(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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| − | == | + | == OUTPUT Graphs == |
| + | Continus time funcition | ||
| + | [[Image:CTSignalGraph_ECE301Fall2008mboutin.jpg]] | ||
| − | + | DT function that is periodic | |
| + | [[Image:DTSignalPeriodic_ECE301Fall2008mboutin.jpg]] | ||
| + | |||
| + | DT function taht is not periodic | ||
| + | [[Image:DTSignalNonPeriodic_ECE301Fall2008mboutin.jpg]] | ||
| + | |||
| + | CT function that is not periodic | ||
| + | [[Image:CTSignalNonPeriodic_ECE301Fall2008mboutin.jpg]] | ||
| + | |||
| + | DT function that was made by repeating nonperiodic CT functions | ||
| + | [[Image:CT2DTSignalPeriodic_ECE301Fall2008mboutin.jpg]] | ||
| + | |||
| + | == 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> | ||
Latest revision as of 09:21, 12 September 2008
OUTPUT Graphs
Continus time funcition
DT function that is periodic
DT function taht is not periodic
CT function that is not periodic
DT function that was made by repeating nonperiodic CT functions
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,'.');
