基于结构进化的无限冲激响应数字滤波器设计方法  

Structure evolution based design method for infinite impulse response digital filters

作　　者：毛军勇 陈立家[1] 刘名果 

机构地区：[1]河南大学物理与电子学院,河南开封475000

出　　处：《计算机应用》2015年第5期1250-1254,共5页journal of Computer Applications

基　　金：河南省教育厅科技公关项目(12A510002)

摘　　要：针对传统无限脉冲响应(IIR)数字滤波器设计方法存在传输函数在整个设计阶段可能不是最优的问题,提出一种基于遗传算法结构进化的IIR数字滤波器生成方法。该方法直接设计滤波器结构,无需设计传输函数。首先,随机建立一组滤波器结构生成指令序列(SGIS)。这些指令序列不仅能控制滤波器结构,也能表示滤波器结构。然后,对这些指令序列进行编码,将它们看作染色体;最后用遗传算法优化这些染色体,得到最优滤波器。理论分析和实验仿真表明,与传统基于遗传算法系数进化的IIR滤波器方法相比,基于遗传算法结构进化的IIR滤波器通带波纹缩小40.58%,过渡带宽度缩小87.62%,阻带最小衰减减少9.22%。Focused on the issue that the transfer function of Infinite Impulse Response（ IIR） digital filters is not optimal in the entire design process adopting traditional filter design methods, a structure evolution based design method for IIR digital filters using Genetic Algorithm（ GA） was proposed. The method evolved the filter structure directly without the preparation of the transfer function. Firstly, the Structure Generation Instruction Sequences（ SGIS） were generated randomly. Those SGIS not only controlled the process of structure generation but also represented those structures. Then, the SGIS were coded and seemed as chromosomes. Finally, GA was used to optimize those chromosomes to obtain a best filer. In the comparison experiments with the traditional coefficient evolution based design method for IIR digital filters using GA, the pass-band ripple of the proposed algorithm decreased by 40. 58%, the transition zone width of it decreased by 87. 62%, and the minimum stopband attenuation of it declined by 9. 22%.

关 键 词：无限冲激响应 数字滤波器 结构进化 遗传算法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]