Description
Unit step function
Presentation Transcript
Network analysis : Network analysis 8.Transforms of other Signal Waveforms
The Shifted unit step function : The Shifted unit step function 1) U(t) = 1, t>=0
=0, t<0
2) U(t-a) = 1, t>=a
= 0, ta
= 1, t<=a
The Shifted Unit Step Function : The Shifted Unit Step Function Laplace transform of unit step function
L[u(t-a)] = e-as(1/s)
Shifting theorem
L[f(t-a)u(t-a)] = e-as * L[f(t)]
Change of scale property
L[f(t/t0)] = t0 F(t0s)
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