(New page: ==Part 1== ==Part 2==)
 
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==Part 1==
 
==Part 1==
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Choose the signal <math>x(t)=cos(t)</math> which is periodic.
  
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[[image:ctsignal.fig|300px|frame|center]]
  
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Sampling ever interger yields
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[[image:dtsignal.jpg|300px|frame|center]]
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This is <math>x[n]=cos(n)</math>
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but sampling at a frequency of <math>\pi/4</math> yields
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[[image:dtsignal1.jpg|300px|frame|center]]
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This is <math>x[n]=cos(\pi/4n)</math>
  
 
==Part 2==
 
==Part 2==

Revision as of 13:14, 12 September 2008

Part 1

Choose the signal $ x(t)=cos(t) $ which is periodic.

Sampling ever interger yields

This is $ x[n]=cos(n) $

but sampling at a frequency of $ \pi/4 $ yields

This is $ x[n]=cos(\pi/4n) $

Part 2

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal