基于MATLAB的IIR数字滤波器设计

内江师范学院本科毕业设计i目录1引言..........................................................................................................................................12数字滤波器概述......................................................................................................................22.1数字滤波器的基本概念................................................................................................22.2数字滤波器的发展概况................................................................................................22.3数字滤波器的分类........................................................................................................32.4数字滤波器的设计........................................................................................................42.4.1数字滤波器结构的表示方法.....................................................................................42.4.2数字滤波器的设计步骤.............................................................................................42.4.3数字滤波器的性能要求.............................................................................................53IIR数字滤波器的设计.............................................................................................................73.1IIR数字滤波器简介......................................................................................................73.2IIR数字滤波器主要技术指标......................................................................................73.3IIR数字滤波器的设计方法..........................................................................................83.3.1IIR数字滤波器设计方法简述...................................................................................83.3.2脉冲响应不变法设计IIR数字滤波器......................................................................92.3.3双线性变换法设计IIR数字滤波器........................................................................104IIR数字滤波器的MATLAB实现........................................................................................144.1MATLAB简介............................................................................................................144.2IIR数字滤波器的典型设计法....................................................................................144.2.1IIR数字滤波器的典型设计法的一般步骤.............................................................144.2.2利用典型设计法设计IIR数字滤波器....................................................................144.3IIR数字滤波器的直接设计法....................................................................................184.3.1方法概述...................................................................................................................184.3.2利用直接设计发设计IIR数字滤波器....................................................................184.4FDATool设计IIR数字滤波器...................................................................................214.4.1FDATool工具箱的介绍及使用...............................................................................214.4.2利用FDATool设计IIR数字滤波器.......................................................................214.5SIMULINK仿真IIR数字滤波器..............................................................................23内江师范学院本科毕业设计ii4.5.1SIMULINK仿真概述..............................................................................................234.5.2SIMULINK仿真实例..............................................................................................244.6本章总结......................................................................................................................25参考文献....................................................................................................................................26致谢...............................................................................................................错误!未定义书签。内江师范学院本科毕业设计iii摘要随着信息时代的不断发展，信号的处理显得越来越重要。由于大部分信号中都含有其它噪音，因此大多的信号分析都是在滤波器的基础之上进行研究的，而数字滤波器的滤波过程是通过算法来实现的，而且能实现模拟滤波器不能完成的特殊功能。根据其冲激响应函数的时域特性，数字滤波器可分为IIR数字滤波器和FIR数字滤波器两类。其中IIR数字滤波器具有低阶次、高效率、占用存储单元少、并且对模拟滤波器的部分优良特性还可以有所保留的特点，所以它在诸多方面都有比较广泛的应用。本文先对数字滤波器的发展背景、概念、类别和设计性能的要求进行了简要的叙述。其次又介绍了两种IIR数字滤波器常见的设计方法，然后进一步通过MATLAB编程的方式来实现了具体的IIR数字滤波器的设计，再通过FDATool工具箱以直接填入预设滤波器参数的方式快速得到了所需的IIR数字滤波器。最后通过在Simulink中导入FDATool所设定滤波器的方式进行了整个滤波过程的仿真。关键词：IIR数字滤波器；MATLAB；FDATool；Simulink内江师范学院本科毕业设计ivAbstractSignalprocessingisbecomingmoreandmoreimportantwiththecontinuousdevelopmentoftheinformationage.Sincemostofthesignalcontainothernoise,thesignalanalysisarestudiedbasedonthefilter,andthefilteringprocessofdigitalfilterisachievedbythealgorithm,andcanrealizetheanalogfiltercannotbecompletedspecialfunction.Accordingtoitstime-domainimpulseresponsefunctioncharacteristics,thedigitalfiltercanbedividedintoIIRdigitalfiltersandFIRdigitalfilter.IIRdigitalfilterwhichhaslowtimes,highefficiency,takinguplessmemoryunit,andispartoftheexcellentcharacteristicsoftheanalogfiltercanalsohavereservationsaboutthecharacteristics,soinmanyrespectsithasarelativelywiderangeofapplications.Thispaperarebrieflydescribedaboutthebackground,concepts,categories,anddesignperformancerequirementsofthedigitalfilteratfirst.AndsecondlydescribestwodesignmethodaboutIIRdigitalfilter,andthenfur