线性常系数差分方程求解方法研究  

Solving Method of the Linear Constant Coefficient Difference Equation

作　　者：姜恩华[1] 李素文[1] 方振国[1] 周建芳[1] 邹峰[1] 

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：《吉林师范大学学报（自然科学版）》2017年第2期74-79,共6页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(41275027);安徽省高校自然科学研究重点项目(KJ2016A628);安徽省教育厅质量工程省级教学研究项目(2016jyxm0929)

摘　　要：借助IIR网络的直接型、级联型和并联型结构、FIR网络的直接型和级联型结构,推导了求解线性常系数差分方程的递推公式.对于有反馈项的线性常系数差分方程,借助IIR网络的级联型和并联型结构算法,求解线性常系数差分方程,以IIR低通滤波器为例,求解得到其输出y(n).对于无反馈项的线性常系数差分方程,借助FIR网络的直接型和级联型结构算法,求解无反馈项的线性常系数差分方程,以FIR低通滤波器为例,求解得到其输出y(n).在CCStudio v3.3集成开发环境下,采用C语言编写程序,验证了上述方法的正确性和有效性.With the aid of direct form, cascade form and parallel form of the IIR network and the direct formand cascade form. 5 the FIR network, the iterative formula which is used to solve the linear constant coefficient difference equation deduced. For solution of linear constant coefficient difference equations with feedback, the linear constant coefficient difference equations is solved by the cascade form and parallel form algorithm of the IIR network, and its output y （n） is obtained by example of the IIR low pass filter. For solution of linear constant coefficient difference equations without feedback, the linear constant coefficient difference equations is solved by the direct form and cascade form algorithm of the FIR network, its output y （n） is obtained by example of the FIR low pass filter. By the CCStudio v3.3 software development environment, the above solution is implemented by the C language program, and it is shown that this solution is accurate and effective.

关 键 词：IIR网络 FIR网络 直接型 级联型 并联型 

分 类 号：TN911.72[电子电信—通信与信息系统]