Schiøler, Henrik2; Hansen, Martin Bøgsted7; Schwefel, Hans-Peter8
1 Department of Communication Technology, The Technical Faculty of IT and Design, Aalborg University, VBN2 Automation & Control, The Technical Faculty of IT and Design, Aalborg University, VBN3 Department of Electronic Systems, The Technical Faculty of IT and Design, Aalborg University, VBN4 Department of Mathematical Sciences, The Faculty of Engineering and Science, Aalborg University, VBN5 Networking and Security, The Technical Faculty of IT and Design, Aalborg University, VBN6 Wireless Networks, The Technical Faculty of IT and Design, Aalborg University, VBN7 Aalborg University Hospital, The Faculty of Medicine, Aalborg University, VBN8 The Faculty of Engineering and Science (TECH), Aalborg University, VBN
In this paper the dynamics of broadcasting wireless ad-hoc networks is studied through probabilistic modelling. A randomized transmission discipline is assumed in accordance with existing MAC definitions such as WLAN with Decentralized Coordination or IEEE-802.15.4. Message reception is assumed to be governed by node power-down policies and is equivalently assumed to be randomized. Altogether randomization facilitates a probabilistic model in the shape of an integro-differential equation governing the propagation of information, where brownian node mobility may be accounted for by including an extra diffusion term. The established model is analyzed for transient behaviour and a travelling wave solution facilitates expressions for propagation speed as well as parametrized analysis of network reliability and node power consumption. Applications of the developed models for node localization and network dimensioning are discussed at the end of the paper.
Proceedings of the International Symposium on Wireless Personal Multimedia Communications (wpmc 2005), 2005