Obtain the laplace transform of pulse by direct integration

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Reference no: EM13284886

Consider the following function of t, f(t)=1/a[u(t-T0)-u(t-T0-a)]. Here both T0 and a are positive numbers. If you pick some value for T0 and a you discover that you have a rectangular pulse starting at T0 having width a and height 1/a. Obtain the Laplace transform of this pulse by direct integration. If you let a -> 0 you obtain a unit impulse. Let a -> 0 in the expression you obtained for the laplace transform of the pulse to obtain laplace transform of the shifted unit impulse.

Reference no: EM13284886

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