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.