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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
Sampling
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Discrete Time Lti Systems
Marks 1Marks 2Marks 4
Miscellaneous
Marks 1Marks 2
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1
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
The Fourier series of a real periodic function has only

P. Cosine terms if it is even

Q. Sine terms if it is even

R. Cosine terms if it odd

S. Sine terms if it is odd

Which of the above statement are correct?
A
P and S
B
P and R
C
Q and S
D
Q and R
2
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
3
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
4
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
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Questions Asked from Marks 1
GATE ECE 2023 (1) GATE ECE 2018 (2) GATE ECE 2017 Set 1 (1) GATE ECE 2014 Set 2 (1) GATE ECE 2010 (1) GATE ECE 2009 (2) GATE ECE 2005 (1) GATE ECE 2002 (1) GATE ECE 1998 (1) GATE ECE 1996 (1) GATE ECE 1994 (1)
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