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Q#1
Information Theory and Error Control coding
GATE EC 2025
MCQ
+1 mark
-0.33 marks
Consider an additive white Gaussian noise (AWGN) channel with bandwidth 
and noise power spectral density 
. Let 
denote the average transmit power constraint.
Which one of the following plots illustrates the dependence of the channel capacity 
on the bandwidth (keeping and 
fixed)?
Explanation:
By Shanon's Channel Capacity Theorem,
Noise Power 
(double side band PSD) 
.
And given 
No are constant,
constant 
Putting (ii) & (iii) in (i) 
Taking 
limit (note the limit)
By L-Hopital's rule 
constant
Since only (A) matches the limits, (A) is the correct graph
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