1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For a function g(t), it is given that $$\int_{ - \infty }^\infty {g(t){e^{ - j\omega t}}dt = \omega {e^{ - 2{\omega ^2}}}} $$ for any real value $$\omega $$. If y(t)=$$\int_{ - \infty }^t {g(\tau )d\tau ,\,then\,\int_{ - \infty }^\infty {y(t)\,dt} \,} $$ is
2
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The Fourier transform of a signal h(t) is $$H(j\omega )$$ =(2 cos $$\omega $$) (sin 2$$\omega $$) / $$\omega $$. The value of h(0) is
3
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
4
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
Questions Asked from Fourier Transform (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
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
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics