Analysis on the redundancy of wireless sensor networks
WSNA '03 Proceedings of the 2nd ACM international conference on Wireless sensor networks and applications
ACM SIGMOBILE Mobile Computing and Communications Review
Stochastic coverage in heterogeneous sensor networks
ACM Transactions on Sensor Networks (TOSN)
On the Path Coverage Properties of Random Sensor Networks
IEEE Transactions on Mobile Computing
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
Characterizing the path coverage of random wireless sensor networks
EURASIP Journal on Wireless Communications and Networking - Special issue on theoretical and algorithmic foundations of wireless ad hoc and sensor networks
Analytic alpha-stable noise modeling in a Poisson field ofinterferers or scatterers
IEEE Transactions on Signal Processing
On distances in uniformly random networks
IEEE Transactions on Information Theory
A Geometric Interpretation of Fading in Wireless Networks: Theory and Applications
IEEE Transactions on Information Theory
Distance Distribution in Convex n-Gons: Mathematical Framework and Wireless Networking Applications
Wireless Personal Communications: An International Journal
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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.