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<pre> | <pre> | ||
| − | Given the Signal <math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic. | + | Given the Signal <pre><math>y=cos(pi*t)</math></pre>, One can make 2 DT Signals one that is periodic and one that is nonperiodic. |
Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. | Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. | ||
</pre> | </pre> | ||
Revision as of 17:11, 10 September 2008
Contents
Part 1
Given the Signal <pre><math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic.
Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below.
</pre>
If the sampling frequency is 2 then the Signal is periodic as seen below.
MATLAB CODE
t=[1 2 3 4 5 6 7 8 9 10 11 12 13]
y=cos(pi.*t)
figure(1)
plot(t,y,'.')
xlabel('Time')
ylabel('cos(pi*t)')
title('NonPeriodic Signal)')
t=t.*(2)
y=cos(pi.*t)
figure(2)
plot(t,y,'.')
xlabel('Time')
ylabel('cos(pi*t')
title('NonPeriodic Signal)')
Part 2
The non Periodic CT Signal is 2^t I made this periodic my shift 2^t from 0 to 4 several times as seen in the picture below
MATLAB CODE
t=0:.001:4; y=2.^t; plot(t,y,t+4,y,t+8,y,t+12,y,t+16,y)
