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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> | ||
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== Periodic Functions == | == Periodic Functions == | ||
According to Wikipedia a periodic function is "a function that repeats its values after some definite period has been added to its independent variable." That is to say that x(t) = x(t + T) or x[n] = x[n + N]. | According to Wikipedia a periodic function is "a function that repeats its values after some definite period has been added to its independent variable." That is to say that x(t) = x(t + T) or x[n] = x[n + N]. | ||
Latest revision as of 06:12, 14 April 2010
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Periodic Functions
According to Wikipedia a periodic function is "a function that repeats its values after some definite period has been added to its independent variable." That is to say that x(t) = x(t + T) or x[n] = x[n + N].
An example of a periodic function is the sine function because it repeats every 2*pi. sin(t) = sin(t + 2*pi)
An example of a non-periodic function is $ e^n $ because there is no interval N that would satisfy the condition e^n = e^(n+N).
