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.

  • Exponential growth diagram ECE301Fall2008mboutin.gif

exponential_growth_image.gif

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