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Laplace Transforms
Laplace transform pairs useful for signal analysis (electrical engineering)
Time | Frequency |
---|---|
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) |