Stochastic Geometry and Wireless Networks, Volume 1

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Stochastic Geometry and Wireless Networks, Part I: Theory first provides a compact survey on classical stochastic geometry models, with a main focus on spatial shot-noise processes, coverage processes and random tessellations. It then focuses on signal to interference noise ratio (SINR) stochastic geometry, which is the basis for the modeling of wireless network protocols and architectures considered in Stochastic Geometry and Wireless Networks, Part II: Applications. It also contains an appendix on mathematical tools used throughout Stochastic Geometry and Wireless Networks, Parts I and II.
 

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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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