(New page: Example of a Periodic Function is: e^(1/2)*j<math>pi</math>n) |
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e^(1/2)*j<math>pi</math>n | e^(1/2)*j<math>pi</math>n | ||
+ | This is discrete sigal. | ||
+ | Therefore (w/2*pi) should be rational. | ||
+ | In this above example the value is (w/2*pi) is 1/4. | ||
+ | Hence it is a periodic function. | ||
+ | |||
+ | |||
+ | |||
+ | Example of a non-periodic function: | ||
+ | |||
+ | |||
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+ | cos(n) | ||
+ | This is a discrete signal too. | ||
+ | Therefore the criteria for it to be peridic is cos(n+N)=cos(n). | ||
+ | Where "N" is any ''integer''. | ||
+ | In the above example N is 2*pi. | ||
+ | Though it looks like it is periodic, N is not an integer. | ||
+ | Therefore cos(n) is not a periodic function. |
Latest revision as of 20:44, 4 September 2008
Example of a Periodic Function is:
e^(1/2)*j$ pi $n
This is discrete sigal.
Therefore (w/2*pi) should be rational.
In this above example the value is (w/2*pi) is 1/4.
Hence it is a periodic function.
Example of a non-periodic function:
cos(n) This is a discrete signal too. Therefore the criteria for it to be peridic is cos(n+N)=cos(n). Where "N" is any integer. In the above example N is 2*pi. Though it looks like it is periodic, N is not an integer. Therefore cos(n) is not a periodic function.