Question 3: This problem demonstrates the capacity increase as cell size decreases. Consider a square city that is 100 square kilometers. Suppose you design a cellular system for this city with square cells, where every cell
(regardless of cell size) has 100 channels so can support 100 active users (in practice the number of users that can be supported per cell is mostly independent of cell size as long as the propagation model and power scale appropriately).
(a) What is the total number of active users that your system can support for a cell size of 1 square kilometer?
(b) What cell size would you use if you require that your system support 250,000 active users?