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


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

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

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