Interference and Outage in Clustered Wireless Ad Hoc Networks

By Radha Krishna Ganti, Martin Haenggi. IEEE Transactions on Information Theory, 2007

409 citations recorded by the source corpus.

In the analysis of large random wireless networks, the underlying node distribution is almost ubiquitously assumed to be the homogeneous Poisson point process. In this paper, the node locations are assumed to form a Poisson cluster process on the plane. We derive the distributional properties of the interference and provide upper and lower bounds for its distribution. We consider the probability of successful transmission in an interference-limited channel when fading is modeled as Rayleigh. We provide a numerically integrable expression for the outage probability and closed-form upper and lower bounds. We show that when the transmitter-receiver distance is large, the success probability is greater than that of a Poisson arrangement. These results characterize the performance of the system under geographical or MAC-induced clustering. We obtain the maximum intensity of transmitting nodes for a given outage constraint, i.e., the transmission capacity (of this spatial arrangement) and show that it is equal to that of a Poisson arrangement of nodes. For the analysis, techniques from stochastic geometry are used, in particular the probability generating functional of Poisson cluster processes, the Palm characterization of Poisson cluster processes, and the Campbell-Mecke theorem.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/088f712bc79e04ccc070fe1d2fcf3c603582a3c5

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Citations in the corpus

Interference and Outage in Poisson Cognitive Networks (2012, background): “In addition, the Poisson process is a fundamental point process that is easy to handle analytically, and it provides bounds for the performance of more general network models.”
Stochastic geometry and random graphs for the analysis and design of wireless networks (2009, background): “Some recent results in this direc tion can be found in [94], [104].”
Stochastic Geometry for Modeling, Analysis, and Design of Multi-Tier and Cognitive Cellular Wireless Networks: A Survey (2013, background): “This technique is used in [9], [25]–[27], [32]–[35], [37], [39], [54]–[60], [62]–[66], [68], [77], [78], [80], [81], [83], [85], [86], [89], [90].”
Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks (2011, background): “Often picocells or enterprise (operator deployed) femtocells are clustered in high-demand areas, so a Poisson cluster process [39] might be useful to model such scenarios.”
Energy-Efficient Resource Allocation in OFDMA Systems with Large Numbers of Base Station Antennas (2012, background): “Note that although Markov’s inequality may not be the tightest upper bound for the corresponding outage probability, it has been widely adopted in the literature [29], [30] for calculating the outage probability in interference channels, since it only requires the first moment of the random variable”
Interference in Large Wireless Networks (2009, methodology): “The curves were obtained by Monte-Carlo simulation (from [13] c © 2009 IEEE).”
Throughput Optimization, Spectrum Allocation, and Access Control in Two-Tier Femtocell Networks (2012, background): “Therefore, the set of femtocell usersˆΦ forms a Neyman-Scott Process (NSP) [31]–[33].”