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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. | ||
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| + | 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.
