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-Consider <math> x(t) = sin(t) </math> from 0 to 8pi
 
-Consider <math> x(t) = sin(t) </math> from 0 to 8pi
<center>[[Image:sin.jpg_ECE301Fall2008mboutin|400px]]</center>
+
<center>[[Image:sin_ECE301Fall2008mboutin.jpg|400px]]</center>
  
  
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-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_ECE301Fall2008mboutin.jpg|400px]]</center>

Latest revision as of 07:08, 14 April 2010

Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

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

Sin ECE301Fall2008mboutin.jpg


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) $

Sin decr ECE301Fall2008mboutin.jpg

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