1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The signal x(t) is described by $$x\left( t \right) = \left\{ {\matrix{
{1\,\,\,for\,\, - 1 \le t \le + 1} \cr
{0\,\,\,\,\,\,\,\,\,\,\,\,\,\,otherwise} \cr
} } \right.$$
Two of the angular frequencies at which its Fourier transform becomes zero are
2
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in Fig.(1) & (2).

Then Y(f) is
4
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
The Hilbert transform of $$\left[ {\cos \,{\omega _1}t + \,\sin {\omega _2}t\,} \right]$$ is
Questions Asked from Fourier Transform (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
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
Electromagnetics
General Aptitude