| Line 1: | Line 1: | ||
| − | (a) Derive the condition for which the discrete time complex exponetial signal | + | (a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic. |
| − | <math>x[n] = e^{jw_{o}n}</math> | + | <math>x[n] = e^{jw_{o}n}</math> |
| − | + | ||
<math>x[n] = x[n+N] = e^{jw_{o}(n+N)} = e^{jw_{o}n}e^{jw_{o}N}</math> | <math>x[n] = x[n+N] = e^{jw_{o}(n+N)} = e^{jw_{o}n}e^{jw_{o}N}</math> | ||
| + | <math>In order to be periodc</math> | ||
| + | <math>Insert formula here</math> | ||
Revision as of 15:01, 30 June 2008
(a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.
$ x[n] = e^{jw_{o}n} $ $ x[n] = x[n+N] = e^{jw_{o}(n+N)} = e^{jw_{o}n}e^{jw_{o}N} $ $ In order to be periodc $ $ Insert formula here $
