1) (40 pts) Assume that a circular cell has 57 channels and a cell radius of 10 km. The transmit power of the base station in this cell is 32 W. The path loss exponent in this cell is assumed to be 4. The grade of service is established to be a probability of blocking of 5% (assuming blocked calls are cleared). Assume the average call length is two minutes, and each user averages two calls per hour. Further, assume the cell has just reached its maximum capacity and must be split into four new microcells to provide four times the capacity in the same area. a) (10 pts) What is the current user capacity of this cell? b) (10 pts) What is the radius and transmit power of the new cells? c) (10 pts) How many channels are needed in each of the new cells to maintain frequency reuse stability in the system? d) (10 pts) If traffic is uniformly distributed, what is the new traffic carried by each new cell? Will the probability of blocking in these new cells be below 0.1% after the split? Assume 57 channels are used at the original base station and the split cells