The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by C = Wlog₂ ^{$\bigg( 1 + \frac{P}{\sigma^2 W} \bigg)$} bits per second (bps), where W is the channel bandwidth, P is the average power received and ^_$\sigma$2 is the one sided power spectral density of the AWGN. For a fixed ^{$\frac{P}{\sigma^2}$} = 1000 the channel capacity (in kbps) with infinite bandwidth (W ^{_{$\rightarrow$}} 3) is approximately