Distance distributions in random networks

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geneity, isotropy and independence are three properties making analysis of Pois- son process a ..... Figure 2: Illustration of the distance between random points.
Distance distributions in random networks D. Moltchanov Department of Communication Engineering, Tampere University of Technology, P.O.Box 553, Tampere, Finland E-mail: [email protected] Abstract To account for stochastic properties when modeling connectivity in wireless mobile systems such as cellular, ad-hoc and sensor networks, spatial points processes are used. Since connectivity can be expressed as a function of 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, homogeneous Poisson process in