Stochastic geometry and random graphs for the analysis and design of wireless networks
IEEE Journal on Selected Areas in Communications - Special issue on stochastic geometry and random graphs for the analysis and designof wireless networks
Outage, local throughput, and capacity of random wireless networks
IEEE Transactions on Wireless Communications
Interference and outage in clustered wireless ad hoc networks
IEEE Transactions on Information Theory
Interference in Large Wireless Networks
Foundations and Trends® in Networking
Stochastic Geometry and Wireless Networks: Volume II Applications
Foundations and Trends® in Networking
On routing in random Rayleigh fading networks
IEEE Transactions on Wireless Communications
Transmission capacity of wireless ad hoc networks with outage constraints
IEEE Transactions on Information Theory
An Aloha protocol for multihop mobile wireless networks
IEEE Transactions on Information Theory
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Outage probabilities in wireless networks depend on various factors: the node distribution, the MAC scheme, and the models for path loss, fading, and transmission success. In prior work on outage characterization for networks with randomly placed nodes, most of the emphasis was put on networks whose nodes are Poisson-distributed and where ALOHA is used as the MAC protocol. In this paper, we provide a general framework for the analysis of outage probabilities in the high-reliability regime. The outage probability characterization is based on two parameters: the intrinsic spatial contention of the network, introduced by Haenggi in a previous work, and the coordination level achieved by the MAC as measured by the interference scaling exponent introduced in this paper. We study outage probabilities under the signal-to-interference ratio (SIR) model, Rayleigh fading, and power-law path loss and explain how the two parameters depend on the network model. The main result is that the outage probability approaches γηκ as the density of interferers η goes to zero, and that κ assumes values in the range 1 ≤ κ ≤ α/2 for all practical MAC protocols, where α is the path-loss exponent. This asymptotic expression is valid for all motion-invariant point processes. We suggest a novel and complete taxonomy of MAC protocols based mainly on the value of κ. Finally, our findings suggest a conjecture that bounds the outage probability for all interferer densities.