Stochastic Geometry and Wireless Networks, Volume 1

Front Cover
This volume bears on wireless network modeling and performance analysis. The aim is to show how stochastic geometry can be used in a more or less systematic way to analyze the phenomena that arise in this context. It first focuses on medium access control mechanisms used in ad hoc networks and in cellular networks. It then discusses the use of stochastic geometry for the quantitative analysis of routing algorithms in mobile ad hoc networks. The appendix also contains a concise summary of wireless communication principles and of the network architectures considered in the two volumes.
 

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Contents

Preface
1
Marked Point Processes and ShotNoise Fields
43
Boolean Model
71
Voronoi Tessellation
91
Bibliographical Notes on Part I
103
Interacting SignaltoInterference Ratio Cells
131
SignaltoInterference Ratio Coverage
137
SignaltoInterference Ratio Connectivity
155
Bibliographical Notes on Part II
165
Stationary Marked Point Processes
175
Fairness and Optimality
181
Graph Theoretic Notions
189
References
199
Index
206
Copyright

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