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1
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
A
A(s) = s
B
A(s) = 1/(1-exp(-Ts))
C
A(s) = 1/(1+exp(-Ts))
D
A(s) = exp (Ts)
2
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:
A
$${1 \over {{s^2}}},\,{s \over {{s^2} + 1}}$$
B
$${1 \over s},\,{1 \over {{s^2} + 1}}$$
C
$${1 \over {{s^2}}},\,{1 \over {{s^2} + 1}}$$
D
$$s,{s \over {{s^2} + 1}}$$
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Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
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Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
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