【第6章】无限脉冲响应数字滤波器的设计解读ppt课件.ppt
0110IIR:( )1FIR:( )( )MrrrNkkkNnnb zH za zH zh n z )(| )(|)( jQjjeeHeH 00()()20lg;20lg()()psjjpsjjH eH edBdBH eH e20lg();20lg()psjjpsH edBH edB 2222( 0)( 0)10lg;10lg()()aapsasapHjHjHjHj 2210lg() ;10lg()papsasHjHj 1()220lg()3acacHjHjdB 221()1()aNcHj 21( )()1()aaNcHs Hssj 1121()222( 1)()kjNNkccsje 10( )()NcaNkkHsss 31543133221320;jccjcjccjcessesesses 32233( )()()()cajjcccHsssese 101( )()aNkcckccsHsjss 式式中中: :101( )()aNkkHppp 121()22,0,1,1kjNkpekN NNNappbpbbpH 1110.1)(/1021()10papNc /1021()10saNsc /10/10101()101psapNas /10/10101/,101psaspspspak lglgspspkN 110.10.122(101),(101)psaaNNcpcs 0.10.11010.024210122.42lg0.02424.255lg2.4psaspassppkffNN 3455012675534jjjjjpepepepepe 401( )()akkHppp 121()22,0,1,1kjNkpekN 5432432101( )aHppb pb pb pb pb skradNpcp/2755. 52)110(211 . 0 55423324543210( )cacccccHssbsbsbsbsb u切比雪夫滤波器有两种形式：切比雪夫滤波器有两种形式：切比雪夫切比雪夫I型和型和切比雪夫切比雪夫II型型.u切比雪夫切比雪夫I型振幅特性在通带内等波纹，在阻型振幅特性在通带内等波纹，在阻带内单调下降带内单调下降.u切比雪夫切比雪夫II型振幅特性在通带内单调下降，在型振幅特性在通带内单调下降，在阻带内等波纹阻带内等波纹.u在相同的阶数下，切比雪夫滤波器比巴特沃斯在相同的阶数下，切比雪夫滤波器比巴特沃斯滤波器有较窄的过渡带滤波器有较窄的过渡带.22221()()1()aNpAHjC cos(arccos )1( )()1NNxxCxch N Archxx 2max2min()10lg()AA 220.110lg(1)101 22maxmin21()1,()1AA 2221()1()ssNPAC 1/ spss 令令)(1)(112ssArchAArchN 1)(11)()(2 sssNAArchNchC 1)(1112 spsAArchNch )(1)(11)(21)(222ccNpcccNcArchNchCCA )1(1 ArchNchpc 21sin()2,1,2,3,21cos()2ipipichNiNichN 22222211( )1iippArshNshsh 111)(21);(2121111 其中：其中：NNNNba11( )()aNiiHpcpp 111( )2()aNNiiHppp 11( )2()NpaNNipiHssp 221110lg10lg()()psspAA 1,spsp 222222111()1()()()NpNspsCCAA0.1222220.12222101()1cos ( arccos1)1101()1()psNpNssCnCch N Arch 11()()sArch kNArch 0.1120.1101()101spskch N Arch 令令0.1101p 2)12(cos2)12(sinNkjchNkchpk NiiNapppH11)(21)( pspaasHsH /| )()(0.1,21,460,2ppppspssdBfdBf 0.1110.10.10.01101(6553)65534.6(4)101 51011010.1526sppaaaArchkNArchN 5(5 1)11( )0.1526 2()aiiHppp 2)12(cos2)12(sinNkjchNkchpk /726142714( )( )1 (1.0158 10 )(6.2788 104.2459 10 )1 1.6437 102.2595 10paap sH sH psssss 221( )2.442(0.5389)(0.33311.1949)1 0.87200.6359aHpppppp 1 1/()()|H jG j 1,0.5pspsccffff11,2,3,15pspssdBdB 0.10.1321010.182101lg12.473( )lg221pssspsppspspkkNNG pppp 33223( )( )222cpcccscpsH sG psssf 其其中中：112220/,/,/,sssslluuluBBBB 220 2201upul 220qpq 220pjpj 22()( )()()luulluspulsspH sG ps 121220,sslssluuluBBBB 22222010211,sspssss01201221000/ ,32830/ ,21200/15,2200/5,4.15,6psssssradsdBradsradsdBBrads 22222010211,1.833,1.874sspssss 0.10.11010.18;1.833101lg2.833lgpssspsppspspkkNN 321( )221G pppp 2()( )( )luulspsH sG p 23652242330042224610000( )2(32)(4)(32)2SH ss B sBBsBBsBsBs 220 2220()ululssBpss 220( )()sBpsH sG p 12222210201,sspssss121122202905/ ,21105/2980/ ,21020/4.525,/5.525/4.9,/5.125LussLLuussssLuradsradsradsradsBBBB 22222220101,5.05,4.954.95,3,25sspssssspsdBdB 0.10.121010.05624.95101lg11.82( )lg21pssspsppspspkkNNG ppp 2204224004222224000( )()22(2)2s BpssH sG psssBBsBs ( )( )aaHsLT h t 1( )NiaiiAHsss )()()()()(: 1zHnhnththsHZTaaLT 采采样样流流程程脉脉冲冲响响应应不不变变法法的的设设计计1( )( )iNs taiih tAe u t 1( )()()iNs nTaiih nh nTAeu nT 11( )1iNis TiAH zez ( )( ) ()aanh th ttnT nnTsat snaaenThdtenTtthsH)( )()()( TseznnTsnnTsaazHenhenThsH | )()()()( ksaajkjHTjH)(1)( ksaajksHTsH)(1)( ksaezjksHTzHsT)(1| )( TwereereezTTjTjwsT . . /2 ).1()0( ).1( )0( 平平面面之之间间非非一一一一对对应应平平面面与与平平面面整整个个的的横横带带都都重重叠叠地地映映射射到到平平面面上上每每一一个个宽宽平平面面的的单单位位圆圆上上映映射射平平面面的的虚虚轴轴平平面面的的单单位位圆圆内内映映射射平平面面的的左左半半面面要要点点：zszTsrzjsrzs 20.5012( )0.64490.7079aHsss 0.32240.3224( )0.32240.77720.32240.7772ajjHssjsj 12(0.32240.772),(0.32240.7772)sjsj 1212,s Ts Tzeze26449. 03224. 0113224. 011)7772. 0cos(21)7772. 0sin(3224. 021)( zeTezzTezeAzHTTNiTsii11120.3276( )11.03280.247zHzzz 12120.0485( )11.93070.9375zHzzz 121tan()2TT 111212 1()21s Ts TesthTTTe 1s Tze 1122 121szTszTzsT 2 121tan12jjejTeT 模拟频率模拟频率 和数字频率和数字频率 之间的关系之间的关系1( ),aHssRC 11( )1THzez 22,21)1()()(211211112211 TTTTzzsHzHzzTsa 0.10.11010.30.0921.50.2101lg5.8846lgpssspsppspspkkNN 234561( )13.86377.46419.14167.46413.8637aHppppppp 62652 43 34 25665432( )3.86377.46419.14167.46413.86370.12092.7163.6913.1791.8250.1210.1209accccccH sssssssssssss 21tan,122tan0.10.65/ ,12tan0.151.019/ ,15ppPpssTTradsdBradsdB 1.5680.092lg5.3066lgsspsppspspkkNN 2220.2024( )(0.3960.5871)(1.0830.5871)(1.4800.5871)aH sssssss 111211 6121212( )( )0.0007378(1)(1 1.2680.7051)(1 1.0100.358)11 0.90440.2155azszH zH szzzzzzz 21tan2T dBdBpssppp15,655. 121tan23,155. 621tan2 10.163/ ,36.15510.604/ ,151.655ppssradsdBradsdB 1,3.71spsp 0.10.11010.18033.71101lg1.312lgpssspsppspspkkNN 21( )21G ppp 222( )2cccG sss 22221( )( )21caccsHsGsss 22110112tan1.453/2tan1.019/22112tan2/2tan0.650/221.217/0.434/uullssssululradsradsradsradsradsBrads 2103.348/2.348/4.608/1.498/2.804/ulssradsradsradsradsrads 222022.902sss 0.10.11010.1272.902101lg0.1271.9402lg2.902pssspsppkNN 21( )21G ppp 220()( )( )ulaspsHsG p 11221 221 20021211212224(1)(1)()2(1)()5.484.57.4816.3135.18806190.868(1)1zsululzszzpszzzzzzz 2412340.021(1 2)( )1 1.4912.8481.681.273zzH zzzzz 1122112tan0.615/2tan0.685/22112tan0.615/2tan0.685/22lluussssradsradsradsrads 222204.43413ssssdB 0.10.11010.2294.434101lg0.2290.991lg4.434pssspsppkNN ppG 11)(220220( )( )asBpssBpHsG ps 1121 221 202221 221 21200112122(1)4(1)(1)2(1)4(1)(1)0.969(1619)( )( )11.5690.939zszzBpzzsBzBpszzzzH zG pzz
