Consider another example on ROC:
Let
us consider another example which illustrates the need to specify ROC
for completely defining the Laplace transform of a given function:
h1(t) = et u(t) h2(t) = -et u(-t)
We will use the
concepts gathered till now to determine the ROC's of the
above signals after computing the respective Laplace
Transforms.
 [ROC for this is given by Re(s) > 1]
[ Thus the ROC
of H2(s) is given by Re(s) < 1;provided
Re(1-s) > 0]
Thus,
two different functions may have same expressions but correspond to
different ROC.
ROC's are given
as:
|
