1
GATE ECE 2023
MCQ (More than One Correct Answer)
+1
-0.33
For a real signal, which of the following is/are valid power spectral density/densities?
A
$${S_x}(\omega ) = {2 \over {9 + {\omega ^2}}}$$
B
$${S_x}(\omega ) = {e^{ - {\omega ^2}}}{\cos ^2}\omega $$
C
D
2
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33
The frequency response H(f) of a linear time-invariant system has magnitude as shown in the figure.
Statement I : The system is necessarily a pure delay system for inputs which are bandlimited to $$-$$$$\alpha$$ $$\le$$ f $$\le$$ $$\alpha$$.
Statement II : For any wide-sense stationary input process with power spectral density SX(f), the output power spectral density SY(f) obeys SY(f) = SX(f) for $$-$$$$\alpha$$ $$\le$$ f $$\le$$ $$\alpha$$.
Which one of the following combinations is true?
3
GATE ECE 2017 Set 2
Numerical
+1
-0
Consider the random process
x(t) = U + Vt.
Where U is a zero mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is _________________
x(t) = U + Vt.
Where U is a zero mean Gaussian random variable and V is a random variable uniformly distributed between 0 and 2. Assume that U and V are statistically independent. The mean value of the random process at t = 2 is _________________
Your input ____
4
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+1
-0.3
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be
Questions Asked from Random Signals and Noise (Marks 1)
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