GATE EC 2014 Set 2 — Question 32

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MCQ+1 / -0.33MediumAWGN Channel CapacityInformation TheoryCommunications

Communications → Information Theory → AWGN Channel Capacity

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The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by C=Wlog⁡2(1+Pσ2W)C = W \log_2 \left( 1 + \frac{P}{\sigma^2 W} \right) bits per second (bps), where WW is the channel bandwidth, PP is the average power received and σ2\sigma^2 is the one-sided power spectral density of the AWGN.
For a fixed Pσ2=1000\frac{P}{\sigma^2} = 1000, the channel capacity (in kbps) with infinite bandwidth (W→∞W \to \infty) is approximately
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