(Part 1)
(Part 1)
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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>
+
<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>
+
<pre>
 
[[Image:per_ECE301Fall2008mboutin.jpg]]
 
[[Image:per_ECE301Fall2008mboutin.jpg]]
  

Revision as of 17:51, 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)')

Part 2

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva