GATE Electronics and Communications (EC) 2014 Shift 2 Solved Paper

The capacity of band-limited additive white Gaussian Noise (AWGN) channel is given by $\mathit{C}=\mathit{W}{\log }_2\left[1+\frac{\mathit{P}}{\mathit{\sigma }{}^2\mathit{w}}\right]$ 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 $\frac{\mathit{P}}{\mathit{\sigma }{}^2}=1000$, the channel capacity (in kbps) with infinite Bandwidth (W → ∞) is approximately