Poisson rate:-
Given a Poisson process with parameter λ, use the probabilities Pn(t) of exercise 1 to find the expected number of events in unit time. Finite users) Suppose there are a finite number M of users of a slotted ALOHA system. User m generates a frame (original or retransmitted) in any given slot with probability Gm. The users' generations are independent of one another and independent frame by frame. Let Sm be the probability that a packet from user m is successfully transmitted in a slot.
(a) Find Sm in terms of the Gi's.
(b) Assume that the users are statistically identical, and each Gm = G/M. Find the overall throughput S in terms of G and M.
(c) Let M → ∞ and show that the limiting throughput is the same as that of equation (22.3).
