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Laplace Transforms

Laplace transform pairs useful for signal analysis (electrical engineering)

TimeFrequency
δ(t) 1
u(t) 1/s
ramp(t) 1/s^2
tu(t) 1/s^2
e^−αt u(t) 1/(s+α)
α g(t)+ β h(t) α G(s)+ β H(s)
g(t-t0) G(s) e^-st0
e^s0t g(t) G(s - s0)
g(at) (1/|a|)G(s/a)
-tg(t) d/ds G(s)
g(t)*h(t) G(s)H(s)
Created by: whimsey
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