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<center><math>y(x)=1/e^x\!</math></center> | <center><math>y(x)=1/e^x\!</math></center> | ||
| − | <center>[[Image: | + | <center>[[Image:Nonper_ECE301Fall2008mboutin.JPG]]</center> |
| − | This function is periodic because <math>y(x)=y(x+T)\!</math> | + | This function is not periodic because there exists no T where <math>y(x)=y(x+T)\!</math>. |
Revision as of 12:21, 4 September 2008
Periodic Functions in Continuous Time
- Functions are classified as periodic if there exists $ T\! $ 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=0, 2, 4, 6\! $ etc.
Non-Periodic Functions in Continuous Time
- Functions are classified as non-periodic if there exists no $ T\! $ 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)\! $.
