📄 fig5_12.m
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echo on
% Example on 2nd order Butterworth LPF (digital & analogue)
% (gain plot)
% cut-off freq, wd = 628 rad/s
% sampling freq, ws = 5024 rad/s
echo off
% Ms Oh
% Revised BM July 98
clear
clf
colordef(1,'white')
wn=628/2512; % normalised to half ws as in
% Matlab requirement
order = 2; % filter order
% digital filter
[b,a] = butter(order,wn);
[h,w] = freqz(b,a,128); % 128 pts for curve
mag = 20*log10(abs(h));
f = 5024*w/2/pi; % normalise f scale
% analogue filter
[z,p,k]=buttap(order);
[num,den]=zp2tf(z,p,k);
[numt,dent]=lp2lp(num,den,628); % normalise to 628 rad/s
f2=0:2500/128:2500;
h2=freqs(numt,dent,f2);
mag2=20*log10(abs(h2));
plot(f,mag,f2,mag2,':');
axis( [ 0 2500 -100 0 ] );
xlabel('frequency (rad/s)')
ylabel('gain (dB)')
%gtext('analogue');
%gtext('bilinear');
%print a:fig5-12.eps -deps
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