3. (20 points) Assume that a cell has 57 channels, each with an effective radiated power of 32 W and a cell radius of 10 Km. The path loss is 40

dB per decade. Assuming blocked calls are cleared, the grade of service is established to be a probability of 5%. 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) What is the current number of subscribers that can be handled by the cell? b) What is the radius and transmit power of the new cell? c) How many channels are needed in each of the new cells to maintain frequency reuse stability in the system? d) 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?