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(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] = e^{jw_{o}n} is periodic | + | <math>x[n] = e^{jw_{o}n}</math> is periodic |
| − | + | <math>x[n] = x[n+N] = e^{jw_{o}(n+N)} = e^{jw_{o}n}e^{jw_{o}N}</math> | |
Revision as of 14:58, 30 June 2008
(a) Derive the condition for which the discrete time complex exponetial signal
$ x[n] = e^{jw_{o}n} $ is periodic $ x[n] = x[n+N] = e^{jw_{o}(n+N)} = e^{jw_{o}n}e^{jw_{o}N} $
