(Periodic Functions in Continuous Time)
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== Periodic Functions in Continuous Time ==
 
== Periodic Functions in Continuous Time ==
* Functions are classified as periodic if there exists <math>T\!</math> such that <math>x(t+T)=x(t)\!</math>.
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* Functions are classified as periodic if there exists <math>T\!</math> such that <math>y(x+T)=y(x)\!</math>.
 
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The following is an example of a periodic function:
 
The following is an example of a periodic function:
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<center>[[Image:Sinpix_ECE301Fall2008mboutin.jpg]]</center>
 
<center>[[Image:Sinpix_ECE301Fall2008mboutin.jpg]]</center>
  
When <math>x\!</math> is equal to 0,
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This function is periodic because <math>y(x)=y(x+T)\!</math> for <math>T=0, 2, 4, 6\!</math> etc.

Revision as of 17:49, 3 September 2008

Periodic Functions in Continuous Time

  • Functions are classified as periodic if there exists $ T\! $ such that $ y(x+T)=y(x)\! $.


The following is an example of a periodic function:

$ y(x)=sin(pi*x)\! $
Sinpix ECE301Fall2008mboutin.jpg

This function is periodic because $ y(x)=y(x+T)\! $ for $ T=0, 2, 4, 6\! $ etc.

Alumni Liaison

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

Francisco Blanco-Silva