[电子信息精品] iir数字滤波器设计毕业论文

毕业论文（设计）论文题目IIR数字滤波器设计及其MATLAB实现姓名学号学院理学院专业信息与计算科学指导教师职称教授中国二O一一年六月大学学士学位论文（设计）开题报告A1A0A2A3IIR数字滤波器及其MATLAB实现A1A0A4A5老师指定A7A6A8A2A10A9A12息与计算科学A7A11A14A13A15A16A8A2A18A3教授A19A20A21A22运用各种方法设计IIR数字滤波器并用MATLAB实现。A19A20A23A2412011年2月25日3月15日查找相关资料并学习研究22011年3月16日4月02日完成主要内容中1，2两部分32011年4月03日5月20日完成主要内容中3，4部分42011年5月21日5月30日完成论文初稿和修改，撰写毕业设计论文，打印成册。52011年6月1日6月10日准备毕业论文答辩A25A26A27A28A29本文从滤波原理开始介绍IIR滤波器的设计方法，介绍了IIR数字滤波器设计的一般过程，但主要介绍的是设计过程中模拟滤波器的设计方法，因为模拟滤波器的设计是设计IIR滤波器非常重要的一步，而且它的设计也比较成熟，比较切合实用，为了拓展IIR数字滤波器的设计方法，又介绍了另外两种方法，使得本文所介绍的方法又实用又全面A14A13A15A16A30A31A15A19A32A30A31A7A33A30A31A34A17A35A13A36A2A38A39A40A41目录IIRA37A42A43A44A45A46A47A42A43A44A45MATLABA48A491A50A511A52A53A541A55A561A57A58A59A60A61A62A63A64A60A61A62A63211A65A66A67A68A65A66A67A68212A69A70A71A72A73A70A71213A74A75A76A77A78A79A80A81A74A75A76A77A79A803131A82A83A84A85A86A87A88A89A83A84A85A863132A90A91A90A92A93A94A95A91A90A92A934133A96A97A98A99A96A974134A100A101A102A103A104A105A106A101A102A104A1054A107A108A109A110A111A112A113A114A115A116A110A111A112A113A115A116421A117A118A119A120A121A122A123A124A125A126A127A128A117A118A119A120A122A123A124A125A126A127622A129A130A131A132A133A134A135A136A137A138A139A140A129A130A131A132A134A135A136A137A138A13991A141A142A143A144A142A143A145A146A147A148A149A150A151A147A148A149A15092A152A153A154A155A153A154A156A157A158A159A160A161A162A158A159A160A1611123A163A164A165A166A167A168A169A170A171A172A163A164A165A166A168A169A170A17112A173A174A175A176A177A178A179A176A177A178A179A180A180A181A179A182A181A183A184A185A186A187A188A181A179A183A184A186A187A1811431A189A190A191A192A193A194A195A196A197A198A189A190A191A192A194A195A196A1971432A199A200A201A202A203A204A205A206A207A208A199A200A201A202A204A205A206A2071533A209A210A211A212A213A214A215A216A217A218A209A210A211A212A214A215A216A21717A219A220A221IIRA222A223A224A225A226A227A228A229A230A223A224A226A227A228A2291841A231A232A233A234A235A236A237A238A239A240A231A232A233A234A236A237A238A239IIRA241A242A243A244A245A243A2441842A246A247A248A249A250A246A247A248A249ZA251A252A253A254A251A252A253A254IIRA255A3A0A254A1A2A3A02043A4A5A6A7A5A6A7A63A63A33A7A8A33A9IIRA10A11A12A13A14A11A12A13A14221A68A15A16A17A18A19A20A21A22A23A24A15A16A17A18A20A21A22A23IIRA25A26A18A19A20A27A28A26A18A20A272211A81A29A30A31A32A34A35A36A37A38A39A40A41A42A43A44A45A36A29A30A32A34A35A36A40A41A42A43A45A36A45A36A46A46A47A36A48A47A49A37A38A392212A87A50A51A52A53A54A55A56A57A58A59A60A51A52A61A54A51A52A53A57A58A62A64A54A65A64A66A55A56A57A67A69A70A58A59A60A64A54A65A56A57A91A71A72A73A74A55A56A57A72A732313A92A75A76A77A78A79A80A82A83A84A85A86A88A77A78A79A80A82A76A77A78A83A84A93A90A78A89A94A95A96A84A94A85A86A88A97A95A96A78A98A98A99A78A100A99A101A79A80A82A99A102242A103A104A105A106A107A108A109A110A111A104A105A106A107A109A110IIRA107A108A112A113A114A115A116A108A112A114A11525A117A11826A119A120A121A122A121A12227IIRDIGITALFILTERDESIGNANDIMPEMENTATIONBYMATLAB1ABSTRACT1KEYWORD1A123A12428IIRA125A126A127A128A129A130A131A132A133MATLABA134A135A1361A137A13833A137IIR数字滤波器及其MATLAB实现摘要本文介绍了滤波器的滤波原理、IIR数字滤波器的设计及MATLAB工具箱进行IIR数字滤波器的设计。本文介绍了IIR数字滤波器的三种设计方法，即通过模拟滤波器设计IIR数字滤波器、脉冲响G5224G993G2476法和G2464G13459G5627G2476G6454法。主要介绍的是通过模拟滤波器G17728G6454设计IIR数字滤波器，因为现G3324模拟滤波器的设计比较成熟。关键字A139数字滤波器IIR数字滤波器MATLAB传递函数IIRDIGITALFILTERDESIGNANDIMPEMENTATIONBYMATLABABSTRACTG726THISARTICLEINTRODUCEDTHEDIGITALFILTER,THEIIRDIGITALFILTERDESIGNANDCARRYONTHEIIRDIGITALFILTERWITHTHEMATLABTOOLBOXTHISARTICLEINTRODUCEDTHREEDESIGNSMETHODTOCARRYONTHEIIRDIGITALFILTERTHATIS,THROUGHTHEDESIGNOFSIMULATIONFILTERTOCARRYONIIRDIGITALFILTER,THESAMEIMPULSERESPONSEMETHODANDBILINEARTRANSFORMMETHODTHEARTICLEINTRODUCEDMAINLYISTHEDESIGNOFSIMULATIONFILTERTOCARRYONIIRDIGITALFILTERFORTHEDESIGNOFSIMULATIONFILTERNOWISVERYMATUREKEYWORDDIGITALFILTERIIRDIGITALFILTERMATLAB引言所G16871数字滤波器，是指G17767G1849、G17767G1998G3355为数字G1461G2507，通过数G1552运算G3800理改G2476G17767G1849G1461G2507所G2559G20069G10587成分的相G4557比G1552，G6122G13785滤G19512G7588G1135G20069G10587成分的数字器G1226G6122程G5219。G11013数字G1068法器、G2164法器和G5322G7114G2345G1815G13464成。因G8504，数字滤波器的G8022G5577和和模拟滤波相G2528，G2494是G1461G2507的G5430G5347和实现滤波器的方法G993G2528。G8503因为数字滤波器通过数G1552运算实现滤波，所G1209数字滤波器G3800理G12946G5242G20652、G12295定、G1319G12227G4579、重G18339G17743、G9801G8975、G993G4396G3324G19471G6251G2317G18209G19394G20076，G2499G1209实现模拟滤波器G7092法实现的G10317G8542滤波G2163G14033。G3926G7536G3800理的是模拟G1461G2507，G2499通过A/DC和D/AC，G3324G1461G2507G5430G5347G990进行G2317G18209G17728G6454，G2528G7691G2499G1209使用数字滤波器G4557模拟G1461G2507进行滤波。G3数字滤波器一G16801G1998现G332460年G1207中G7411。G11013G1122G11017G4388计算G7438G6228G7427和G3835G16280模G19610成G11017G17347的G2469展，数字滤波器G5062G2499用计算G7438G17731G1226实现，也G2499用G3835G16280模G19610成数字G11840G1226实G7114实现。G3G3IIRA125A126A127A128A129A130A131A132A133MATLABA134A135A1362A137A13833A137G3G3数字滤波器是一G1022G12175G6967G7114G19400G13007G13491G708G6365G20056定的算法G15G4570G17767G1849G12175G6967G7114G19400G1461G2507G17728G6454为所G3G3要G8726的G17767G1998G12175G6967G7114G19400G1461G2507的G10317定G2163G14033G16025G13634G709。G5224用数字滤波器G3800理模拟G1461G2507G7114，G20330G1820G20047G4557G17767G1849模拟G1461G2507进行G19492G5114、G6289G7691和模数G17728G6454。数字滤波器G17767G1849G1461G2507的G6289G7691G10587G5224G3835G1122G15999G3800理G1461G2507G5114G4497的两G1505，其G20069G10587响G5224具G7389G1209G6289G7691G20069G10587为G19400G19560的G2620G7411重G3809G10317G5627，且G1209G6252G2484G20069G10587即G20G18G21G6289G7691G20069G10587G9869呈镜像G4557称。为得到模拟G1461G2507，数字滤波器G3800理的G17767G1998数字G1461G2507G20047经数模G17728G6454、平滑。数字滤波器具G7389G20652G12946G5242、G20652G2499靠G5627、G2499程控改G2476G10317G5627G6122G3809用、便G1122G19610成等优G9869。数字滤波器G3324语言G1461G2507G3800理、图像G1461G2507G3800理、医学生物G1461G2507G3800理G1209及其他G5224用领域都得到了广泛G5224用。G3第一章滤波器概论11滤波原理滤波器，顾名思义，其作用是G4557G17767G1849G1461G2507起到滤波作用。G4557图11所示的LSIG13007G13491，图11其G17767G1849G17767G1998关G13007是G726NHNXNYG70811G709若NY，NX的傅里叶G2476G6454G4396G3324，则G17767G1849G17767G1998的G20069域关G13007G5347G726JWJWJWEHEXEYG70812G709当G17767G1849G1461G2507NX通过滤波器G13007G13491NH后，其G17767G1998NY中G993G2559G7389WCW的G20069G10587成分，仅使W1,ARCCOSCOSH1,ARCCOSCOSHNNCNG708225G709当NG3835G1122G6122等G11221G7114，切比G19646G3839多项G5347的递G6524G1856G5347为G726211NNNCCCG708226G709切比G19646G3839滤波器的设计和G5064G10317G8791G7043滤波器一G7691，也分为三步。步骤一归一化平方G5145G20069响G5224函数G4570G20069G10587归一化，得G1998归一化的平方G5145G20069响G5224函数，即G72611222NCJGG708227G709IIRA8A9A10A11A12A13A14A15A17MATLABA18A19A2010A21A2233A21步骤G1120G726G8726和NG11013G70822G709得G726A25A262N21LG10CAG708228G7091101102N2PAC）（G708229G709ARCCOSCOSH110221022SASNHNCSG708230G709G11013G1122112N）（CA27所G1209G726110102PAG708231G709ARCCOSARCCOSSHAHNG708232G709步骤三G726确定SG因为JP，所G1209归一化的G17728G12239函数PG和PG之G12227G7261122JPCPGPGNG708233G709的极G9869KPG5224是分G8609等G1122零的根。分G8609又G2499G1209写成G7261ARCCOSCOSJJPNG708234G709定义G726ARCCOSJPG708235G709G7186然，G5224是G3809数，G120821JG708236G709经过G3809G7446的计算得G1998PGPG的极G9869，即G726COSH212COSSINH212SIN22PIPINKJNKPKG708237G709其中NK2,2,1LG11013G5347G708237G709G8726G1998切比G19646G3839滤波器的2NG1022极G9869，一G2334G4658G1122PG，另一G2334G4658G1122PG。当然G6238G5050G2334G17805平面极G9869G17183G1116PG，得G726NKKNPPPG1121G708238G709从而，G2499得到切比G19646G3839模拟滤波器的实际G17728G12239函数为G726IIRA28A29A30A32A36A37A38A39A40MATLABA41A42A4311A44A4533A44NKPKNNPSPPSPGSGP112G708239G709切比G19646G3839G265型的模拟低通滤波器G2499通过G48G68G87G79G68G69函数G70G75G72G69G79G68G83实现，该函数的G16855用G7696G5347为G726G3Z,P,KCHEB1APN,RPB,ACHEBY1N,RP,WN,FTYPE,SCHEBY1函数G2454数和BUTTER函数G2454数是一G7691的。切比G19646G3839G265型的模拟低通滤波器的阶数G2499通过G48G68G87G79G68G69函数G70G75G72G69G79G82G85G71实现，该函数的G16855用G7696G5347为G726G3N,WNCHEB1ORDWP,WS,RP,RS,SCHEB1ORD函数的用法和BUTTORD函数用法也是一G7691的。2切比雪夫型低通滤波器切比G19646G3839G266型低通滤波器的平方G5145G20069响G5224函数为G726G3G3G3G3G3G3122211CNCJGG3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G708G21G16G23G19G709G3其中是一G1022G4579G1122G20的G8503数，表示G19471G5114内G5145G1552波G13453G5785G1929G30函数CNC的G3为G726G31,ARCCOSCOSH1,ARCCOSCOSHNNCNG708241G709切比G19646G3839G266型低通滤波器也G2499通过G48G68G87G79G68G69函数G70G75G72G69G21G68G83实现，其G16855用G7696G5347为G726G3Z,P,KCHEB2APN,RSB,ACHEBY2N,RS,WN,FTYPE,S切比G19646G3839G266型低通滤波器的阶数也G2499通过G48G68G87G79G68G69函数G70G75G72G69G21G82G85G71实现，其G16855用G7696G5347为G726G3N,WNCHEB2ORDWP,WS,RP,RS,S设计G1042G13752G13484G2058的平方G5145G20069响G5224G7366G13459，滤波器的阶数分别为G21G15G23G15G25G15G27G3G3程G5219运行结G7536G3926下图所示IIRA46A47A48A49A50A51A52A53A54MATLABA55A56A5712A58A5933A58图22设计G1042G13753G13484G2058切比G19646G3839G266型低通模拟滤波器的平方G5145G20069响G5224G7366G13459，滤波器的阶数分别为G3G20G15G22G15G24，G26G3程G5219运行结G7536G3926下23椭圆低通滤波器的设计切比G19646G3839G265型滤波器G3324通G5114内呈现等G13453波G6403G14645，G3324G19471G5114内G1185是G2345G16855下G19489的。切比G19646G3839G266型模拟滤波器G3324G19471G5114内是等G13453波的，G3324通G5114内G2376是G2345G16855下G19489的。因G8504过G9205G5114G10317G5627G15441G7389G6564G20652，但是并G993理G5831。G7937G3290滤波器G14033G7368G3921G3332逼近理G5831的低通滤波器G10317G5627。它的平方G5145G20069响G5224函数为G726G3G3G3G3G3G3G311222NUJGG3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G3G708G21G16G23G21G709G3IIRA60A61A62A63A64A65A66A67A68MATLABA69A70A7113A72A7333A72G5347中2NU是G19609克比G7937G3290函数，是与通G5114衰减G7389关的G2454数，滤波器阶G8437N等G1122通G5114和G19471G5114内最G3835G9869和最G4579G9869的和。若G5062G11705通G5114的截止G20069G10587C，通G5114内最G3835衰减PA，G19471G5114的截止G20069G10587S即G19471G5114内最G4579衰减SA等G2454数G7114，则G2499G1209确定滤波器的阶数N和G13007数函数SG。G4570C和S的几何平G3355G15520作为G20069G10587的归一化的基准G20069G10587，即G726SC0G708243G709定义G20069G10587的选择G5627因数为两G1022截止G20069G10587之比G726SCG708244G709这G7114通G5114截止G20069G10587的归一化G1552和G19471G5114截止G20069G10587的归一化G1552分别为G7260CCG708245AG70910SSG708245BG709G3324G12090为归一化基准G20069G10587的G7477G1226下，通G5114、G19471G5114阶G1552归一化G20069G10587互为倒数。G1208G7264124120111121QG708246AG7091309050015155QQQQQ246BSAB10210246CPA10210246D那么G7937G3290滤波器的阶G8437NG2499表示为G726QBN1LG1116LG22G708247G709G120810，则归一化的G7937G3290低通滤波器的G13007G13491函数G2499G1209表示为G726MIIIICSBSASSDGSG12200G708248G709G5347G708248G709中的各G1022G2454数G3355G2499G11013G5062G11705G7477G1226G6524导。实际的G7937G3290低通滤波器的G13007G13491函数为G726IIRA74A75A76A77A78A79A80A81A82MATLABA83A84A8514A86A8733A860SGSGG708249G709G7937G3290低通滤波器G2499通过MATLAB函数ELLIPAP实现，该函数G16855用G7696G5347为G726Z,P,KELLIPAPN,RP,RSB,AELLIPN,RP,WN,FTYPE,S其中RS为G19471G5114G13453波，而ELLIP函数G2454数和G5064G10317G8791G7043滤波器中BUTTER函数G2454数一G7691。设计G1042G13754G13484G2058G7937G3290低通模拟滤波器的平方G5145G20069响G5224G7366G13459，滤波器的阶G8437分别为2,3,4,5程G5219运行结G7536G3926图第三章模拟高通、带通与带阻滤波器设计G11458前模拟G20652通、G5114通及G5114G19471滤波器的设计方法，都是G4570要设计的滤波器的G6228G7427指标，通过G7588种G20069G10587G17728G6454关G13007G17728G6454成模拟低通滤波器的G6228G7427指标，并依G6466这G1135设计指标设计G1998低通滤波器的G17728G12239函数，然后再依G6466G20069G10587G17728G6454关G13007G2476成要设计的滤波器的G17728G12239函数。G20652通、G5114通及G5114G19471滤波器的传递函数为SH，G5145G20069响G5224G10317G5627函数为JH，归一化G20069G10587为，P，且G3809G1552G2476G18339JQ，因G8504其相G5224归一化的G17728G12239函数、G5145G20069响G5224G10317G5627函数分别为,JHQH。和之G19400的关G13007F称为G20069G10587G2476G6454关G13007。31模拟高通滤波器的设计G11013G1122滤波器的G5145G20069G10317G5627都是G20069G10587的G1610函数，通过比较低通滤波器与G20652通滤波器的G5145G20069G10317G5627函数JHJG和的G7366G13459，G2499G1209得G1998G20652通滤波器的G20069G10587G17728G12239称低通滤波器的G20069G10587的数学表达G5347G7261IIRA88A89A90A91A92A93A94A95A96MATLABA97A98A9915A100A10133A100而通G5114与G19471G5114衰减SPAA,G1457持G993G2476，这G7691G4613G2499G1209设计G1998模拟低通滤波器的G17728G12239函数PG。G11013G1122G726PJJQ11G70831G709得G72611QGPGQHQPG70832G709又因为G726PPSJJQG70833G709所G1209，模拟G20652通滤波器的传递函数为G726SPPPGSHG70834G709G3324MATLAB中，使用LP2HP函数实现低通模拟原型滤波器至G20652通滤波器的G20069G10587G17728G6454。其G16855用G7696G5347G726BT,ATLP2HPB,A,WO；AT,BT,CT,DTLP2HPA,B,C,D其中BT,AT为G20652通滤波器传递函数的分G4388、分G8609向G18339；A,B为低通原型滤波器传递函数G13007数，AT,BT,CT,DT为G20652通滤波器状态方程的G13007数矩阵；A,B,C,D为低通原型滤波器状态方程的G13007数矩阵；WO为G20652通滤波器G7411望截止G20069G10587。设计G1042G13755设计一G10229阶切比G19646G3839I型G20652通滤波器，通G5114G13453波为10DB下G17805界G20069G10587为SRAD/400PI，并G13484G2058G7366G13459图程G5219运行结G7536G3926图所示32模拟带通滤波器的设计IIRA102A103A104A105A106A107A108A109A110MATLABA111A112A11316A114A11533A114模拟G5114通滤波器的4G1022G20069G10587G2454数SHHSLL,，其中HL,分别是通G5114的下G19492与G990G19492G20069G10587，SL是下G19471G5114的G990G19492G20069G10587，SH是G990G19471G5114的下G19492G20069G10587G20330G1820要G4570它作归一化G3800理。G1208通G5114G5114G4497为G726LHBWG70835G709并G1209通G5114G5114G4497为G2454考G20069G10587G4557轴作归一化G3800理，G7389BWSLSL36ABWSHSH36BBWLL36CBWHHG70836DG709G3324G1208G726HLLH2G70837G709为通G5114的中心G20069G10587，其归一化G1552为G726HLLH2G70838G709比较归一化的G5114通滤波器G5145G20069G10317G5627与低通滤波器G5145G20069G10317G5627G7366G13459函数，G2499G1209得G1998G5114通滤波器的G20069G10587与低通滤波器的G20069G10587的G17728G6454关G13007为G726PLHLH/2G70838G709G11013G11221LHA1161PA116所G1209G7389G72622LHG70839G709从而实现了G5114通滤波器与低通滤波器之G19400的G20069G10587G17728G6454。根G6466低通滤波器的G6228G7427指标SPSPAA,，G2499设计G1998低通滤波器的G17728G6454函数PG。G11013A117SSSSQQJQJQJJJPLHHLBWBWHLBWLHLHLH222222222/G708310G709IIRA118A119A120A121A122A123A124A125A126MATLABA127A128A12917A130A13133A130所G1209G726LHHLSSPPGSH2G708311G709G3324MATLAB中，使用LP2BP函数实现低通模拟原型滤波器至G5114通滤波器的G20069G10587G17728G6454，其G16855用G7696G5347为BT,ATLP2BPB,A,WO,BWAT,BT,CT,DTLP2BPA,B,C,D,WO,BW其中BW为G5114通滤波器G5114G4497。设计G1042G13756设计一G10225阶切比G19646G3839I型G5114通滤波器，通G5114G13453波为10DB，下G17805界G20069G10587为SRAD/200PI，G990G17805界G20069G10587为SRAD/1000PI，并G13484G2058其G5145G20069响G5224G7366G13459。程G5219运行结G7536G3926图33模拟带阻滤波器的设计模拟G5114G19471滤波器也G73894G1022G20069G10587G2454数，分别为SHHSLL,，其中HL,分别是通G5114的下G19492与G990G19492G20069G10587，SL是G19471G5114的下G19492G20069G10587，SH是G19471G5114的G990G19492G20069G10587。比较归一化的G19471G5114和低通滤波器G5145G20069G10317G5627函数G7366G13459，G2499G1209得G1998G5114G19471滤波器的G20069G10587与低通滤波器的G20069G10587的G17728G6454关G13007为G726PLHLH/2G708312G709G11013G11221LHA1321PA132所G1209G7389G72622LHG708313G709根G6466G708310G709G708311G709A133G2499G6524导G1998低通滤波器传递函数PPG中的与G5114G19471滤波器的传递函数SSH中的之G19400的G4557G5224关G13007为G726IIRA134A135A136A137A138A139A140A141A142MATLABA143A144A14518A146A14733A146HLLHSSP2G708314G709即G2499得到所要设计的G5114G19471滤波器的G17728G12239函数SHG726HLLHSSPPGSH2G708315G709G3324MATLAB中，使用LP2BS函数实现低通滤波器至G5114G19471滤波器的G20069G10587G17728G12239，G5114函数G16855用G7696G5347为G726BT,ATLP2BSB,A,WO,BWAT,BT,CT,DTLP2BSA,B,C,D,WO,BW其中BW为G5114通滤波器G5114G4497。设计G1042G13757设计一G10229阶切比G19646G3839I型G5114G19471滤波器，通G5114G13453波为10DB,下G17805界G20069G10587为SRAD/200PI，G990G17805界G20069G10587为SRAD/1000PI，并G13484G2058其G5145G20069响G5224G7366G13459。程G5219运行结G7536G3926图第四章IIR数字滤波器设计方法G3324本G12468，主要讨论两种IIR低通滤波器设计方法，基G1122冲激响G5224G993G2476法的IIR设计和基G1122G2464G13459G5627ZG2476G6454法的IIR设计G1209及数字G20652通、G5114通及G19471G5114IIR滤波器设计。41基于冲激响应不变法的IIR滤波器设计冲击响G5224G993G2476法的设计原理是使数字滤波器的G2345位G6289G7691响G5224G5219列NH，模仿模拟滤波器的冲激响G5224TG。G4570冲激响G5224TG进行等G19400G19560采G7691，使得数字滤波器的G2345位G6289G7691响G5224NH刚G3921等G1122TG的采G7691G1552，即G7260NSNTTNTTTGTGNHSG70841G709IIRA148A149A150A151A152A153A154A155A156MATLABA157A158A15919A160A16133A160其中的ST为采G7691G2620G7411。设ZH是数字滤波器的G13007G13491传递函数，从而G2499得到它是数字滤波器的G2345位G6289G7691响G5224函数NH的ZG2476G6454。模拟G1461G2507的拉普拉G7043G2476G6454与其采G7691G5219列ZG2476G6454的关G13007为G726KSEZJKSGTZHST1G70842G709G5347G70842G709的物理意义为G20330G1820G4570模拟滤波器的G13007G13491函数SG作G2620G7411的G5322拓，再经过映射G2476G6454得到数字滤波器的G13007G13491函数ZH。G20069G10587响G5224JWEH和模拟滤波器的G20069G10587响G5224JGG19400的关G13007为G726KSSJJKJGTEH1G70843G709其中ST假设模拟滤波器的G13007G13491传递函数SGG2494G7389G2345阶极G9869，且MN，G13007G13491传递函数G2499G1209用部分分G5347G5430G5347表示G726NKKKSSASG1G70844G709其拉普拉G7043G2476G6454脉冲响G5224TG为G7260001TTEATGNKTSKKG70845G709G4557TG进行等G19400G19560采G7691，G2499G1209得到数字滤波器的G2345位取G7691响G5224函数NH为G7260001NNEANHNKNTSKKG70846G709尽管通过冲激响G5224G993G2476法G8726取数字滤波器的G13007G13491函数比较方便，并具G7389良G3921的G7114域逼近G10317G5627，但是若SGG993是G5114G19492的，G6122是G6289G7691G20069G10587G993G20652，那么G3324JEH中G4570G2469生混G2484失真，数字滤波器的G20069G10587响G5224G993G14033重现模拟滤波器的G20069G10587响G5224。G2494G7389当模拟滤波器的G20069G10587响G5224G3324超过G6252G2484G20069G10587都的衰减很G3835G7114，混G2484失真才很G4579，这G7114G993G2476法设计的数字滤波器才G14033G9397G17287要G8726，这是冲激响G5224G993G2476法的一G1022严重缺G9869。设计G1042G13758设模拟低通G5064G10317G8791G7043滤波器，通G5114G13453波为DBRP1，通G5114G990G19492G16294G20069G10587PI20P，G19471G