基于matlab的FIR数字滤波器设计及其软件实现

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摘要在这个具有挑战性的时代,把计算机充分运用到教学及工程运算中,虽然具有重要的意义,而随着计算机技术的发展,计算机软件在工程设计领域应用越来越广。本设计研究是基于MATLAB的FIR数字滤波器的设计,是基于应用计算机软件编程。首先了解滤波器的基本工作原理,针对FIR滤波器,有各种不同的方法。FIR滤波器一般要求信号具有线性相位,同时由于脉冲响应无限长,因此具有永远稳定的特性。根据这个特点,。本文主要对FIR滤波器采用了窗函数法,最优设计法,最小二乘设计法,升余弦函数设计法和任意响应设计法来设计FIR滤波器,同时,还对滤波器进行阶数评估。滤波是信号处理中最基本有极为重要的技术,利用滤波器技术可以从复杂的信号中提取出所需要的信号,抑制不需要的信号。绝大多数传感器输出的信号,在使用过程中,都必须进行滤波,所以滤波器是具有一定传输选择特性的,对信号进行加工处理的装置,它允许输入信号中的一些成分通过,抑制或衰减另一些成分。其功能是将输入信号变换为人们所需要的输入信号。本设计主要给出了FIR数字滤波器的基本特性和设计方法。关键词:MATLAB特性FIR滤波器设计基于matlab的FIR数字滤波器设计及其软件实现IIAbstractInthischallengingera,thefulluseofcomputerstoteachingandengineeringoperations,althoughofgreatsignificance,andwiththedevelopmentofcomputertechnology,computersoftwareinengineeringdesignapplicationsmorewidely.ThedesignstudyisbasedonMATLABforFIRdigitalfilterdesign,isbasedontheapplicationofcomputersoftwareprogramming.FirstunderstandthebasicworkingprincipleofthefilterforFIRfilters,avarietyofdifferentways.GeneralrequirementsforFIRfilterswithlinearphasesignals,andbecauseofinfiniteimpulseresponse,soithasalwaysstablecharacteristics.Accordingtothisfeature.Inthispaper,FIRfiltersusedonthewindowfunctionmethod,optimaldesignmethod,leastsquaresdesignmethod,designraisedcosinefunctionanddesignmethodtodesignarbitraryresponseFIRfilters,itisalsotheorderofthefilterevaluation.Signalprocessingfilteristhemostbasicthereisaveryimportanttechnology,theuseoftechnologycanfilterthesignalfromthecomplexbytheneedtoextractthesignal,tosuppressunwantedsignals.Mostofthesensoroutputsignal,inthecourse,mustbefiltered,sothefilterischosenwithacertaintransmissioncharacteristics,thesignalprocessingdevice,whichallowssomecomponentsoftheinputsignalthroughtheinhibitionorattenuationotheringredients.Itsfunctionistotransformtheinputsignalisneededforpeopletoinputsignal基于matlab的FIR数字滤波器设计及其软件实现III目录摘要...............................................................................................................................................IAbstract.......................................................................................................................................II第一章绪论.............................................................................................................................11.1数字滤波器定义..........................................................................................................11.2数字滤波器的分类.........................................................................................................11.3实际滤波器的设计指标...................................................................................................21.4几种常见的特殊滤波器.................................................................................................2第二章FIR滤波器特性.............................................................................................................32.1FIR滤波器简介..............................................................................................................32.2FIR滤波器的线性相位特性...........................................................................................32.2.1FIR滤波器的第一类线性相位................................................................................42.2.2FIR滤波器的第二类线性相位................................................................................62.2.3线性相位FIR滤波器的零点特性...........................................................................8第三章FIR滤波器的MATLAB设计.............................................................................93.1用窗函数法设计FIR数字滤波器.................................................................................93.1.1FIR数字滤波器窗函数设计法........................................................................93.1.2加窗的线性相位FIR数字滤波器设计函数fir1和fir2............................123.2FIR滤波器的最优设计法............................................................................................153.2.1firs函数..........................................................................................................153.2.2remez函数........................................................................................................163.3FIR滤波器最小二乘设计法........................................................................................173.3.1fircls函数........................................................................................................173.3.2fircls函数....................................................................................................193.4FIR滤波器升余弦函数设计法....................................................................................203.5FIR滤波器的任意响应设计法....................................................................................21第四章FIR滤波器阶数估计.............................................................................................244.1kaiserord函数............................................................................................................244.2remezord函数............................................................................................................25第五章小结..........................................................................................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