(→Non-periodic Function) |
|||
| (8 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
| + | =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 periodic Function is a Square Wave. | + | 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. |
| + | |||
| + | *[[Image:Squarewave_ECE301Fall2008mboutin.jpg]] | ||
| + | *http://www.enginova.com/true_rms_volts.htm | ||
== Non-periodic Function == | == Non-periodic Function == | ||
| − | An Example of a non periodic Function is an Exponential Function. | + | An Example of a non periodic CT Function is an Exponential Function. <math>x(t)\ne x(t-T)</math> for <math>T>0>t </math> |
| + | As Seen in the picture below. | ||
*[[Image:exponential_growth_diagram_ECE301Fall2008mboutin.gif]] | *[[Image:exponential_growth_diagram_ECE301Fall2008mboutin.gif]] | ||
| − | + | http://www.mathwarehouse.com/exponential-growth/images/exponential_growth_image.gif | |
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.
