# 22.&nbsp; The capacity of a band-limited addit...

22.  The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $C=Wlog_2(1+{P\over \sigma^2w})$ 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 ${P\over\sigma^2}=1000$ , the channel capacity (in kbps) with infinite bandwidth ( W →∞ ) is  approximately

(A) 1.44

(B) 1.08

(C) 0.72

(D) 0.36

Hint:
Explanation:

Discuss the solution.