View source for HW1.4 Nicholas Browdues - Periodic and Non-Periodic Functions ECE301Fall2008mboutin - Rhea

=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>

==Continuous Time==

==Periodic==
A signal is periodic if there exists some T>0 such that:
<math> x(t) = x(t+T) </math>

-Consider <math> x(t) = sin(t) </math> from 0 to 8pi
<center>[[Image:sin_ECE301Fall2008mboutin.jpg|400px]]</center>


==Non-Periodic==
A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such that:
x(t) = x(t+T) 

-Consider <math> x(t) = e^{-t/20} * sin(2t) </math>
<center>[[Image:Sin_decr_ECE301Fall2008mboutin.jpg|400px]]</center>