Page 459 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 459
446 PROPERTIES OF LINEAR TIME-INVARIANT SYSTEMS TRANSFORMS [APP. B
Some taplace Transforms Pairs:
1,
6(t) - all s
s+a
e-"' cos w&t) H , Re(s) > -Re(a)
(s + a)2 + wi
The Unilateral (or One-sided) Laplace Transform
Definition:
x,(s) = /mx(t)e-stdr 0-= lirn (0 - E)
0 - €40
Some Special Properties:
Differentiation in the Time Domain:
dnx(t )
- S"XI(S) - S"-IX(O-) - S"-2Xy0-) - . . . -x(n-')
dt" (0-
