1
GATE EE 2011
MCQ (Single Correct Answer)
+2
-0.6
Let the Laplace transform of a function f(t) which exists for t > 0 be F1(s) and the Laplace transform of its delayed version f(1 - $$\tau$$) be F2(s). Let F1*(s) be the complex conjugate of F1(s) with the Laplace variable set as $$s=\sigma\;+\;j\omega$$. If G(s) =$$\frac{F_2\left(s\right).F_1^\ast\left(s\right)}{\left|F_1\left(s\right)\right|^2}$$ , then the inverse Laplace transform of G(s) is
A
An ideal impulse $$\delta\left(t\right)$$
B
An ideal delayed impulse $$\delta\left(t-\tau\right)$$
C
An ideal step function u(t)
D
An ideal delayed step function $$u\left(t-\tau\right)$$
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