On distances in uniformly random networks

  • Authors:
  • M. Haenggi

  • Affiliations:
  • Dept. of Electr. Eng., Univ. of Notre Dame, IN

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2005

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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 nodes