(New page: == Part 1 == <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. Lets say the Sampling rate is 1. Then the Signal i...)
 
(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.
 
+
[[Image:nonper_ECE301Fall2008mboutin.jpg]]
 
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.
 +
[[Image:per_ECE301Fall2008mboutin.jpg]]
  
 
== MATLAB CODE ==
 
== MATLAB CODE ==

Revision as of 16:45, 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.
[[Image:nonper_ECE301Fall2008mboutin.jpg]]
If the sampling frequency is 2 then the Signal is periodic as seen below.
[[Image:per_ECE301Fall2008mboutin.jpg]]

== 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 ==

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett