(Non-Periodic)
Line 10: Line 10:
  
 
==Non-Periodic==
 
==Non-Periodic==
A signal is NOT periodic if the converse is true, there exists some T>0 such that:
+
A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such that:
x(t) x(t+T)  
+
x(t) = x(t+T)  
  
 
-Consider <math> x(t) = e^{-t/20} * sin(2t) </math>
 
-Consider <math> x(t) = e^{-t/20} * sin(2t) </math>
 
<center>[[Image:Sin_decr.jpg _ECE301Fall2008mboutin|400px]]</center>
 
<center>[[Image:Sin_decr.jpg _ECE301Fall2008mboutin|400px]]</center>

Revision as of 08:54, 5 September 2008

Continuous Time

Periodic

A signal is periodic if there exists some T>0 such that: $ x(t) = x(t+T) $

-Consider $ x(t) = sin(t) $ from 0 to 8pi

400px


Non-Periodic

A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such that: x(t) = x(t+T)

-Consider $ x(t) = e^{-t/20} * sin(2t) $

400px

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