Shift of Integral Path Laplace Transform

In Eourier transform, integration is carried out along the imaginary axis ) as is clear from Equations 2.41 and 2.42. Thus, it happens that the integration hits a singular point along the/w axis. To avoid this, the integral path can be shifted to)( - ja)=a+j(x) rather than)  

The earlier formulation is similar to Laplace transform and, thus, can be called finite Laplace transform. The following value has been known empirically optimum as the constant a in the earlier equation [40]  

3 Numerical Laplace Transform Discrete Laplace Transform 

Based on the explanation in the previous sections, the following form of Laplace fransform is obtained [6,40]  

The discretization of F(a) by cOq in the numerical Laplace transform causes an error. The detail of the numerical discretization error is discussed in 

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