Difference between revisions of "Calculating E infinity and P infinity - Walter Mulflur (wmulflur)" - Rhea

Revision as of 19:20, 21 June 2009

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

Compute magnitude of $ x(t) $

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

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