Page 152 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 152
(b) Performing long division, we have
Let
where
Hence,
The ROC of X(s) is Re(s) > - 1. Thus, x(r) is a right-sided signal and from Table 3-1
we obtain
(c) Proceeding similarly, we obtain
Let
where
Hence,
The ROC of X(s) is Re(s) > 0. Thus, x(t) is a right-sided signal and from Table 3-1 and
Eq. (3.78) we obtain
Note that all X(s) in this problem are improper fractions and that x(t) contains S(t) or
its derivatives.
