Hi,
Can anyone please tell me what are the ranges of four different pole orders such as first order, second order, third order and fourth order respectively of butterworth filter for ECG signal?
Thank you in advance.
Article Filtering of ECG signal using Butterworth Filter and its fea...
The poles for Butterworth low-pass digital filters are on a cirlce centred on z=1.
Pampa, just run this MATLAB code (below). Enjoy :-)
%===
%Butterworth filter - by F.S. Schlindwein
N=4; % order - change here for 1, 2, 3, 4, ...
Np=512;
step=2/512;
frequencies=0:step:2-step;
%frequencies=0:2/512:2-2/512
Wn=0.2;
Fs=2;
%[zb,pb,kb] = butter(N,Wn,'low');
[Bb,Ab] = butter(N,Wn,'low');
%[sosb,gb] = zp2sos(zb,pb,kb);
%Hb = dfilt.df2sos(sosb,gb);
%grpdelay(Hb);
Hb = freqz(Bb,Ab,Np,'whole',Fs);
figure(1);
plot(frequencies(1:256), abs(Hb(1:256)));
grid on;
set(gca,'YLim',[0 1.1])
title('Gain of Butterworth');
print -deps -tiff -r600 Butter_gain;
%set(gca,'YLim',[0 5])
figure(2);
zplane(Bb,Ab);
title('Poles and Zeroes of Butterworth');
angleb=angle(Hb);
figure(3);
plot(frequencies(1:256), unwrap(angle(Hb(1:256))));
title('Phase of Butterworth');
figure(4);
[Gd,W] = grpdelay(Bb,Ab,Np,Fs);
plot(frequencies(1:Np-8)/2,Gd(1:Np-8));
title('Group delay of Butterworth');
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