Edinburgh Research Explorer

The Distribution of Path Losses for Uniformly Distributed Nodes in a Circle

Research output: Contribution to journalLetter

Related Edinburgh Organisations

Open Access permissions

Open

Documents

  • Download as Adobe PDF

    Rights statement: Copyright © 2008 Zubin Bharucha and Harald Haas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

    Final published version, 1 MB, PDF document

Original languageEnglish
Article number376895
Number of pages4
JournalJournal of Electrical and Computer Engineering
Volume2008
DOIs
Publication statusPublished - 2008

Abstract

When simulating a wireless network, users/nodes are usually assumed to be distributed uniformly in space. Path losses between nodes in a simulated network are generally calculated by determining the distance between every pair of nodes and applying a suitable path loss model as a function of this distance (power of distance with an environment-specific path loss exponent) and adding a random component to represent the log-normal shadowing. A network with 푁 nodes consists of 푁(푁−1)/2 path loss values. In order to generate statistically significant results for system-level simulations, Monte Carlo simulations must be performed where the nodes are randomly distributed at the start of every run. This is a time-consuming operation which need not be carried out if the distribution of path losses between the nodes is known. The probability density function (pdf) of the path loss between the centre of a circle and a node distributed uniformly within a the circle is derived in this work.

Download statistics

No data available

ID: 1270873