1
GATE ECE 2014 Set 2
+2
-0.6
The capacity of band-limited additive white Gaussian noise (AWGN) channel is given by $$C = \,W\,\,{\log _2}\left( {1 + {P \over {{\sigma ^2}\,W}}} \right)$$ bits per second (bps), where W is the channel bandwidth, P is the average power received and $${{\sigma ^2}}$$ is the one-sided power spectral density of the AWGN.
For a Fixed $${{P \over {{\sigma ^2}\,}} = 1000}$$, the channel capacity (in kbps) with infinite band width $$(W \to \infty )$$ is approximately
A
1.44
B
1.08
C
0.72
D
0.36
2
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 _______________.
3
GATE ECE 2009
+2
-0.6
A communication channel with AWGN operating at a signal to noise ratio SNR > > 1 and band width B has capacity $${{C_1}}$$ . If the SNR is doubled keeping B constant, the resulting capacity $${{C_2}}$$ is given
A
$${C_2}\, \approx \,2\,{C_1}\,$$
B
$${C_2}\, \approx \,{C_1}\, + \,B$$
C
$${C_2}\, \approx \,{C_1}\, + \,2B$$
D
$${C_2}\, \approx \,{C_1}\, + \,0.3B$$
4
GATE ECE 2008
+2
-0.6
A memory less source emits n symbols each with a probability p. The entropy of the source as a function of n
A
increases as log n
B
decreases as log (1 / n)
C
increases as n
D
increases as n log n
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
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