IIR滤波器设计

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Wp = 40/500; Ws = 150/500;   %归一化频率计算
[n,Wn] = buttord(Wp,Ws,3,60); %计算butterworth滤波器的阶数n和截止频率wn
% Returns n = 5; Wn=0.0810;
[b,a] = butter(n,Wn);         %设计butterworth滤波器，返回滤波器系数
freqz(b,a,512,1000);          %画出幅频特性
title('n=5 Butterworth Lowpass Filter')

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

%%butterworth
[nb,wnb]=buttord(0.3,0.4,1,50);
 [bb,ab]=butter(nb,wnb);
 fvtool(bb,ab)
%%Elliptic
[nb,wnb]=ellipord(0.3,0.4,1,50);
 [bb,ab]=ellip(nb,1,50,wnb);
 fvtool(bb,ab)

 

 

 

Wp = [60 200]/500; Ws = [10 250]/500;
Rp = 3; Rs = 40;
[n,Wn] = buttord(Wp,Ws,Rp,Rs);
% Returns n =16; Wn =[0.1198 0.4005];
[b,a] = butter(n,Wn);
freqz(b,a,128,1000)
title('n=16 Butterworth Bandpass Filter')