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Created February 20, 2012 09:11
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Analysis of the twin-T notch filter
Raw
README
Analysis of the twin-T notch filter
Raw
twint.m
f = logspace(log10(1), log10(10000), 101);
omega = 2*pi*f;
s = 1j * omega;
resistor = @(r) r * ones(size(s));
capacitor = @(c) 1./(s * c);
divider = @(Z1, Z2) Z2./(Z1+Z2);
R = 100;
C = 1/(2*pi*100*R);
H1 = divider(capacitor(C), resistor(R));
H2 = divider(resistor(R), capacitor(C));
subplot(2,1,1);
semilogx(f, db(H1), f, db(H2), f, db(H1+H2));
subplot(2,1,2);
semilogx(f, angle(H1)*180/pi, f, angle(H2)*180/pi);
set(gca, 'ytick', 45*(-4:4));
%%
f = logspace(log10(0.01), log10(10), 101);
omega = 2*pi*f;
s = 1j * omega;
R = 1;
C = 1;
H = 1 - 4 * R * C * s ./ (1 + R * C * s .* (4 + R * C * s));
alpha = 0.5;
G = 1./((1-alpha)./H + alpha);
subplot(2,1,1);
semilogx(omega, db(H), omega, db(G));
subplot(2,1,2);
semilogx(omega, angle(H));
set(gca, 'ytick', 45*(-4:4));
%%
w0 = 1;
w = logspace(log10(0.01), log10(100), 301);
s = 1j * w;
for alpha=[0 0.1 0.5 0.9 ]
H = (s.^2 + w0^2)./(s.^2 + 4*s*w0*(alpha-1) + w0^2);
semilogx(w, abs(H));
hold all
end
hold off
Raw
twinT.nb
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