(→Power) |
(→Energy) |
||
Line 2: | Line 2: | ||
==Energy== | ==Energy== | ||
− | <math> E = \int_{T2}^{T1} | | + | <math> E = \int_{T2}^{T1} |f(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><br><math> E = \int_{1}^{2} 9x^2\ dt \!</math> |
Latest revision as of 05:11, 5 September 2008
I chose to compute the energy and power for the signal f(t) = 3x.
Energy
$ E = \int_{T2}^{T1} |f(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 =\frac{1}{2-1} \int_{1}^{2} 9x^2\ dt \! $
$ P = [3x^3]_{t=1}^{t=2} = 21 $