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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 in Continuous Time == | == Periodic Functions in Continuous Time == | ||
* Functions are classified as periodic if there exists <math>T>0\!</math> such that <math>y(x+T)=y(x)\!</math>. | * Functions are classified as periodic if there exists <math>T>0\!</math> such that <math>y(x+T)=y(x)\!</math>. | ||
Latest revision as of 07:19, 14 April 2010
Periodic versus non-periodic functions (hw1, ECE301)
Read the instructor's comments here.
Periodic Functions in Continuous Time
- Functions are classified as periodic if there exists $ T>0\! $ such that $ y(x+T)=y(x)\! $.
The following is an example of a periodic function:
This function is periodic because $ y(x)=y(x+T)\! $ for $ T=2, 4, 6\! $ etc.
Non-Periodic Functions in Continuous Time
- Functions are classified as non-periodic if there exists no $ T>0\! $ such that $ y(x+T)=y(x)\! $.
The following is an example of a non-periodic function:
This function is not periodic because there exists no T where $ y(x)=y(x+T)\! $.
