(Non-Periodic Functions)
(Periodic Functions)
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== Periodic Functions ==
 
== Periodic Functions ==
 
A periodic function is a function which repeats over a period of time. A good example of periodic functions are:
 
A periodic function is a function which repeats over a period of time. A good example of periodic functions are:
:*<math>\,y = sin(x)</math>
+
:*<math>\,y = sin(t)</math>
 
[[Image:Oddsinx_ECE301Fall2008mboutin.gif]]
 
[[Image:Oddsinx_ECE301Fall2008mboutin.gif]]
:*<math>\,y = cos(x)</math>
+
As you can see, this function repeats itself with a period of <math>2\pi</math>
 +
:*<math>\,y = cos(t)</math>
 +
As you can see, this function repeats itself with a period of <math>2\pi</math>
 
[[Image:Evencosx_ECE301Fall2008mboutin.gif]]
 
[[Image:Evencosx_ECE301Fall2008mboutin.gif]]
  

Revision as of 05:13, 4 September 2008

Periodic Functions

A periodic function is a function which repeats over a period of time. A good example of periodic functions are:

  • $ \,y = sin(t) $

Oddsinx ECE301Fall2008mboutin.gif As you can see, this function repeats itself with a period of $ 2\pi $

  • $ \,y = cos(t) $

As you can see, this function repeats itself with a period of $ 2\pi $ Evencosx ECE301Fall2008mboutin.gif

Non-Periodic Functions

Non periodic functions don't repeat. A good example of non-periodic functions are:

  • $ \,y = x^2 $

Parabola ECE301Fall2008mboutin.gif

  • $ \,y = e^x $

Graph14 ECE301Fall2008mboutin.png

Alumni Liaison

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

Francisco Blanco-Silva