Assume in each cell that the noise psd n02 at each base

Question

In this problem we investigate the per-user capacity for the uplink of a cellular system for different system parameters. Assume a cellular system uplink where the total system bandwidth is B = 100 kHz. Assume in each cell that the noise PSD N₀/2 at each base station receiver has N₀ = 10-9 W/Hz and that all mobiles have the same transmit power P.

(a) Plot the per-user capacity for the uplink, as given by (15.18), for K = 10 users, transmit power P = 10 mW per user, and 0 ≤ α ≤ 1. Explain the shape of the curve relative to α.

(b) For α = .5 and P = 10 mW, plot the per-user capacity for 1 ≤ K ≤ 30. Explain the shape of the curve relative to K.

(c) For α = .5 and K = 10 users, plot the per-user capacity for 0 ≤ P ≤ 100 mW. Explain the shape of the curve relative to P.