1
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
2
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 ____
3
GATE ECE 2014 Set 1
Numerical
+1
-0
The capacity of a Binary Symmetric Channel (BSC) with cross - over probability 0.5 is ______ .
Your input ____
4
GATE ECE 2014 Set 1
Numerical
+2
-0
A fair coin is tossed repeatedly until a 'Head' appears for the first time. Let L be the number of tosses to get this first 'Head'. The entropy H (L) in bits is _______________.
Your input ____
Paper analysis
Total Questions
Analog Circuits
7
Communications
5
Control Systems
5
Digital Circuits
5
Electromagnetics
3
Electronic Devices and VLSI
5
Engineering Mathematics
10
Network Theory
6
Signals and Systems
7
General Aptitude
5
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