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1、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
2、求取其不同点的输出传递函数,模拟了二阶低通、高通、带通和带阻滤波器的幅频特性曲线并得到了较好的仿真结果。关键词:模拟有源滤波器;逼近理论;幅频特性;MATLAB程序设计3ABSTRACTThispaperdescribesthebasicconceptsoffiltersintroducedanalogactivefilterdesignprinciplesandapproximationtheory.IncludingButterworthapproximation,ChebyshevtypeIapproximation,Cheb
3、yshevⅡtypeapproximation,ellipticfunctionapproximationandBezierapproximation.Thefirstauthorstudiedtheanalogactivefilterdesignprocessandperformancetesting.Combinesthetraditionalhardwaredesignmethodsandsoftwareprogrammingtechniques,theMATLABsimulationofavarietyoffilterapp
4、roximationtechniqueofamplitude-frequencycharacteristiccurveandanillustrativeexample.Butterworthfilterinstanceonsimulationstudies,bytheprogramtoquicklygettheminimumorderandthecutofffrequency,replacingthetraditionalcomplexcalculations;convenientlyachievedbytheanaloglow-p
5、assfiltertothehigh-pass,low-passandband-stopfiltertheconversion;complexonquadopampcircuitdesignsimulation,throughitsdifferentpointsstrikeoutputtransferfunctiontosimulatethesecond-orderlow-pass,highpass,bandpassandband-stopfilterfrequencycharacteristiccurveandgetbetters
6、imulationresults.Keywords:AnalogandActiveFilter;TheoryofApproximation,Amplitude-frequencycharacteristics,MATLABprogramdesignCompiling and organizing dataAfter you have established the purpose of the report, you need to compile and organize the information needed to sup
7、port it. The gathering of information may have given you a lot of materials, but you need to be a firm editor and retain only the essential data and throw out the rest.Consider your readers, and think about how much background information they will 3need.Writing the re
8、portA report consists of five parts: title, introduction, findings, conclusion and recommendations.1. TitleThis shoul