[SS] Laplace Transform Table

	Signal	Laplace Transform	RoC	...
1	$u(t)$	$\frac{1}{s}$	$\text{Re}(s)>0$	참고
2	$u(t)-u(t-a)$	$\frac{1-e^{-as}}{s}$	$\text{Re}(s)>0$	참고
3	$\delta(t)$	1	all complex plane
4	$\delta(t-a)$	$e^{-as}$	all complex plane	참고
5	$e^{-at}u(t)$	$\frac{1}{s+a}$	$\text{Re}(s)>-a$	참고
6	$\cos\Omega_0t u(t)$	$\frac{s}{s+\Omega_0^2}$	$\text{Re}(s)>0$
7	$\sin\Omega_0t u(t)$	$\frac{\Omega_0}{s+\Omega_0^2}$	$\text{Re}(s)>0$
8	$t^nu(t)$	$\frac{n!}{s^{n+1}}$	$\text{Re}(s)>0$
9	$t^ne^{-at}u(t)$	$\frac{n!}{(s+a)^{n+1}}$	$\text{Re}(s)>-a$	참고
10	$e^{-at}\cos\Omega_0tu(t)$	$\frac{s+a}{(s+a)^2+\Omega_0^2}$	$\text{Re}(s)>-a$
11	$e^{-at}\sin\Omega_0tu(t)$	$\frac{\Omega_0}{(s+a)^2+\Omega_0^2}$	$\text{Re}(s)>-a$
12	$t\cos\Omega_0tu(t)$	$\frac{s^2-\Omega_0^2}{(s^2+\Omega_0^2)^2}$	$\text{Re}(s)>0$
13	$t\sin\Omega_0tu(t)$	$\frac{2\Omega_0s}{(s^2+\Omega_0^2)^2}$	$\text{Re}(s)>0$
14	$\cos^2\Omega_0 t u(t)$	$\frac{s^2+2\Omega^2}{s(s^2+4\Omega_0^2)}$	$\text{Re}(s)>0$	참고
15	$\sin^2\Omega_0 t u(t)$	$\frac{2\Omega^2}{s(s^2+4\Omega_0^2)}$	$\text{Re}(s)>0$	참고

unilateral laplace transform이 기본인 점을 기억할 것.