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Signals and Systems
Representation of Continuous Time Signal Fourier Series
Marks 1Marks 2
Fourier Transform
Marks 1Marks 2Marks 5
Continuous Time Signal Laplace Transform
Marks 1Marks 2Marks 5
Discrete Time Signal Fourier Series Fourier Transform
Marks 1Marks 2
Discrete Fourier Transform and Fast Fourier Transform
Marks 1Marks 2
Discrete Time Signal Z Transform
Marks 1Marks 2
Continuous Time Linear Invariant System
Marks 1Marks 2Marks 5
Discrete Time Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Continuous Time LTI Systems
Marks 1Marks 2Marks 5
Sampling
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Discrete Time Lti Systems
Marks 1Marks 2Marks 4
Miscellaneous
Marks 1Marks 2
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1
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
$$If\,\,L\left[ {f\left( t \right)} \right]\, = \,F\left( s \right),$$ then $$L\left[ {f\left( {t - T} \right)} \right]$$ is equal to
A
$${e^{sT}}F\left( s \right)\,$$
B
$${e^{ - sT}}\,F\left( s \right)\,\,$$
C
$${{F\left( s \right)} \over {1 + {e^{sT}}}}\,$$
D
$${{F\left( s \right)} \over {1 - {e^{ - sT}}}}$$
2
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
If L$$\left[ {f\left( t \right)} \right]$$ = $$\omega /\left( {{s^2} + {\omega ^2}} \right),$$ then the value of $$\matrix{ {Lim\,f\,\left( t \right)} \cr {t \to \infty } \cr } $$
A
cannot be determined
B
is zero
C
is unity
D
is infinite
3
GATE ECE 1997
MCQ (Single Correct Answer)
+1
-0.3
The Laplace Transform of eat .cos$$\left( {\alpha t} \right).u\left( t \right)$$ is equal to
A
$${{\left( {s - \alpha } \right)} \over {{{\left( {s - \alpha } \right)}^2} + {\alpha ^2}}}$$
B
$${{\left( {s + \alpha } \right)} \over {{{\left( {s + \alpha } \right)}^2} + {\alpha ^2}}}$$
C
$${1 \over {{{\left( {s - \alpha } \right)}^2}}}$$
D
none of the above
4
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
If L$$\left[ {f\left( t \right)} \right]$$ = $${{2\left( {s + 1} \right)} \over {{s^2} + 2s + 5}}$$, then $$f\left( {0 + } \right)\,$$ and $$f\left( \infty \right)$$ are given by
A
0, 2 respectively
B
2, 0 respectively
C
0, 1 respectively
D
2/5, 0 respectively
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Questions Asked from Marks 1
GATE ECE 2015 Set 2 (1) GATE ECE 2014 Set 3 (1) GATE ECE 2014 Set 1 (1) GATE ECE 2007 (1) GATE ECE 2003 (1) GATE ECE 2000 (1) GATE ECE 1999 (1) GATE ECE 1998 (1) GATE ECE 1997 (1) GATE ECE 1995 (2) GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics