Difference between revisions of "HW1.5 Aishwar Sabesan - Signal Energy and Power ECE301Fall2008mboutin" - Rhea

Revision as of 06:45, 3 September 2008

Function

$ \,y = cos(x) $

Signal Energy

$ \,Energy = \int_0^{2\pi}{|cos(x)|^2dx} $

$ \, = \int_0^{2\pi}{|\frac{1+cos(2x)}{2}|dx} $

$ \, = \frac{1}{2}\int_0^{2\pi}{(1 + cos(2x))dx} $

$ \, = \frac{1}{2}(x + \frac{1}{2}sin(2x))|_0^{2/pi} $

$ \, = \frac{1}{2}(2\pi + 0 - 0 - 0) $

$ \, = \pi $

Signal Power

$ \, Power = $