Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

Periodic Function

An example of a CT periodic function is $ y=cos(t) $. The graph shows that the equation is periodic because

$ cos(t) = cos(t + T) $

Non-Periodic Function

An example of a DT non-periodic function is $ y=cos(n) $. The graph shows that the equation is non-periodic because

there is no integer value for N which makes $ cos(n) = cos(n + N) $ true.

Sources

Lecture Notes