1
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
2
GATE ECE 1997
MCQ (Single Correct Answer)
+2
-0.6
The power spectral density of a deterministic signal is given by $${\left[ {\sin (f)/f} \right]^2}$$, where 'f' is frequency. The autocorrelation function of this signal in the time domain is
3
GATE ECE 1997
MCQ (Single Correct Answer)
+2
-0.6
If the Fourier Transfrom of a deterministic signal g(t) is G (f), then
Match each of the items 1, 2 on the left with the most appropriate item A, B, C or D on the right.
Item-1
(1) The Fourier transform of g (t - 2) is
(2) The Fourier transform of g (t/2) is
Item - 2
(A) G(f) $$e^{-j\left(4\mathrm{πf}\right)}$$
(B) G(2f)
(C) 2G(2f)
(D) G(f-2)
Match each of the items 1, 2 on the left with the most appropriate item A, B, C or D on the right.
4
GATE ECE 1996
MCQ (Single Correct Answer)
+2
-0.6
The autocorrelation function of an energy signal has
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
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform
Communications
Electromagnetics
General Aptitude