [2]山东大学(威海)山东大学澳国立联合理学院,山东威海264209

出　　处：《实验室研究与探索》2022年第8期39-44,共6页Research and Exploration In Laboratory

基　　金：国家自然科学基金项目(61573123);教育部产学合作协同育人项目(202002018016)。

摘　　要：数字滤波器设计是数字信号处理的一项基本且重要的研究内容。针对最大极点半径受限的无限脉冲响应(ⅡR)数字滤波器设计,提出一个新算法,在最大极点半径小于给定值的前提下,最小化滤波器的最大幅频响应误差。通过低通和带通滤波器及全带微分器设计实例,与现有设计方法进行了比较。实验结果表明,以这种算法得到的滤波器和微分器其最大幅频响应误差小于对比方法,均方根幅频响应误差也小于大多数对比方法。Design of digital filters is an important research topic in digital signal processing.In many applications,infinite impulse response(ⅡR)filters are not only required to be stable,but also to have certain stability margin that can be characterized by the maximum pole radius of the filter.This paper considers the pole-radius constrained Chebyshev design of IIR filters and presents a new algorithm to minimize the maximum magnitude response error of the filter under the pole-radius constraint.Through design examples of low-pass and band-pass digital filters and full-band digital differentiators,the proposed algorithm is compared with several existing design methods.Experimental results demonstrate that the proposed algorithm has obtained obviously smaller maximum magnitude-response error than all competitive methods,and smaller root mean squared magnitude-response error than most of the competitive methods.

关 键 词：数字信号处理 数字滤波器 数字微分器 无限脉冲响应 频率响应 幅频响应 

分 类 号：TN79[电子电信—电路与系统]