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IIR
1、不同阶次模拟巴特沃兹滤波器的频率响应
2、根据模拟滤波器指标，设计低通巴特沃兹滤波器
要求通带截止频率 fp = 5kHz, 通带最大衰减 ɑp =2dB， 阻带截止频率 fs= 12kHz, 阻
带最小衰减ɑs =30dB,按照上述指标设计巴特沃兹低通滤波器。
3、给定模拟滤波器，按照不同采样频率设计数字 IIR，观察采样频率对设计结果的影响
已知模拟滤波器传输函数 H(s)为
2
0.5012
( )
0.6449 0.7079
H s
s s
=
+ +
按照不同采样频率 Fs1=1Hz, Fs2=10Hz 使用脉冲响应不变法将 H(s)转换为 H(z)数字
IIR 滤波器。观察不同采样频率设计得到的数字 IIR 的差异。
4、给定数字 IIR 指标，用脉冲响应不变法设计 IIR。
数字低通滤波器的指标为: 0.2 , 1 , 0.3 , 15
p p s s
ω π α ω π α = = = = dB dB ,使用巴特沃
兹滤波器设计数字 IIR。比较采样频率 Fs=1， 2 时设计过程中的模拟滤波器，数字滤波
器的变化。
5、用双线性变换法设计 IIR，并同脉冲响应不变法比较设计的结果。数字滤波器指标要
求如下
0.2 , 1 , 0.3 , 15
p p s s
ω π α ω π α = = = = dB dB(1.Grasp the impulse response method and bilinear transformation design IIR filter principle and specific design methods, familiar with double
A computer program for designing lowpass, bandpass and highpass IIR digital filters by linear design;
2 . familiar with the design of analog Butterworth filter, master impulse response method and bilinear transformation method to design digital IIR
Filter method)
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A
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