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<center>[[Image:Sinpix_ECE301Fall2008mboutin.jpg]]</center> | <center>[[Image:Sinpix_ECE301Fall2008mboutin.jpg]]</center> | ||
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| + | This function is periodic because <math>y(x)=y(x+T)\!</math> for <math>T=0, 2, 4, 6\!</math> etc. | ||
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| + | == Non-Periodic Functions in Continuous Time == | ||
| + | * Functions are classified as non-periodic if there exists no <math>T\!</math> such that <math>y(x+T)=y(x)\!</math>. | ||
| + | <br> | ||
| + | The following is an example of a non-periodic function: | ||
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| + | <center><math>y(x)=1/e^x\!</math></center> | ||
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| + | <center>[[Image:nonper_ECE301Fall2008mboutin.jpg]]</center> | ||
This function is periodic because <math>y(x)=y(x+T)\!</math> for <math>T=0, 2, 4, 6\!</math> etc. | This function is periodic because <math>y(x)=y(x+T)\!</math> for <math>T=0, 2, 4, 6\!</math> etc. | ||
Revision as of 12:19, 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 periodic because $ y(x)=y(x+T)\! $ for $ T=0, 2, 4, 6\! $ etc.
