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1
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}}\,\,$$ has an output
$$y(t) = \cos \left( {2t - {\pi \over 3}} \right)\,$$ for the input signal
$$x(t) = p\cos \left( {2t - {\pi \over 2}} \right)$$. Then, the system parameter 'p' is
A
$$\sqrt 3 $$
B
$$\,{2 \over {\sqrt 3 \,}}$$
C
1
D
$${{\sqrt 3 \,} \over 2}$$
2
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 30 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
$$\sin (t) - \cos (t)$$
3
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
A low-pass filter having a frequency response $$H(j\omega )$$ = $$A(\omega ){e^{j\Phi (\omega )}}$$, does not product any phase distortion if
A
$$A(\omega ) = C{\omega ^2},\,\,\phi (\omega ) = K{\omega ^3}$$
B
$$A(\omega ) = C{\omega ^2},\,\,\phi (\omega ) = K\omega $$
C
$$A(\omega ) = C\omega ,\,\,\phi (\omega ) = K{\omega ^2}$$
D
$$A(\omega ) = C,\,\,\phi (\omega ) = K{\omega ^{ - 1}}$$
4
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)
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GATE ECE Subjects
Network Theory
Network Elements Network Theorems Transient Response Sinusoidal Steady State Response Two Port Networks Network Graphs State Equations For Networks Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Electronic Devices and VLSI
PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET
Analog Circuits
Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier
Digital Circuits
Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
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
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous
General Aptitude
Numerical Ability Verbal Ability
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
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