tailieunhanh - Báo cáo hóa học: " On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications | Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2006 Article ID 31467 Pages 1-10 DOI WCN 2006 31467 On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications Guansheng Li Pingyi Fan and Kai Cai Department of Electronic Engineering Tsinghua University Beijing 100084 China Received 13 June 2005 Revised 29 August 2005 Accepted 12 December 2005 Recommended for Publication by Yang Xiao In a wireless ad hoc network messages are transmitted received and forwarded in a finite geometrical region and the transmission of messages is highly dependent on the locations of the nodes. Therefore the study of geometrical relationship between nodes in wireless ad hoc networks is of fundamental importance in the network architecture design and performance evaluation. However most previous works concentrated on the networks deployed in the two-dimensional region or in the infinite three-dimensional space while in many cases wireless ad hoc networks are deployed in the finite three-dimensional space. In this paper we analyze the geometrical characteristics of the three-dimensional wireless ad hoc network in a finite space in the framework of random graph and deduce an expression to calculate the distance probability distribution between network nodes that are independently and uniformly distributed in a finite cuboid space. Based on the theoretical result we present some meaningful results on the finite three-dimensional network performance including the node degree and the max-flow capacity. Furthermore we investigate some approximation properties of the distance probability distribution function derived in the paper. Copyright 2006 Guansheng Li et al. 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. 1. INTRODUCTION A wireless