Interference and Outage in Clustered Wireless Ad Hoc Networks

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...

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Bibliographic Details
Published in:IEEE transactions on information theory 2009-09, Vol.55 (9), p.4067-4086
Main Authors: Ganti, R.K., Haenggi, M.
Format: Article
Language:English
Subjects:
Access methods and protocols, osi model
Access protocols
Ad hoc networks
Applied sciences
Character generation
Clustering
Clusters
Communication channels
Data transmission
Electric noise
Exact sciences and technology
Information geometry
Information theory
Information, signal and communications theory
Interference
Lower bounds
Mathematical models
Networks
Outages
Poisson cluster processes
Poisson distribution
Radiocommunications
Random variables
Rayleigh channels
shot noise
Stochastic models
Stochastic resonance
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Teleprocessing networks. Isdn
Transmission
Transmission and modulation (techniques and equipments)
transmission capacity
Transmitters
Transmitters. Receivers
Wireless networks
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Summary: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2009.2025543