Consider the uplink of a single-cell slotted ALOHA wireless packet data system. The base station (BS) is placed in the middle of the cell and the users are uniformly distributed over the cell area....

Consider the uplink of a single-cell slotted ALOHA wireless packet data system. The base station (BS) is placed in the middle of the cell and the users are uniformly distributed over the cell area. The system uses constant received power control and all users will achieve the same data rate, 1024 kbps, if the transmission succeeds. A packet is successfully received at the base station if there is no collision. Each user needs to send 10 kbit messages on average every 10 seconds following the Poisson process, even if the previous messages have not yet been sent. a) What is the maximum number of users the system can support such that the expected packet delay is finite? b) If pure ALOHA is used, what is the maximum number of users the system can support? c) If the BS schedules the transmission of all users in an independent control channel using the round-robin scheduler, what is the maximum number of users the system can support?