(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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| − | == | + | == MATLAB CODE == |
| + | <pre> | ||
| + | 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,'.'); | ||
| + | </pre> | ||
| + | |||
| + | == 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,'.');
