On the Sensitivity of the Critical Transmission Range

Lessons from the Lonely Dimension
1. Auflage 2013
ISBN: 978-1-60198-706-8
Verlag: Now Publishers

Buch, Englisch, Band 19, 126 Seiten, Format (B × H): 156 mm x 234 mm

Reihe: Foundations and Trends® in Networking

In large-scale ad-hoc wireless networks, individual nodes communicate directly and reliably only with their neighbors, namely those nodes within their transmission range. A basic question is to determine the critical transmission range, namely the smallest transmission range value that enables network connectivity amongst participating nodes. On the sensitivity of the critical transmission range: Lessons from the lonely dimension discusses this important resource allocation issue in the context of a simple one-dimensional disk model. It carefully explores how properties of the node distribution affect the critical transmission range, and develop engineering implications for power allocation. Interest in the one-dimensional stems from the fact that a complete set of results is available in that case, suggesting appropriate versions in the less developed higher dimensional situation, possibly by formal transfer.

Autoren/Hrsg.

Makowski, Armand M.

Han, Guang

Fachgebiete

• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung Mobilfunk- und Drahtlosnetzwerke & Anwendungen
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Drahtlostechnologie

Inhaltsverzeichnis

1: Introduction 2: The one-dimensional model 3: The Uniform Case: Maximal Spacings 4: The Uniform Case: Counting Breakpoint Nodes 5: The Uniform Case: Proofs for Chapter 4 6: From Uniform to Non-uniform Node Placement 7: The Non-uniform Case with f* > 0: A Strong Zero-one Law 8: The Non-uniform Case with f* > 0: A Very Strong Zero-one Law 9: The Non-uniform Case with f* > 0: A Proof of Theorem 8.1 10: The Non-uniform Case with f* = 0: Vanishing Densities at Isolated Points. Acknowledgements. References