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== Periodic Functions in Continuous Time == | == Periodic Functions in Continuous Time == | ||
| − | * Functions are classified as periodic if there exists <math>T\!</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>. |
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The following is an example of a periodic function: | The following is an example of a periodic function: | ||
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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. | 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 == | == Non-Periodic Functions in Continuous Time == | ||
Revision as of 13:39, 4 September 2008
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=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)\! $.
