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The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $$C = W\,{\log _2}\left( {1 + \frac{P}{{{\sigma ^2}W}}} \right)$$     bits per second (bps), where W is the channel bandwidth, P is the average power received and σ2 is the one-sided power spectral density of the AWGN. For a fixed $$\frac{P}{{{\sigma ^2}}} = 1000,$$   the channel capacity (in kbps) with infinite bandwidth (W → ∞) is approximately

The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $$C = W\,{\log _2}\left( {1 + \frac{P}{{{\sigma ^2}W}}} \right)$$     bits per second (bps), where W is the channel bandwidth, P is the average power received and σ2 is the one-sided power spectral density of the AWGN. For a fixed $$\frac{P}{{{\sigma ^2}}} = 1000,$$   the channel capacity (in kbps) with infinite bandwidth (W → ∞) is approximately Correct Answer 1.44

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