1
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 35 English

If the BER of this system is $$Q\left( {b\sqrt y } \right),$$ then the value of b is -----------.

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2
GATE ECE 2014 Set 1
Numerical
+1
-0
The capacity of a Binary Symmetric Channel (BSC) with cross - over probability 0.5 is ______ .
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3
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 _______________.
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4
GATE ECE 2014 Set 1
Numerical
+1
-0
The forward path transfer function of a unity negative feedback system is given by $$$G\left(s\right)\;=\;\frac k{\left(s\;+\;2\right)\left(s\;-\;1\right)}$$$ The value of K which will place both the poles of the closed-loop system at the same location, is ______.
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