A wireless cellular system is modeled by a regular hexagonal grid with base stations placed in the middle of the cells with omni-directional antennas. The distance between two neighboring base...

A wireless cellular system is modeled by a regular hexagonal grid with base stations placed in the middle of the cells with omni-directional antennas. The distance between two neighboring base stations is 2 km. The total number of channels owned by the operator is 400 channels. The modulation scheme requires a minimum SIR of 15 dB to ensure the required quality of service. Assuming that the traffic is uniformly distributed, what is the capacity of the system (in erlang/km2) a) if a blocking probability of 5% and an outage probability of 5% can be accepted? b) if the GoS, defined as the sum of outage and blocking probabilities, is not to exceed 10%? The operator using a design according to b) is now forced to surrender half of its bandwidth to competing digital services, i.e. only 200 channels remain. What is the capacity in the system now?