基于Matlab软件的IIR数字滤波辅助教学研究  

Research on Aided-teaching for theIIR Digital Filter Based on the Matlab Software

作　　者：姜恩华[1] 李素文[1] 周建芳[1] JIANG En-hua;LI Su-wen;ZHOU Jian-fang(School of Physics and Electronic Information,Huaibei Normal University,Huaibei 235000,Anhui,China)

机构地区：[1]淮北师范大学物理与电子信息学院,安徽淮北235000

出　　处：《兰州文理学院学报（自然科学版）》2022年第4期112-116,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金资助项目(11875031);安徽省教育厅省级示范课“数字信号处理A”项目;淮北师范大学重点教学研究项目(2020xjxyj023)。

摘　　要：以IIR数字滤波器设计及数字滤波网络基本结构为线索,探索如何借助Matlab软件有效开展IIR数字滤波器的课堂教学.IIR数字滤波器借助系统函数H(z)的分解方法,总结了IIR数字滤波器的基本网络结构.借助Matlab函数,采用脉冲响应不变法、双线性变换法和直接设计法完成IIR数字滤波器的设计,求得系统函数H(z).编写Matlab脚本程序,设计输入序列,通过IIR数字滤波器的直接型、级联型和并联型滤波网络,完成对输入序列的滤波.形象地展现了IIR滤波器的设计和滤波过程,使得教学线索清晰、教学内容完整饱满,具有较好的教学示范作用.Based on the design of IIR digital filter and the basic structure of its digital filter network,this paper explores how to effectively carry out the classroom teaching of IIR digital filter with Matlab software.IIR digital filters are usually represented by system function H(z).With the decomposition method of system function H(z),the basic network structure of IIR digital filters is summarized.With the help of Matlab function,the impulse response invariant method,bilinear transformation method and direct design method are used to design the IIR digital filter,and the system function H(z)is obtained.The Matlab script program is written and the input sequence is designed.Through the direct,cascade and parallel filtering network of IIR digital filter,the input sequence is filtered.It vividly shows the design and filtering process of IIR filter,which makes the teaching clue clear,the teaching content complete and full,and plays a good teaching demonstration role.

关 键 词：MATLAB软件 IIR数字滤波网络 系统函数H(z) 

分 类 号：TN911.72[电子电信—通信与信息系统]