1
GATE ECE 2014 Set 2
Numerical
+2
-0
The power spectral density of a real stationary random process X(t) is given by
$$${S_x}\left( f \right) = \left\{ {\matrix{
{{1 \over W},\left| f \right| \le W} \cr
{0,\left| f \right| > W} \cr
} } \right.$$$
The value of the expectation
$$$E\left[ {\pi X\left( t \right)X\left( {t - {1 \over {4W}}} \right)} \right]$$$
is ---------------.
Your input ____
2
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider a random process $$X\left( t \right) = \sqrt 2 \sin \left( {2\pi t + \varphi } \right),$$ where the random phase $$\varphi $$ is uniformly distributed in the interval $$\left[ {0,\,\,2\pi } \right].$$ The auto - correlation $$E\left[ {X\left( {{t_1}} \right)X\left( {{t_2}} \right)} \right]$$ is
3
GATE ECE 2014 Set 1
Numerical
+2
-0
Let $$Q\left( {\sqrt y } \right)$$ be the BER of a BPSK system over an AWGN channel with two - sided noise power spectral density N0/2. The parameter 𝛾 is a function of bit energy and noise power spectral density. A system with two independent and identical AWGN channels with noise power spectral density N0/2 is shown in the figure. The BPSK demodulator receives the sum of outputs of both the channels
![GATE ECE 2014 Set 1 Communications - Random Signals and Noise Question 41 English](https://gateclass.cdn.examgoal.net/H1S8OFYW5jyGjiIYu/A4vFhy6Jw1imW9fhAS2eM8ryby7cz/wQZEaIggr0PWTrJH8N3guF/uploadfile.jpg)
If the BER of this system is $$Q\left( {b\sqrt y } \right),$$ then the value of b is -----------.
Your input ____
4
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below.
![GATE ECE 2013 Communications - Random Signals and Noise Question 44 English](https://imagex.cdn.examgoal.net/qi2KunidDnzgd51R3/DSboiJbKkuDptHlbiJfTkCCgcCGKD/saosmcy6I1wYG1uOPHF2Qb/uploadfile.jpg)
If the detection threshold is 1, the BER will be
Questions Asked from Random Signals and Noise (Marks 2)
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GATE ECE Subjects
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
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics