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Problem

Compute the energy and the power of the CT sinusoidal signal below:

$ x(t)= \cos (5t) $

Solution

$ \begin{align} \left|\cos(5t)\right|^{2} = \cos^2(5t) \cos^2(5t) = \frac{1-\cos(10t)}{2} \end{align} $

$ \begin{align} E_{\infty} &=\int_{-\infty}^\infty \cos^2(5t) dt \end{align} $

Alumni Liaison

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

Buyue Zhang