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1.设计题目:IIR(无限脉冲响应)模拟滤波器设计.设计题目:(无限脉冲响应)设计要求:实现模拟低通滤波器的设计。技术指标:通带截止频率Ωp02πrads通带波动δ1dB;阻带截止频率Ωr03πrads阻带衰减Ar16dB。采用切比雪夫I型滤波器模拟滤波器。设计原理:源程序清单:
Omegap02piOmegar03piDt1Ar16baafd_chb1OmegapOmegarDtArCBAsdir2casbadbmagphawfreqs_mbapihaxtimpulsebasubplot221plotwpimagtitle幅度响应HajOmegasubplot222plotwpidbtitle幅度响应dbsubplot223plotwpiphapititle相位响应axis0111subplot224plotthatitle单位脉冲响应ha(t)axis0maxtmi
hamaxha切比雪夫I型滤波器的设计子程序fu
ctio
baafd_chb1OmegapOmegarDtArifOmegap0error通带边缘必须大于0e
difOmegarOmegaperror阻带边缘必须大于通带边缘e
difDt0Ar0error通带波动或阻带衰减必须大于0e
depsqrt10Dt101A10Ar20OmegaCOmegapOmegaROmegarOmegapgsqrtAA1epNceillog10gsqrtgg1log10OmegaRsqrtOmegaROmegaR1技术指标切比雪夫I型模拟低通滤波器级联形式计算幅频响应计算模拟滤波器的单位脉冲响应
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切比雪夫1型模拟低通滤波器阶次20f
Nbau_chblapNDtOmegaC设计非归一化切比雪夫1型模拟低通滤波器原型子程序fu
ctio
bau_chblapNDtOmegaCzpkcheb1apNDtarealpolypaN
aN1ppOmegaCarealpolypaNuaN1kkaNuaN
b0kBrealpolyzbkB计算系统函数的幅度响应和相位响应子程序fu
ctio
dbmagphawfreqs_mbawmaxw01500wmax500HfreqsbawmagabsHdb20log10magepsmaxmagphaa
gleH直接形式转化成级联形式子程序fu
ctio
CBAsdir2casbaNale
gtha1Nble
gthb1b0b1bbb0a0a1aaa0Cb0a0pcplxpairrootsaKfloorNa2ifK2NaAzerosK3for
12NaArowp
1
1ArowpolyArowAfix
12realArowe
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felseifNa1A0realpolypelseAzerosK13for
122KArowp
1
1ArowployArowAfix
12realArowe
dAK10realpolypNae
dzcplxpairrootsbKfloorNb2ifNb0B00polyzelseifK2NbBzerosK3for
12NbBrowz
1
1BrowpolyBrowBfix
12realBrowe
delseifNb1B0realpolyzelseBzerosK13for
122KBrowz
1
1BrowpolyBrowBfix
12realBrowe
dBK10realpolyzNbe
d
设计结果和仿真波形:运行结果如下(如图1所示)。
切比雪夫型模拟低通滤波器阶次4C00383B001
fA1000010000
0423301753
0110303895
图1切比雪夫型模拟低通滤r
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