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IIR切比雪夫低通数字滤波器 (2).pdf
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数字信号处理
课程设计报告
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目录
摘要····················································································································· 2
第 1 章
1.1
1.2
1.3
1.4
第 2 章
2.1
2.2
2.3
任务书 ···································································································· 4
题目······························ · · ································ ··········· 4
目的······························ · · ································ ··········· 4
内容及要求 · ······························· ································ · 4
论文格式 · · · · · · · · · · · · · · · · · · · · · ·· · · · · · · · · · ······························· · ···· 4
数字滤波器的设计····················································································· 5
数字滤波器的概念 · ······························· ························ 5
数字滤波器的分类 · ······························· ························ 5
数字滤波器的设计要求 ······························· · ·················· 7
2.4 IIR 数字滤波器的设计 ·· · · · · · · · · · · · · · · · · · · · ·· · · · · · · · · · ······················ 8
2.4.1 IIR 数字滤波器的设计步骤 ··· · · · · · · · · · · · · · · · · · · · · ·· · · · · · · · ········· 8
2.4.2 双线性变换法设计 IIR 数字滤波器· · · · · · · · · · · · · · · · · · · · ·· · · · · · · · · · 9
第 3 章
3.1
切比雪夫低通数字滤波器的MATLAB 设计·················································· 13
设计步骤 · · · · · · · · · · · · · · · · · · · · · ·· · · · · · · · · · ······························· · ··· 13
3.2 MATLAB 程序 ········ · · · · · · · · · · · · · · · · · · · · ·· · · ······························· 13
总结··················································································································· 15
参考文献············································································································· 16
摘要
1
在现代通信系统中,由于信号中经常混有各种复杂成分,所以很多信号分析
都是基于滤波器而进行的,而数字滤波器是通过数值运算实现滤波,具有处理精
度高、稳定、灵活、不存在阻抗匹配问题,可以实现模拟滤波器无法实现的特殊
滤波功能。数字滤波器根据其冲激响应函数的时域特性,可分为两种,即无限长
冲激响应(IIR)数字滤波器和有限长冲激响应(FIR)数字滤波器。实现 IIR 滤波器的
阶次较低,所用的存储单元较少,效率高,精度高,而且能够保留一些模拟滤波
器的优良特性,因此使用很广。Matlab 软件以矩阵运算为基础,把计算、可视化
及程序设计有机融合到交互式工作环境中,并且为数字滤波的研究和使用提供了
一个直观、高效、便捷的利器。尤其是 Matlab 中的信号处理工具箱使各个领域
的研究人员可以直观方便地进行科学研究和工程使用。本文首先介绍了数字滤波
器的概念,分类以及设计要求。接着利用 MATLAB 函数语言编程,用信号处理图
形界面 FDATool来设计滤波器以及 Sptool 界面设计的方法,并用 FDATool模拟
IIR 数字滤波器处理信号。重点设计 Chebyshev I 型和 Chebyshev II 型数字低通滤
波器,并介绍最优化设计。
关键字:IIR;滤波器;FDATool;Sptool;Simulink
ABSTRACT
In modern communication systems, Because often mixed with various signal
complex components, So many signal analysis is based on filters, and the digital filter
is realized through numerical computation, digital filters filter with high precision,
stability and flexibility, don't exist, can realize the impedance matching simulating the
special filter cannot achieve filter function. Digital filter according to its impulse
response function and characteristics of the time can be divided into two kinds,
namely the infinite impulse response (IIR) digital filter and finite impulse response
(FIR digital filters). The order of realizing IIR filter is used, low and high efficiency
less storage unit, high precision, and can keep some simulation characteristics of filter,
so it is widely used. Matlab software based on matrix computation, the calculation,
visualization and program design of organic integration to interactive environment for
digital filter, and the research and application of provides an intuitive, efficient and
convenient tool. Especially in the Matlab signal processing to all areas of research
toolbox personnel can easily for scientific research and engineering application. This
paper introduces the concept of digital filter, classification and design requirements.
Then using MATLAB language programming, with functions of signal processing
FDATool graphical interface design of interface design and Sptool filter, and FDATool
analog signal processing IIR digital filter. Key design Chebyshev type I and II digital
Chebyshev lowpass filter, and introduces optimization design.
Keywords:IIR;Filter;FDATool;Sptool;Simulink
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