Latest revision as of 06:18, 14 April 2010

Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n]

An example of a discrete time periodic function would be x[n] = e^(jwn) if and only if w/(2*pi) is a rational number.

In continuous time, a function x(t) is periodic if there exists a T>0 such that x(t+T) = x(t)

An example of a continuous time periodic function would be x(t) = cos(t) with a period of 2*pi.

All functions that are not periodic I suppose would then be Non-periodic.

An example of a non-periodic function would be x(t) = e^t

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+=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
+<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>
 == Periodic Functions ==
 In discrete time, a function is period if there exists an integer N such that x[n+N] = x[n]
-An example of a discrete period function would be <math>e^(jwn)</math>
+An example of a discrete time periodic function would be x[n] = e^(jwn) if and only if w/(2*pi) is a rational number.
 In continuous time, a function x(t) is periodic if there exists a T>0 such that x(t+T) = x(t)
+An example of a continuous time periodic function would be x(t) = cos(t) with a period of 2*pi.
 == Non Periodic Functions ==
 All functions that are not periodic I suppose would then be Non-periodic.
+An example of a non-periodic function would be x(t) = e^t