Contents
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Continuous Time
Periodic
A signal is periodic if there exists some T>0 such that: $ x(t) = x(t+T) $
-Consider $ x(t) = sin(t) $ from 0 to 8pi
![Sin ECE301Fall2008mboutin.jpg](/rhea/images/thumb/e/eb/Sin_ECE301Fall2008mboutin.jpg/400px-Sin_ECE301Fall2008mboutin.jpg)
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 $ x(t) = e^{-t/20} * sin(2t) $
![Sin decr ECE301Fall2008mboutin.jpg](/rhea/images/thumb/4/4a/Sin_decr_ECE301Fall2008mboutin.jpg/400px-Sin_decr_ECE301Fall2008mboutin.jpg)