Title :
On distances in uniformly random networks
Author_Institution :
Dept. of Electr. Eng., Univ. of Notre Dame, IN
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
Keywords :
graph theory; random processes; stochastic processes; wireless sensor networks; Euclidean distance; Gamma distribution; Poisson point process; density function; homogeneous process; random graphs; stochastic geometry; wireless network; Capacitive sensors; Closed-form solution; Density functional theory; Euclidean distance; Hypercubes; Intelligent networks; Measurement standards; Performance analysis; Wireless application protocol; Wireless sensor networks; Poisson point process; random graphs; stochastic geometry; wireless networks;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.855610
