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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 <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. | Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. | ||
| − | < | + | <pre> |
[[Image:nonper_ECE301Fall2008mboutin.jpg]] | [[Image:nonper_ECE301Fall2008mboutin.jpg]] | ||
<pre> | <pre> | ||
If the sampling frequency is 2 then the Signal is periodic as seen below. | If the sampling frequency is 2 then the Signal is periodic as seen below. | ||
| − | < | + | <pre> |
[[Image:per_ECE301Fall2008mboutin.jpg]] | [[Image:per_ECE301Fall2008mboutin.jpg]] | ||
Revision as of 16:51, 10 September 2008
Part 1
Given the Signal <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>
[[Image:nonper_ECE301Fall2008mboutin.jpg]]
<pre>
If the sampling frequency is 2 then the Signal is periodic as seen below.
<pre>
[[Image:per_ECE301Fall2008mboutin.jpg]]
== MATLAB CODE ==
<pre>
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)')
