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
Transmission of Signal Through Discrete Time Lti Systems
Marks 1Marks 2Marks 4
Miscellaneous
Marks 1Marks 2
1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
In the system shown below,
x(t) = (sint)u(t). In steady-state, the response y(t) will be GATE ECE 2006 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 31 English
A
$${1 \over {\sqrt 2 }}\sin \left( {t - {\pi \over 4}} \right)$$
B
$${1 \over {\sqrt 2 }}\sin \left( {t + {\pi \over 4}} \right)$$
C
$${1 \over {\sqrt 2 }}{e^{ - t}}\sin (t)$$
D
$$\sin (t) - \cos (t)$$
2
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
A linear phase channel with phase delay $${\tau _p}$$ and group delay $${\tau _g}$$ must have
A
$$\,{\tau _p} = {\tau _g} = $$ constant
B
$${\tau _p}\infty \,\,f\,and\,{\tau _g}\infty \,f$$
C
$${\tau _p}$$ = constant and $${\tau _g}\infty \,f$$
D
$${\tau _p}\infty \,f\,and\,\,{\tau _g}$$ =constant ($$f$$denotes frequency)
3
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
The input to a channel is a band pass signal. It is obtained by linearly modulating a sinusoidal carrier with a signal- tone signal. The output of the channel due to this input is given by y(t) = (1/100) cos$$(100t - {10^{ - 6}})\,$$ cos$$({10^6}t - 1.56)$$. The group delay $$({t_g})$$ and the phase delay $$({t_p})$$, in seconds, of the channel are
A
$${t_g} = {10^{ - 6}},\,{t_p} = 1.56$$
B
$${t_g} = 1.56,\,\,{t_p} = {10^{ - 6}}$$
C
$${t_g} = \,\,{10^{ - 8}},\,\,{t_p} = 1.56 \times {10^{ - 6}}$$
D
$${t_g} = {10^{ - 8}},\,{t_p} = 1.56$$
4
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a
A
rectangular pulse of duration T.
B
rectangular pulse of duration 2T.
C
triangular pulse.
D
sine function.
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