(New page: == Converting CT to DT == Start with the CT signal <math>x(t) = 5*e^(j*17*2* \pi *t)\!</math>)
 
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== Converting CT to DT ==
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== MATLAB CODE ==
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<pre>
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F0 = 17/(2*pi);
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T0 = 1/F0;
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Ts = .0001;
  
Start with the CT signal <math>x(t) = 5*e^(j*17*2* \pi *t)\!</math>
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t = [0:Ts:2*T0]; %time for 2 cycles of wave
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x = real(5*exp(j*F0*2*pi*t));
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figure(1)
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plot(t,x)
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title('CT Signal');
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% change sampleing rate to be periodic DT signal
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t = [0:.01:2*T0];
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x = real(5*exp(j*F0*2*pi*t));
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figure(2)
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plot(t,x, '.');
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title('sample rate of .01');
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figure(3)
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t = [0:.013:2*T0];
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x = real(5*exp(j*F0*2*pi*t));
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plot(t,x, '.');
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title('sample rate of .013');
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% non periodic function turned periodic.
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t = [0:.01:1];
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x = exp(t);
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% non periodic
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figure(4)
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plot(t,x)
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t1 = [0:.1:1];
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t2 = [1:.1:2];
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t3=[2:.1:3];
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t4 =[t1 t2 t3];
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x = [exp(t1) exp(t1) exp(t1)];
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% repeated non periodic to be periodic
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figure(5)
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plot(t4,x,'.');
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</pre>
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== OUTPUT Graphs ==

Revision as of 07:52, 12 September 2008

MATLAB CODE

F0 = 17/(2*pi);
T0 = 1/F0;
Ts = .0001;

t = [0:Ts:2*T0]; %time for 2 cycles of wave

x = real(5*exp(j*F0*2*pi*t));

figure(1)
plot(t,x)
title('CT Signal');

% change sampleing rate to be periodic DT signal
t = [0:.01:2*T0];
x = real(5*exp(j*F0*2*pi*t));

figure(2)
plot(t,x, '.');
title('sample rate of .01');

figure(3)
t = [0:.013:2*T0];
x = real(5*exp(j*F0*2*pi*t));
plot(t,x, '.');
title('sample rate of .013');

% non periodic function turned periodic.

t = [0:.01:1];
x = exp(t);

% non periodic 
figure(4)
plot(t,x)

t1 = [0:.1:1];
t2 = [1:.1:2];
t3=[2:.1:3];
t4 =[t1 t2 t3];
x = [exp(t1) exp(t1) exp(t1)];

% repeated non periodic to be periodic
figure(5)
plot(t4,x,'.');

OUTPUT Graphs

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Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang