基于matlab的FIR数字滤波器设计

四川师范大学成都学院
                           

摘 要
　　　数字滤波器可以用软件或设计专用的数字处理硬件两种方式来实现，本文主要研究在MATLAB环境下，FIR数字滤波器的几种典型设计方法，并且分别对其进行仿真实现。
　　　对于FIR数字滤波器的设计：本文分别用了窗函数设计法、最优等波动设计法、约束最小二乘法设计法、任意响应滤波器设计方法设计FIR滤波器。其中窗函数设计法重点在于选择某种恰当的窗函数和一种合适的理想滤波器，设计方法比较简便；最优等波动法解决了窗口法设计技术精度的困难，并使误差均匀分布；约束最小二乘法设计法使用了平方误差最小化的技术；而任意响应滤波器设计中可以设计任意复杂响应的FIR滤波器。各种设计方法都有利有弊，在实际设计中，可以通过设计要求来选择合适的设计FIR滤波器方法。
　　　
　　　关键词: 数字滤波器；模拟滤波器；脉冲响应；双线性变换；幅频特性
Abstract
　　　The digital filter may use the software or the design special-purpose digital processing hardware two ways realize, This article main research under MATLAB environment, FIR digital wave filter several model design method, And separately carries on the simulation experiment to it.
　　　Design of FIR digital wave filter:Separately with window law, most excellent to fluctuate law of designing, restrain least square method from design law, wanton to respond design method of the wave filter design FIR wave filter.Among them window law lies in with emphasis chooses some kind of appropriate window law and one kind of appropriate ideal filter, The design method quite is simple; The most excellent fluctuate law has solved the window law design technology precision difficulty, And causes the erroneous uniform distribution; The restraint least squares method design law has used the square erroneous minimum technology; and wanton can design wanton complicated FIR wave filter that responded while responding the wave filter design. Each kind of design method all advantages are accompanied by disadvantages, In actual design,May choose the appropriate design FIR filter method through the design request.
　　　
Key words：Digital filter；Analog filter； The pulse is responded；
　　　Pair is varied linearly；A characteristic frequently
目 录
摘 要 II
Abstract III
目 录 IV
第1章 概述 1
1.1 课题研究的目的和意义 1
1.2 国内外发展现状 1
1.3 本文的研究工作 2
第2章 MATLAB简介 3
2.1 MATLAB系统组成 3
2.2 MATLAB仿真简介 5
2.3 MATLAB 的M文件 6
第3章 数字滤波器 8
3.1 数字滤波器的分类 8
3.2 数字滤波器的设计简介 10
3.3 FIR滤波器特点 11
第4章FIR滤波器的设计 14
4.1 窗函数法设计FIR滤波器 14
4.2 最优等波动法设计FIR滤波器 23
4.3 约束最小二乘法设计FIR滤波器 26
4.4 任意响应法设计FIR滤波器 28
4.5 FIR滤波器设计实例 29
结 论 32
参考文献 33
致 谢 34
附 录 35