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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> | ||
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== Periodic Function == | == Periodic Function == | ||
| − | An Example of a periodic Function is a Square Wave. <math>x(t)= x(t-T)</math> | + | An Example of a periodic CT Function is a Square Wave. <math>x(t)= x(t-T)</math>. As you can see below the function repeats itself every 2*pi*frequency so if T is a multiple of 2*pi*frequency then the function is continuous. |
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*[[Image:Squarewave_ECE301Fall2008mboutin.jpg]] | *[[Image:Squarewave_ECE301Fall2008mboutin.jpg]] | ||
*http://www.enginova.com/true_rms_volts.htm | *http://www.enginova.com/true_rms_volts.htm | ||
Latest revision as of 07:11, 14 April 2010
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Periodic Function
An Example of a periodic CT Function is a Square Wave. $ x(t)= x(t-T) $. As you can see below the function repeats itself every 2*pi*frequency so if T is a multiple of 2*pi*frequency then the function is continuous.
Non-periodic Function
An Example of a non periodic CT Function is an Exponential Function. $ x(t)\ne x(t-T) $ for $ T>0>t $ As Seen in the picture below.
