December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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4.7 LAPLACE TRANSFORM OF SOME COMMON TIME FUNCTION
4.7.1 Unit Step Function
It is the most common driving function in electrical engineering and is denoted by
∴ The Laplace transformation of unit step function can be written as
The both terms within the bracket are oscillating functions and hence can not be zero for t 
∞. Therefore, for convergence e −σt 0 at t = ∞ when σ > 0.
Figure 4.1 shows the region of convergence.
Fig. 4.1 ...
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