GATE EC 2016 Set 3 — Question 60
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Communications → Information Theory → AWGN Channel Capacity
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Question
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of kHz and two-sided noise power spectral density Watt per Hz. If information at the rate of kbps is to be transmitted over this channel with arbitrarily small bit error rate, then the minimum bit-energy (in mJ/bit) necessary is __________
Correct answer
30 to 33
Solution
Given:
Bandwidth kHz Hz
Two-sided noise power spectral density W/Hz W/Hz
Information rate kbps bpsAccording to Shannon's capacity theorem, for error-free transmission:
Noise power W
Signal power WMinimum bit energy Joules/bit
in mJ/bit mJ/bit
Bandwidth kHz Hz
Two-sided noise power spectral density W/Hz W/Hz
Information rate kbps bpsAccording to Shannon's capacity theorem, for error-free transmission:
Noise power W
Signal power WMinimum bit energy Joules/bit
in mJ/bit mJ/bit
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