Journal
AD HOC NETWORKS
Volume 10, Issue 6, Pages 1146-1166Publisher
ELSEVIER
DOI: 10.1016/j.adhoc.2012.02.005
Keywords
Spatial point processes; Distance distributions; Connectivity; Poisson spatial process; Bernoulli spatial process
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To account for stochastic properties when modeling connectivity in wireless mobile systems such as cellular, ad hoc and sensor networks, spatial point processes are used. Since connectivity can be expressed as a function of the distance between nodes, distance distributions between points in spatial processes are of special importance. In this paper, we survey those results available for distance distributions between points in two mostly used spatial point models, namely, the homogeneous Poisson process in R-2 and independently uniformly distributed points in a certain region of R-2. These two models are known for decades and various distance-related results have been obtained. Unfortunately, due to a wide application area of spatial point processes they are scattered among multiple field-specific journals and researchers are still wasting their time rediscovering them time after time. We attempt to unify these results providing an ultimate reference. We will also briefly discuss some of their applications. (C) 2012 Elsevier B.V. All rights reserved.
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