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实验 8 设计切比雪夫 II 型无限冲击响应带通滤波器实验内容:用 fdatool 工具设计一个切比雪夫 II 型无限冲击响应带通滤波器。滤波器指标:归一化通带 边界频0.4、0.5,归一化阻带边界频率0.1、0.8,通带波纹ldB,最小阻带衰减100dB、lOOdB, 滤波器选用最低阶形式。注:在以下每个部分的测试中,都展示了两幅图,第一幅是option=stopband,第二幅是 option=passband.创建过程:首先在命令行中输入open fdatool,就会打开fdatool.m文件,之后运行fdatool.m文件,就可 以打开fdatool GUI界面,然后按照要求输入数值:Response type=bandpass;Design method=IIR, Chebyshev type 2;Filter order=minimum order;Option: match exactly=stopband/passband;Frequency specifications:Unit=Normalized;Wstop1=0.1; wpass1=0.4; wpass2=0.5; wstop2=0.8;Magnitude specifications:Unit=dB; Astop1=100; Apass=1; Astop2=100;这样,由于fdatool GUI功能的强大,切比雪夫2型滤波器就设计完成了。一开始我认为衰 减的dB值应该为负,所以在Astop1=-100, Astop2=-100;但是这时点击design filter会提示 让输入正值。我查看了滤波器的一下几个特性:Part 1 振幅谱nSiflrrSt Anelyi Tool - fuiiETlIedlfdc用Q Q XKJ刃ELI田出T j-Eral1 ho O S File Edit An al/sis Targets vie/i window Helpi Mgnffijdo 尺 0和2日 i;dB;iiCurrent Fiter htarmalioriaruciure: Irect-FormI.Second-Order SectfcnOrder10Secflons 5St*巾:Ve&Saurce:DesignedFit&-谄g凶.LoApasVH眇网55VBandpassBandstopDirrerencistcr-_ Desicr Melhod_RFIRChebyaher Type IEquriaphLoading filter. doneSpecify bderMrinium orderOpllCTlSMatcti eiadl?st邮阳胡-OcsiflfrSt Anelysis Tool - Imutiedlfda urts:rjcrniaized (Otoi)wpEEa2:wdop2wsiopl:Wp&S1:LUils: dBAstapl: ICCApa&s:1凸岀叩21C0二口:更.二也岂.二H刃EZ1田汕T j-Eral1 ho O S File Edit An al/sis: Targets viei window llmlpl MagriHude ResMnse fdBiiCurrent Fiter htarmslioriaruclure: Direct-Form I,SccDrd-OrderOrder10Eecflons: s显辭鼎:YesEaurce:Dc$igned二二二二二甄注餌二二二二二 JFitrfr- r/lEriager Response TypeLowpassHiipassBandpassBandstopDirrerenc later-_ Desicr Melhod.IR Chebysher Type N冋尺 Equripple&0.1止3 Q.4&.S&.6 &J HE 0.&Ncrmslizsd Frsqu-ency |戈忑 red. BaMplBFiler OrderSpecify orderMrinium orderOpllCTlSMatcti eiadly卩卿s&arici钙Frequency SpecmcsIiDns.M3: NoEim壮ud (Otoi)F& 43Siop1: 0-1wp&sl: 0 iWpEES2:vsiop2_ ME-irlude Specircstio仃窑.Ltiils: dBAstnpl: 1-i凸戶理 1Aiiop2 1200.5a.aLoading filter. done可以看到如果选择的是passband exactly match,那么通带相对上一个而言变窄。Part 2相位谱用E Q XKJ 0S誥咅匝1厂鸥1 ho O S File Edit An al/sis Targets vie/i window 旦 mlpl Phase ResponseiCurrent Fiter htarmaliori3ruclure: Direct-Form I.Second-Order SectfcnOrder10Secflons 5St*巾:Ye&St 丁匕 FHerFit&-曰LowpasiVV Response Type.EandpassBandstopDirrerencHcr-_ Desicr Melhod.Chebyshev Type IIFIREquiripplebiter Order迦坯辿巴妲JMrimum orderOpllCTlSMatcti eiadly st-ibsnd -l Frequency speDmcsIiDns.ftaTnaizcd (0to1)Fswsiopl:Wp&S1:WPEE32:wdop2,_Magnnud$ specirctio 仃窑,LUils: dBAstapl: 100Apa&s:IA1op2 1CGSaurce:Designed二 ULd”.二吐 UDesigning Filter. Doneiher Design Bt Aridlysis TooT - luntilledUd *rnnrjrFile Edit An al/sis; Targets vis/i window 旦 mlp / 口昌a E Q龙X e 題区I ELI田汕7門厂 Current Fiter htai-msliDriHruclure: Direct-Form I,Second-Order SuciknuorderlaEecflons: ststle:YesEaurce:DeignedStrre FUerFits- rEtiagei .-5&0.1 G2 止3 0.&.S &币 0.70.-B0.9NcrmslizEd FrsqL-encv rGd.E-ampiB Response Type.Fiter Orderra+l- EOLowpassSpecify orderFrequency Specificslions.M3: fJcrmaized (0 to 1J_ Magnilude Epecifcatio仃窑.Ltiils: dBzn岂Hi才1曲55EsndDaasBandstopDirrerenctetcr-_ Desicr Melhod.Mrinvum orderOpllCTlSMatcti eiadly MAstnpl:IZCtoFl尺Chebyshev Type IIEquirijaplewpEEs2:wsiopZwdopl:Wp&S1:Aiiop21ZCDesiffi Fill口Computing Response. donePassband在通带的相位变化更明显一些。Part 3群延迟i 弘 Analysis TmI - Fill云EFTc 十用E Q X刃EZ1田出T j-E3Era!1 ho O S File Edit An al/sis Targets viei window llRp!Group DelayiCurrent Fiter htarmaliori3ruclure: Direct-Form I.Second-Order SectfcnOrder10Secflons 5St*巾:Ye&Saurce:DesignedStere FUer .Filar f准r诣g凶.關IzqIBralICTrffiLwpmvHiipassV.BandD338Bandstop-DHTerenlatffV Response Type._ Desicr MelhodR Chebyher Type H v 冃尺 EquriapleComputing Response. done& Analysis Tool - IimtilledBfdd V韜IzqIBfa轉诩创biter OrderSpecify cr is;;Miiniuni orderOpllCTlSMatcti eiadly st-bsnd -l Frequency speDmcsIiDnsLrts: rtarnaised (0 tg 1)Fe:- 7 :ii1i |(i111111111I11J 1
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