GATE EE

Continuous Time Signal Laplace Transform

Signals and Systems

(Past Years Questions)

Marks 1

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The Laplace transform of f(t)=$$2\sqrt{t/\mathrm\pi}$$ is $$s^{-3/2}$$. The Laplace transform of g(t)=$$\sqrt{1/\mathrm...
GATE EE 2015 Set 2
Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
GATE EE 2013
The unilateral Laplace transform of f(t) is $$\frac1{s^2\;+\;s\;+\;1}$$. The unilateral Laplace transform of tf(t) is
GATE EE 2012
Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is
GATE EE 2002
The Laplace transformation of f(t) is F(s). Given F(s)=$$\frac\omega{s^2+\omega^2}$$, the final value of f(t) is
GATE EE 1995

Marks 2

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Let the Laplace transform of a function f(t) which exists for t > 0 be F1(s) and the Laplace transform of its delayed ve...
GATE EE 2011
A function y(t) satisfies the following differential equation:$$$\frac{\operatorname dy\left(t\right)}{\operatorname dt}...
GATE EE 2008
The Laplace transform of a function f(t) is F(s) = $$\frac{5s^2+23s+6}{s\left(s^2+2s+2\right)}$$. As $$t\rightarrow\inft...
GATE EE 2005
For the equation $$\ddot x\left(t\right)+3\dot x\left(t\right)+2x\left(t\right)=5$$, the solution x(t) approaches which ...
GATE EE 2005
A rectangular current pulse of duration T and magnitude 1 has the Laplace transform
GATE EE 1999
The Laplace transform of $$\left(t^2\;-\;2t\right)u\left(t\;-\;1\right)$$ is
GATE EE 1998

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