Buch, Englisch, Band 19, 126 Seiten, Format (B × H): 156 mm x 234 mm
Lessons from the Lonely Dimension
Buch, Englisch, Band 19, 126 Seiten, Format (B × H): 156 mm x 234 mm
Reihe: Foundations and Trends® in Networking
ISBN: 978-1-60198-706-8
Verlag: Now Publishers
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.
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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
