December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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4.8 LAPLACE TRANSFORM OF TWO-SIDED FUNCTIONS (BLT)
Let us discuss about the Laplace transform of two-sided function. Let us first consider a negative function and then a positive function. Then we will consider the two-sided function.
4.8.1 ROC for f(t) = ebtu(−t)
Let us consider a function f (t) = ebtu(–t) which has been shown in Fig. 4.6. This a negative function of time and b is a positive quantity.
Fig. 4.6 f (t) = ebtu(–t)
The Laplace transform of this function is given by
will be zero if and only if σ < b.
where ...
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