On Distances in Uniformly Random Networks
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- 26 September 2005
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 51 (10) , 3584-3586
- https://doi.org/10.1109/tit.2005.855610
Abstract
The distribution of Euclidean distances in Poisson point processes is determined. The main result is the density function of the distance to the n-nearest neighbor of a homogeneous process in Ropfm, which is shown to be governed by a generalized Gamma distribution. The result has many implications for large wireless networks of randomly distributed nodesKeywords
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