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(a) Derive the condition for which the discrete time complex exponetial signal
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(a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.
  
   <math>x[n] = e^{jw_{o}n}</math> is periodic
+
   <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 16:01, 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 $

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