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On distances in uniformly random networks

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1 Author(s)
Haenggi, M. ; Dept. of Electr. Eng., Univ. of Notre Dame, IN

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 nodes

Published in:

Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 10 )