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1
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
2
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
3
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
4
GATE ECE 1996
MCQ (Single Correct Answer)
+1
-0.3
The trigonometric Fourier series of an even function of time does not have the
A
dc term
B
cosine terms
C
sine terms
D
odd harmonic terms
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GATE ECE Subjects
Network Theory
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs 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
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
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