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The definition of a periodic DT signal is that there exists an integer N such that <math>x[n+N] = x[n]</math> for all <math>n</math>. | The definition of a periodic DT signal is that there exists an integer N such that <math>x[n+N] = x[n]</math> for all <math>n</math>. | ||
| − | For example, <math>x[n] = j^n</math> is periodic | + | For example, <math>x[n] = j^n</math> is periodic. One can show that: |
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| + | <math>x[1] = j\,</math> | ||
Revision as of 17:46, 4 September 2008
The definition of a periodic DT signal is that there exists an integer N such that $ x[n+N] = x[n] $ for all $ n $.
For example, $ x[n] = j^n $ is periodic. One can show that:
$ x[1] = j\, $
