Problem 예제.

Multiple Choice • Views 756 • Comments 0 • Last Updated at 1 month ago

그림과 같은 펄스의 라플라스 변환은?

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$\dfrac{1}{s} \left( 1+e^{Ts} \right)$

$\dfrac{1}{s} \left( 1-e^{-Ts} \right)$

$\dfrac{1}{T} \left( \dfrac{1+e^{Ts}}{s} \right)^2$

$\dfrac{1}{T} \left( \dfrac{1-e^{Ts}}{s} \right)^2$

Solution

$f(t) = u(t) - u(t-T)$

$\mathcal{L} ( u(t) - u(t-T) ) = \dfrac{1}{s}-\dfrac{1}{s}e^{-Ts}= \dfrac{1}{s}(1-e^{-Ts})$

Correct answer: 2