Consider a signal g(t), such that g(t) = 0 for t < 0. If the Laplace transform of g(t) is G(s), then with constant τ, the Laplace transform of g(t − τ) is
Consider a signal g(t), such that g(t) = 0 for t < 0. If the Laplace transform of g(t) is G(s), then with constant τ, the Laplace transform of g(t − τ) is
Right Answer is:
G(s + τ)
SOLUTION
The time shifting property of Laplace transformation is given by expression
L{X(t − τ)} = e−st X(t)
The unilateral Laplace transform of g(t − τ) will be
L{g(t − τ)} = e−st G(s)