(New page: == Signal == <math>y(t)=exp(t)</math> == Power == <font size="4"> <math>P = \int_{t_1}^{t_2} \! |y(t)|^2\ dt</math> <math>P = \int_0^2 \! |exp(t)|^2\ dt</math> <math>P = \int_0^2 \! e...) |
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== Signal == | == Signal == | ||
+ | <font size="4"> | ||
<math>y(t)=exp(t)</math> | <math>y(t)=exp(t)</math> | ||
+ | </font> | ||
== Power == | == Power == | ||
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− | <math>P = \int_0^2 \! | | + | <math>P = \int_0^2 \! |e^2\ dt</math> |
− | <math>P = \int_0^2 \! exp(2t) dt</math> (since exp(t) cannot be negative,take off the absolute value sign) | + | <math>P = \int_0^2 \! exp(2t) dt</math> (since exp(t) cannot be negative,take off the absolute value sign) |
Revision as of 18:08, 2 September 2008
Signal
$ y(t)=exp(t) $
Power
$ P = \int_{t_1}^{t_2} \! |y(t)|^2\ dt $
$ P = \int_0^2 \! |e^2\ dt $
$ P = \int_0^2 \! exp(2t) dt $ (since exp(t) cannot be negative,take off the absolute value sign)
$ P = {1\over 2} ( exp(2t) )\mid_0^{2} $
$ P = {1\over 2}(exp(4) - 1)} $