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1: -.s6e1f. ~ 9 / , .. . ~ re...o.. Rn.\+t ~bon S9"O. ~

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;w jM .. .. (.) (b) ~~ 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 -~~1~.. ROCs 8IMI aep:~ts the ROC of the sum. (b) The shaded regions represent the indi- -~ ROC4 of e-~-< -a) and ~-."(t). In this case there is no intersection and dte Laplace tr..r(Xlii of the sum does ra converge for any value of $.