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Signals and Systems by Smarajit Ghosh

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4.2 REGION OF CONVERGENCE (ROC)

In Laplace transform we at first multiply the function f (t) by eσt and then by ejωt. The modified function [ f (t) eσt] is created specially so that the integral converges which needs proper chosen value of σ and the region of σ for which the integral converges is called region of convergence (ROC) of the function f (t).

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