模拟有源滤波器设计的matlab实现.doc

模拟有源滤波器设计的MATLAB实现

摘  要

本文阐述了滤波器的基本概念，介绍了模拟有源滤波器的设计原理和逼近理论。其中包括巴特沃思逼近、切比雪夫I型逼近、切比雪夫Ⅱ型逼近、椭圆函数逼近和贝塞尔逼近。并研究了模拟有源滤波器的设计流程及性能测试。
综合了传统的硬件设计方法与软件编程技术,由MATLAB仿真出了各种滤波器逼近技术的幅频特性曲线并进行了实例分析。对巴特沃思滤波器实例的研究仿真，由程序快速的得到了最小阶数和截止频率，取代了传统繁复的计算；方便的实现了由模拟低通滤波器向高通、低通和带阻滤波器的转换；对四运放复杂电路进行了设计仿真，通过求取其不同点的输出传递函数，模拟了二阶低通、高通和带通滤波器的响应曲线。得到了较好的仿真结果。

关键词：模拟有源滤波器，逼近理论，最小阶数选择，MATLAB程序设计

 
 
ABSTRACT

This article shows Design of Analog and Active Filter Based on MATLAB.It starts by covering the fundamentals of filters .And then introduces the design principle of analog and active filter, the choice of the minimum order, the performance testing of the analogy filter and the theory of approximation, goes on to introduce the basic types like Butterworth, Chebyshev I, Chebyshev Ⅱ, Ellipse and Bessel filter, and then guides the reader through the design process for analog and active filters.
It synthesizes the conventional method and MATLAB program means, studying how to carry out an analog filter with MATLAB. This text includes numerous examples of the magnitude curve. We can easily carry out a low pass, high pass, band pass, band stop filter and change parameters such as pass band ripple and stop band attenuation as long as changing certain program. It largely simplifies the design of analog filter.

Keywords: Analog and Active Filter，Theory of Approximation, The Choice of the minimum order，MATLAB program design

 
 
目  录

引言……………………………………………………………………………1
第1章  滤波器的基本概念…………………………………………………3
1.1 滤波原理.................................................3
1.2 滤波器的分类.............................................4
第2章 模拟有源滤波器的设计原理…………………………………………6
2.1信号无失真传输的条件.......................................6
2.2 理想滤波器的特性..........................................8
2.3 模拟有源滤波器传递函数设计原理.............................9
2.3.1 设计步骤.............................................11
2.3.2 设计函数.............................................11
2.4 滤波器最小阶数选择.......................................12
2.4.1 最小阶数选择原理......................................12
2.4.2 最小阶数选择函数......................................13
2.5 频率变换................................................15
2.5.1 低通——低通变换......................................15
2.5.2 低通——高通变换......................................16
2.5.3 低通——带通变换......................................16
2.5.4 低通——带阻变换......................................17
2.5.5 频率变换工具函数......................................17
2.6 模拟滤波器的性能测试......................................19
第3章 模拟有源滤波器的逼近理论……………………………………… 21
3.1巴特沃思逼近.............................................21
3.1.1巴特沃思滤波器........................................21
3.1.2应用实例.............................................23
3.2 Chebyshev I型逼近.........................................25
3.2.1 Chebyshev I型滤波器....................................26
3.2.2应用实例.............................................28
3.3 Chebyshev II型逼近........................................33
3.3.1 ChebyshevII型滤波器...................................33
3.3.2应用实例.............................................34
3.4椭圆函数逼近.............................................36
3.4.1椭圆函数滤波器........................................36
3.4.2应用实例.............................................37
3.5贝塞尔逼近...............................................40
3.5.1贝塞尔滤波器..........................................40
3.5.2应用实例.............................................41
第4章 设计举例…………………………………………………………….43
   4.1有源一阶滤波电路.................................... ......43
4.1.1 一阶滤波电路...................... ............ .... ..43
4.1.2 应用实例............................................ .44
   4.2双二阶滤波电路.................................... ...... .45
     4.2.1双二阶电路.................................... ...... .45
     4.2.2应用实例.................................. .......... .46
4.3低通和高通滤波器.................................... .... .50
     4.3.1 二阶低通滤波器...................... ............ .... 50
     4.3.2 二阶高通滤波器...................... .....  ...... ... 51
结论…………………………………………………………………………53
致谢…………………………………………………………………………54
参考文献……………………………………………………………………55