(Energy)
(Energy)
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==Energy==
 
==Energy==
We will find the energy in one cycle of the cosine waveform.
+
 
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According to formula of Energy of a singal,we can get:
  
 
<math>E=\int_0^{2\pi}{|2cos(t)|^2dt}</math>
 
<math>E=\int_0^{2\pi}{|2cos(t)|^2dt}</math>

Revision as of 15:43, 3 September 2008

Signal

$ y(t)=2cos(t) $

Energy

According to formula of Energy of a singal,we can get:

$ E=\int_0^{2\pi}{|2cos(t)|^2dt} $

$ =\int_0^{2\pi}{(2(2cos(t)^2-1)+2)dt} $

$ =\int_0^{2\pi}{2+cos(2t))dt} $

$ =(2t+sin(2t))|_{t=0}^{t=2\pi} $

$ =(4\pi+0-0-0) $

$ =(4\pi) $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang