A pseudo-Bayesian approach to sign-compute-resolve slotted ALOHA

Access reservation based on slotted ALOHA is commonly used in wireless cellular access. In this paper we investigate its enhancement based on the use of physical-layer network coding and signature coding, whose main feature is enabling simultaneous resolution of up to K users contending for access, where K ≥ 1. We optimise the slot access probability such that the expected throughput is maximised. In particular, the slot access probability is chosen in line with an estimate of the number of users in the system that is obtained relying on the pseudo-Bayesian approach by Rivest, which we generalise for the case that K > 1. Under the assumption that this estimate reflects the actual number of users, we show that our approach achieves throughput 1 in the limit of large K.

[1]  J. Massey.  Collision-Resolution Algorithms and Random-Access Communications , 1981 .

[2]  Lawrence G. Roberts,et al.  ALOHA packet system with and without slots and capture , 1975, CCRV.

[3]  Nancy A. Lynch,et al.  Bounded-Contention Coding for Wireless Networks in the High SNR Regime , 2012, DISC.

[4]  Nicholas Pippenger,et al.  Bounds on the performance of protocols for a multiple-access broadcast channel , 1981, IEEE Trans. Inf. Theory.

[5]  Dimitri P. Bertsekas,et al.  Data networks (2nd ed.) , 1992 .

[6]  Lang Tong,et al.  Multipacket reception in random access wireless networks: from signal processing to optimal medium access control , 2001, IEEE Commun. Mag..

[7]  Carsten Bockelmann,et al.  Compressive sensing based multi‐user detection for machine‐to‐machine communication , 2013, Trans. Emerg. Telecommun. Technol..

[8]  Danyo Danev,et al.  Multiple access adder channel , 2007 .

[9]  Petar Popovski,et al.  Coded random access: applying codes on graphs to design random access protocols , 2014, IEEE Communications Magazine.

[10]  Jasper Goseling,et al.  A random access scheme with physical-layer network coding and user identification , 2014, 2014 IEEE International Conference on Communications Workshops (ICC).

[11]  Deniz Gündüz,et al.  Collision Resolution in Slotted ALOHA with Multi-User Physical-Layer Network Coding , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[12]  Michael Gastpar,et al.  Random access with physical-layer network coding , 2013, ITA.

[13]  J. Tsitsiklis.  Analysis of a multiaccess control scheme , 1987 .

[14]  Stuart C. Schwartz,et al.  Stability properties of slotted Aloha with multipacket reception capability , 1988 .

[15]  Ronald L. Rivest,et al.  Network control by Bayesian broadcast , 1987, IEEE Trans. Inf. Theory.

[16]  Peter Vanroose,et al.  How an Erdöos-Rényi-type search approach gives an explicit code construction of rate 1 for random access with multiplicity feedback , 1997, IEEE Trans. Inf. Theory.

[17]  D. V. Gokhale,et al.  A Survey of Statistical Design and Linear Models. , 1976 .

[18]  Chen Wang,et al.  Compressive random access for post-LTE systems , 2014, 2014 IEEE International Conference on Communications Workshops (ICC).

[19]  Carsten Bockelmann,et al.  Characterization of coded random access with compressive sensing based multi-user detection , 2014, 2014 IEEE Global Communications Conference.

[20]  Michael Gastpar,et al.  Compute-and-Forward: Harnessing Interference Through Structured Codes , 2009, IEEE Transactions on Information Theory.

[21]  Petar Popovski,et al.  Sign-compute-resolve for random access , 2014, 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton).