1
GATE ECE 1993
MCQ (Single Correct Answer)
+2
-0.6
If $$F\left( s \right) = L\left[ {f\left( t \right)} \right] = {K \over {\left( {s + 1} \right)\,\left( {{s^2} + 4} \right)}}$$ then $$\matrix{
{Lim\,f\,\left( t \right)} \cr
{t \to \infty } \cr
} $$ is given by
2
GATE ECE 1993
Fill in the Blanks
+2
-0
The Laplace transform of the periodioc function f(t) describe4d by the curve below, i.e.,
$$f\left( t \right) = \left\{ {\matrix{
{\sin \,t\,\,\,if\,\left( {2n - 1} \right)\pi \le t \le 2n\pi } \cr
{0\,\,\,\,\,\,\,\,otherwise} \cr
} } \right.$$
is _________. (fill in the blank), n is an integer.
is _________. (fill in the blank), n is an integer.

3
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
The Laplace transform of a function f(t)u(t), where f(t) is periodic with period T, is A(s) times the Laplace transform of its first period. Then
4
GATE ECE 1987
MCQ (Single Correct Answer)
+2
-0.6
Laplace transform of the functions t u(t) and u(t) sin(t) are respectively:
Questions Asked from Continuous Time Signal Laplace Transform (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 4 (3)
GATE ECE 2014 Set 3 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2013 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (1)
GATE ECE 2009 (1)
GATE ECE 2006 (1)
GATE ECE 2005 (1)
GATE ECE 2002 (1)
GATE ECE 1996 (1)
GATE ECE 1993 (2)
GATE ECE 1988 (1)
GATE ECE 1987 (1)
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series
Fourier Transform
Continuous Time Signal Laplace Transform
Discrete Time Signal Fourier Series Fourier Transform
Discrete Fourier Transform and Fast Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Discrete Time Linear Time Invariant Systems
Transmission of Signal Through Continuous Time LTI Systems
Sampling
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Communications
Electromagnetics
General Aptitude