文档介绍：基于MATLAB的IIR数字滤波器的设计与仿真
内容摘要:数字滤波器在数字信号处理中起着非常重要的作用,用于信号的过滤、检测与参数的估计等方面,是使用最为广泛的一种线性系统。实现数字滤波器的方法有两种,一是采用计算机软件进行,就是把所要完成的工作通过程序让计算机来实现;二是设计专用的数字处理硬件。这里我们用到的是第一种方法即是用MATLAB提供的信号处理工具箱来实现数字滤波器。本文首先介绍IIR数字滤波器及其传递函数,然后介绍了MATLAB的相关知识并阐述了基于MATLAB的三种实现手段:基于模拟原型的设计、直接设计法、通用Butterworth设计方法。文中着重介绍了模拟原型各步骤:模拟滤波器设计、频带变换、离散化处理。这些设计方法为数字滤波器设计带来全新的实现手段,设计快捷方便,仿真波形直观。
关键词:数字滤波器 IIR数字滤波器 MATLAB 信号处理工具箱
IIR digital filter design and simulation based on MATLAB
Abstract: Digital filter plays an important role in the digital signal processing, uses in the signal filtration, examination and parameter estimation aspects and so on, It is one kind of the most widely used linear are two methods to Realize the digital filter: first, running it by puter software is the work which plete through the procedure lets puter realize; Second, designning the special-purpose digital processing hardware. Here the first method we used is the signal processing toolbox which provides with MATLAB to realize the digital filter. This article firstly introduces the IIR digit filter and its transfer function ,then introduces the related knowledge about MATLAB and describes three means of achieving based on MATLAB: the design based on simulation prototype、direct design、general Butterworth design. the article focuses on the introduction of simulation prototype steps: Analog filter design、band changing、discretization processing. These design methods bring a new means of achieving for digital filter design, the design is quickly and convenient, the simulation profile is direct-viewing.
Keywords: Digital filter IIR digital filter MATLAB Signal Processing Toolbox
目录
前言 1
1 数字滤波器 1
数字滤波器简介 1
数字滤波器分类及传递函数 1
2 MATLAB简介及IIR的主要实现方法 2
MATLAB简介 2
IIR数字滤波器设计 3
IIR滤波器的特点 3
IIR数字滤波器的设计 3
3 基于模拟原型的设计法 3
模拟滤波器的设计 4
巴特沃斯(Butterworth)模拟低通滤波器的设计 5
切比雪夫(Chebyshev)模拟低通滤波器的设计 7
频带变换 8
频带变换原理 9
MATLAB设计实例 10
离散化 12
脉冲响应不变变换法变换原理 12