中文题目基于Matlab的IIR数字滤波器设计及其应用仿真英文题目DesignandapplicationsimulationofIIRdigitalfilterbasedonMatlab摘要在经典滤波器采用的电路中,若要达到较高的精度,是非常困难的，通常需要大量的元器件、并且模型复杂、结构庞大,并且还不一定能满足预期的技术指标。随着利用计算机技术的不断发展，滤波器设计的研究不断加深,诞生了一种新的模拟器类型数字滤波器，传统的数字滤波器，通常使用脉冲响应不变法进行设计。但是这种设计方法运算量大，过程繁杂，不便与灵活的修改参数。若要更加快捷地编制出适合应用要求的未给定参数IIR数字滤波器，则要求需要使用更加高级和优化的算法，比如调取Matlab信号处理工具箱中提供的接口。本文的研究内容包含了以下几个方面：1、对以matlab为基础的数字滤波器，进行了整体设计分析，开展了改善和对比。2、比较了四种滤波器设计方法，即巴特沃斯法、切比雪夫Ⅰ、切比雪夫Ⅱ、椭圆法。3、分别设计比对了高通、低通、带通、带阻滤波器。4、对研究成果进行了总结和展望。通过本文的研究可以看出，通过Matlab进行数字滤波器的设计，都能够获得比传统的设计方法更好的效果，在工作效率和计算量上都有显著的提升。关键词：数字滤波器，IIR，MATLAB，数字信号处理AbstractInthecircuitusedbytheclassicalfilter,itisverydifficulttoachievehighprecision.Itusuallyrequiresalargenumberofcomponents,andthemodeliscomplexandthestructureishuge,anditcannotmeettheexpectedtechnicalspecifications.Withthecontinuousdevelopmentofcomputertechnology,theresearchoffilterdesignhasbeendeepened.Anewtypeofanalogdigitalfilterforsimulatorisborn.Thetraditionaldigitalfilterusuallyusesimpulseresponseinvariancetodesign.However,thisdesignmethodhaslargeamountofcomputationandcomplicatedprocess,anditisinconvenientandflexibletomodifyparameters.TofacilitatethedesignofIIRdigitalfiltersthatmeettheapplicationrequirementsofungivenparameters,weneedsomebetterqualityalgorithms,suchascallingtheinterfacesprovidedintheMATLABsignalprocessingtoolbox.Thefollowingresearchiscarriedoutinthispaper.1,westudiedthedesignofdigitalfiltersbasedonMatlab,andmadesomeimprovementsanddiscussions.2,comparefourfilterdesignmethods,namely,ButterworthFa,ChebyshevI,ChebyshevII,ellipse.3,designhighways,lowpass,band-passandbandstopfiltersrespectively.4.Theresearchresultsaresummarizedandprospected.Throughthestudyofthispaper,wecanseethatthedesignofdigitalfiltersthroughMatlabcanachievebetterresultsthanthetraditionaldesignmethods,andhasasignificantimprovementinworkefficiencyandcomputationalcomplexity.Keywords:digitalfilter，IIR，MATLAB，DSP目录第1章引言.....................................................................................................................11.1研究背景和意义.................................................................................................11.2研究现状.............................................................................................................11.3主要内容和工作安排.........................................................................................2第2章MATLAB简介...................................................................................................32.1Matlab简介.........................................................................................................32.2Matlab的发展及现状.........................................................................................32.3数字信号处理工具箱.........................................................................................42.4本章小结.......................................
