Line 6: Line 6:
  
 
   <math>x(t)=4</math>
 
   <math>x(t)=4</math>
 
 
 
Compute <math>E\infty</math>
 
Compute <math>E\infty</math>
  

Revision as of 18:57, 21 June 2009

$ x(t)=4\cos(t)+4\jmath\sin(t) $

  $ |x(t)|=|4\cos(t)+4\jmath\sin(t)| $
 
  $ |x(t)|=\sqrt{16\cos^2(t)+16\sin^2(t)} $ 
  $ x(t)=4 $

Compute $ E\infty $

  $ E\infty=\int_{-\infty}^\infty |4|^2\,dt=16t|_{-\infty}^\infty $
  $ E\infty=\infty $

Compute $ P\infty $

  $ P\infty=lim_{T \to \infty} \ \frac{1}{(2T)}\int|4|^2dt $
  $ P\infty=lim_{T \to \infty} \ \frac{1}{(2T)}*16|_{-T}^T $
  $ P\infty=lim_{T \to \infty} \ \frac{1}{(2T)}*16(T-(-T)) $
  $ P\infty=lim_{T \to \infty} \ 16 $
  $ P\infty=16 $

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