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| + | =Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])= | ||
| + | <span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span> | ||
| + | |||
== Periodic Function == | == Periodic Function == | ||
| − | An example of a CT periodic function is <math>y=cos(t)</math>. The graph shows that the equation is periodic because | + | <font size="3">An example of a CT periodic function is <math>y=cos(t)</math>. The graph shows that the equation is periodic because |
| − | <math>cos(t) = cos(t + T)</math> | + | <math>cos(t) = cos(t + T)</math></font> |
[[Image:Periodic_ECE301Fall2008mboutin.JPG]] | [[Image:Periodic_ECE301Fall2008mboutin.JPG]] | ||
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== Non-Periodic Function == | == Non-Periodic Function == | ||
| − | An example of a DT non-periodic function is <math>y=cos(n)</math>. The graph shows that the equation is non-periodic because | + | <font size="3">An example of a DT non-periodic function is <math>y=cos(n)</math>. The graph shows that the equation is non-periodic because |
| − | there is no integer value for N which makes <math>cos(n) = cos(n + N)</math> true. | + | there is no integer value for N which makes <math>cos(n) = cos(n + N)</math> true.</font> |
[[Image:Non-periodic_ECE301Fall2008mboutin.JPG]] | [[Image:Non-periodic_ECE301Fall2008mboutin.JPG]] | ||
Latest revision as of 07:17, 14 April 2010
Contents
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Periodic Function
An example of a CT periodic function is $ y=cos(t) $. The graph shows that the equation is periodic because
$ cos(t) = cos(t + T) $
Non-Periodic Function
An example of a DT non-periodic function is $ y=cos(n) $. The graph shows that the equation is non-periodic because
there is no integer value for N which makes $ cos(n) = cos(n + N) $ true.
Sources
Lecture Notes
