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1
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
A function is given by f(t) = sin2t +cos2t . Which of the following is true?
A
f has frequency components at 0 and $$1/2\mathrm\pi$$ Hz
B
f has frequency components at 0 and $$1/\mathrm\pi$$ Hz
C
f has frequency components at $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
D
f has frequency components at 0, $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
2
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
Choose the function f (t );−$$\infty$$ < 1 < +$$\infty$$, for which a Fourier series cannot be defined.
A
3sin(25t)
B
4cos(20t+3)+2sin(10t)
C
exp (−|t|) sin(25t)
D
1
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Which of the following cannot be the Fourier series expansion of a periodic signal?
A
x(t) = 2cos t + 3 cos 3t
B
x(t) = 2cos $$\mathrm\pi$$t + 7 cos t
C
x(t) = cos t + 0.5
D
x(t) = 2cos 1.5$$\mathrm\pi$$t + sin 3.5 $$\mathrm\pi$$t
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The trigonometric Fourier series of a periodic time function can have only
A
cosine terms
B
sine terms
C
cosine and sine terms
D
d.c. and cosine terms
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GATE ECE Subjects
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
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
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
General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
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
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Communications
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
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