(New page: == Periodic Function == <math>y(x)=x+3</math> <pre> Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x). y(x+T)=x+3 with any T that...) |
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| + | [[Category:ECE301]] | ||
| + | [[Category:periodicity]] | ||
| + | =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 Function == | == Periodic Function == | ||
<math>y(x)=x+3</math> | <math>y(x)=x+3</math> | ||
Latest revision as of 07:27, 14 April 2010
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Periodic Function
$ y(x)=x+3 $
Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x).
y(x+T)=x+3 with any T that is a multiple of 3 will work.
Therefore y(x)=t+3 is aperiodic function.
Non-Periodic Functions
$ y(x)=1 $
Proof: Assuming that y(x) is periodic, then there must be a non-zero integer T,that makes y(x+T)=y(x).
y(x+T)=1 For all T except 0.
Therefore y(x)=1 is a non-periodic function.
