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 ...
Get Signals and Systems now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
