(→Energy) |
(→Energy) |
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<math> E = \int_{T2}^{T1} |x(t)|^2\ dt \!</math> | <math> E = \int_{T2}^{T1} |x(t)|^2\ dt \!</math> | ||
<br><br><br><math> E = \int_{1}^{2} |3x|^2\ dt \!</math> | <br><br><br><math> E = \int_{1}^{2} |3x|^2\ dt \!</math> | ||
− | + | <br><br><br><math> E = \int_{1}^{2} 9x^2\ dt \!</math> | |
− | <br><br><math> E = [ | + | <br><br><math> E = [3x^3]_{t=1}^{t=2} = 21</math> |
==Power== | ==Power== |
Revision as of 05:08, 5 September 2008
I chose to compute the energy and power for the signal f(t) = 3x.
Energy
$ E = \int_{T2}^{T1} |x(t)|^2\ dt \! $
$ E = \int_{1}^{2} |3x|^2\ dt \! $
$ E = \int_{1}^{2} 9x^2\ dt \! $
$ E = [3x^3]_{t=1}^{t=2} = 21 $
Power
$ P =\frac{1}{t2-t1} \int_{t1}^{t2} |f(t)|^2\ dt \! $
$ P =\frac{1}{2-1} \int_{1}^{2} |3x|^2\ dt \! $
$ P = [x^3]_{t=1}^{t=2} $