On the use of LMMSE receiver for single and multiple packet reception in stabilized multi-channel slotted aloha

This paper models a multi-channel stabilized S-Aloha system with capture. A capture model for single packet reception in a multi-carrier stabilized S-Aloha network is first proposed. This model can be effectively used for both single and multiple antenna base station (BS). A multi-packet reception model is also developed for multi-antenna base stations. In this model, the base station can use any multiuser detection algorithm. Two frame structures are used to allow multiuser detection. An ideal multiuser detector (MUD), i.e. the number of successful users is less than or equal to the number of antennas at the the BS, is considered in this paper. It is shown that for a lightly loaded system, i.e. when rate of new packet generation in the network is low, there might not be enough advantage to use a multiple antenna system in terms of throughput. It is also shown that in a finite user case the maximum attainable stabilized throughput reduces slightly with increasing number of users and very quickly reaches the infinite user case.