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~~ 6.IJ ROCs £01' in Example 6.12. (a) The shaded regions denote the ROCs of ...WvidI.I tenn, e-~.(t) 8nd ~-."( -t). The doubly shaded r-egion is the intersection of the

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ROCs 8IMI aep:~ts the ROC of the sum. (b) The shaded regions represent the indi-

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ROC4 of e-~-< -a) and ~-."(t). In this case there is no intersection and dte Laplace tr..r(Xlii

• f the sum does ra converge for any value of $.