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1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
Let x(t) $$ \leftrightarrow $$ X($$(j\omega )$$ BE Fourier transform pair. The Fourier Transform of the signal x(5t - 3) in terms of X($$(j\omega )$$ is given as
A
$${1 \over 5}{e^{ - {{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$
B
$${1 \over 5}{e^{{{j3\omega } \over 5}}}X\left( {{{j\omega } \over 5}} \right)$$
C
$${1 \over 5}{e^{ - j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$
D
$${1 \over 5}{e^{j3\omega }}X\left( {{{j\omega } \over 5}} \right)$$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform of a conjugate symmetric function is always
A
imaginary
B
conjugate anti-symmetric
C
real
D
conjugate symmetric
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\left\{ {{1 \over {1 + j2\pi t}}} \right\}$$ is
A
$${e^f}u(f)$$
B
$${e^{ - f}}$$ u(f)
C
$${e^f}u(f)$$
D
$${e^{ - f}}$$u(-f)
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
If a signal f(t) has energy E, the energy of the signal f(2t) is equal to
A
E
B
E/2
C
2E
D
4E
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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
Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer
Digital Circuits
Logic Gates Boolean Algebra Analog to Digital and Digital to Analog Converters Sequential Circuits Combinational Circuits Logic Families Number System and Code Convertions Semiconductor Memories
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
Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication
Electromagnetics
Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory
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