Consider the uplink of a single-cell CDMA system with a base station having an omni-directional antenna placed in the middle of the cell. The mobile users are uniformly distributed over the cell area....

Consider the uplink of a single-cell CDMA system with a base station having an omni-directional antenna placed in the middle of the cell. The mobile users are uniformly distributed over the cell area. The required SINR for good signal quality is γt = −19.96 dB. The propagation path loss is modeled as Lp(r) = 76+40log10(r) dB, where r, in km, is the distance to the base station. The terminals are using an ideal constant received power control, the maximum transmission power is pmax = 23 dBm, and the noise power is N0W = −33 dBm. a) Determine the outage probability for a user placed at a distance r from the base station as a function of the number of active users M and r. b) Derive a relation showing the tradeoff between capacity (number of users) and coverage r, and make a plot of the obtained results.