A cellular operator has installed a small mobile telephony system along a street (see Figure XXXXXXXXXXThe system has only four base stations located at the following distances (coordinates, in...

A cellular operator has installed a small mobile telephony system along a street (see Figure 6.17). The system has only four base stations located at the following distances (coordinates, in meters), measured from one end of the street: (50, 100, 150, 200). The system uses only one channel. The propagation loss is proportional to the fourth power of the distance, i.e. Pr = s ∗ Pt/d4, where the fading s is uniformly distributed between 0.2 and 1. At one time, two terminals, A and B, at 75 and 140, are connected. Base stations that do not serve any terminal are kept off. A terminal will be in outage if its SIR is below 10 dB. a) Determine the average link gain matrix for this channel set. b) Determine the uplink outage probabilities of the two terminals if A is connected to the second base station and B to the fourth. Pt = 1 W. c) Determine the corresponding downlink outage probabilities of the two terminals in (b).