Stability analysis of hybrid ALOHA

Authors:
Huahui Wang;Tongtong Li
Affiliations:
Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI;Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI
Venue:
EURASIP Journal on Wireless Communications and Networking
Year:
2010

Citing 6
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Abstract

We perform stability analysis of a recently proposed MAC protocol, hybrid ALOHA, based on the multipacket reception (MPR) model. Hybrid ALOHA distinguishes from conventional slotted ALOHA by allowing conditional collision-free channel estimation and simultaneous transmissions, and hence improves the MPR capability of the system. The stability analysis of the two-user case (N = 2) has been conducted in our previous work. In this paper, we study the stability region of hybrid ALOHA for the general Nuser (N N = 3 case. In this particular situation, the results are derived by solving a nonhomogeneous Riemann-Hilbert problem. Potentially, the mathematical tools used in this paper can be exploited for obtaining closed-form results in stability analysis of wireless networks.