Revision as of 18:17, 21 June 2009 by Thompso7 (Talk | contribs)

$ x(t)=\sqrt(2t) $


Compute $ E\infty $

$ E\infty=\int_{-\infty}^\infty |x(t)|^2dt $

$ E\infty=\int_{-\infty}^\infty |\sqrt(2t)|^2dt $

$ E\infty=\int_{-\infty}^\infty |2t|dt $

$ E\infty=|t^2|_{-\infty}^{\infty} $

$ E\infty= \infty-\infty $

$ E\infty=0 $


Compute $ P\infty $

$ P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T |x(t)|^2dt $

$ P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T |\sqrt(2t)|^2dt $

$ P\infty=\lim_{T \to \infty}\frac{1}{2*T}\int_{-T}^T|2t|dt $

$ P\infty=\lim_{T \to \infty}\frac{|t^2|_{-T }^{T}}{2*T} $

$ P\infty=\lim_{T \to \infty}\frac{T^2-(-T)^2}{2*T } $

$ P\infty=0 $


-Tylor Thompson

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett