September 2008
Beginner
834 pages
37h 13m
English
Any Laplace transform can be inverted by evaluating the synthesis integral in Eqn. 15.2-2 on a suitably selected vertical line extending from –∞ to ∞ in the s-plane within the ROC of the transform being inverted. But simpler methods based on Residue Theorem in Complex Analysis exist for special Laplace transforms. We do not take up the detailed analysis based on Residue Theorem here. However, the reader has to bear in mind the fact that the ‘method of partial fractions’ for inverting certain special types of Laplace transforms is based on Residue Theorem in Complex Analysis.
Linear time-invariant circuits are described by linear constant-coefficient ordinary differential equations. ...
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