CH2-Continues-Complex-Frequency-Domain-Laplace-Transform

No.	S域	时域	No.	S域	时域
1	$1$	$\sigma(t)$	9	$\cfrac{a}{s\left( s + a \right)}$	$1−e^{-at}$
2	$\cfrac{1}{1-e^{-Ts} }$	$\delta_{T}(t) =\sum_{n=0}^{\infty}{\delta(t-nT)}$	10	$\cfrac{b - a}{\left( s + a \right)\left( s + b \right)}$	$e^{-at}−e^{-bt}$
3	$\cfrac{1}{s}$	$1 (t)$	11	$\cfrac{\omega}{ {s^{2} + \omega}^{2} }$	$\sin\omega t$
4	$\cfrac{1}{s^{2} }$	$t$	12	$\cfrac{s}{ {s^{2} + \omega}^{2} }$	$\cos ωt$
5	$\cfrac{1}{s^{3} }$	$\cfrac{t^{2} }{2}$	13	$\cfrac{\omega}{\left( s + a \right)^{2} + \omega^{2} }$	$e^{-at}\sin ωt$
6	$\cfrac{1}{s^{n + 1} }$	$\cfrac{t^{n} }{n!}$	14	$\cfrac{s + a}{\left( s + a \right)^{2} + \omega^{2} }$	$e^{-at}\cos ωt$
7	$\cfrac{1}{s + a}$	$e^{−at}$	15	$\cfrac{1}{s-\frac{\ln a}{T} }$	$a^{\frac{t}{T} }$
8	$\cfrac{1}{(s+a)^2}$	$te^{-at}$

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¶ 1 傅里叶变换（FT）到拉普拉斯（Laplace）