Page 128 - Schaum's Outline of Theory and Problems of Signals and Systems
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CHAP- 31 LAPLACE TRANSFORM AND CONTINUOUS-TIME LTI SYSTEMS
(4 (b)
Fig. 3-5 Effect on the ROC of shifting in the s-domain. (a) ROC of X(s); (b) ROC of X(s - so).
Equation (3.18) indicates that scaling the time variable t by the factor a causes an inverse
scaling of the variable s by l/a as well as an amplitude scaling of X(s/a) by I/ Jal. The
corresponding effect on the ROC is illustrated in Fig. 3-6.
E. Time Reversal:
If
Fig. 3-6 Effect on the ROC of time scaling. (a) ROC of X(s); (b) ROC of X(s/a).
