Wiley signals and systems e book TLFe BO 497

the iegioii of converge i:, the intcrsectioii of ROC{H} und RoC{X.

182 Appendix A Solucioiis to the Exercises

1 ( - w o - t - j ) ( 5 - ~ j w o ) + ( - - w ~ ~ - ~ J ) ( s + ~ w ~ ~ ) +

( 5 2 + iu.;)(2w; + 2 )

-t-

wo

1 + w $ s + 1

Oh5erve [hat for the inverse L a p l t ~ r traiisform the iegioii of converge i:, the intcrsectioii of ROC{H} und RoC{X) i.e., ROC{Y) = {sl - 1 i Re{s) <

0)