562 Appendix Appendix B.2 B.lables of Transformations Properties of the Bilateral Laplace Transform I z(t) Linearity 4qjtj + Bz,(t) Dclay :r (t - L-) X($- U ) hlultiplication by t', Diffrrrntiation in the frequency domain Hr{ci} shifted R e { u } to the rig21 iiot afleected t.r(t) I I Uiffereiitiat,ion in the t iiiie doiiiain d lntcgration I I" I TC(7)dL- Scaling z(ut) sX(s) -X(S) H -x In1 (i) ROC KOC{X} ROC ROC{X} n j J : He(s j > 0) ROC' scaled by a fwtor of