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In this paper, a simple variation of classical Slotted Aloha is introducedand analyzed. The enhancement relies on adding multiple receivers that gatherdifferent observations of the packets transmitted by a user population in oneslot. For each observation, the packets transmitted in one slot are assumed tobe subject to independent on-off fading, so that each of them is eithercompletely faded, and then does not bring any power or interference at thereceiver, or it arrives unfaded, and then may or may not, collide with otherunfaded transmissions. With this model, a novel type of diversity is introducedto the conventional SA scheme, leading to relevant throughput gains already formoderate number of receivers. The analytical framework that we introduce allowsto derive closed-form expression of both throughput and packet loss rate anarbitrary number of receivers, providing interesting hints on the keytrade-offs that characterize the system. We then focus on the problem of havingreceivers forward the full set of collected packets to a final gateway usingthe minimum possible amount of resources, i.e., avoiding delivery of duplicatepackets, without allowing any exchange of information among them. We derivewhat is the minimum amount of resources needed and propose a scheme based onrandom linear network coding that achieves asymptotically this bound withoutthe need for the receivers to coordinate among them.

The Throughput of Slotted Aloha with Diversity