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Full Description
This volume discusses wireless network modeling and performance analysis with the aim of showing how stochastic geometry can be used in a more or less systematic way to analyze the phenomena that arise in this context.
The book 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.
Contents
Preface iii. Preface to Volume I vii Contents of Volume I ix. Part I Classical Stochastic Geometry: 1 Poisson Point Process; 2 Marked Point Processes and Shot-Noise Fields; 3 Boolean Model; 4 Voronoi Tessellation; Bibliographical Notes on Part I. Part II Signal-to-Interference Ratio Stochastic Geometry; 5 Signal-to-Interference Ratio Cells; 6 Interacting Signal-to-Interference Ratio Cells; 7 Signal-to-Interference Ratio Coverage; 8 Signal-to-Interference Ratio Connectivity; Bibliographical Notes on Part II. Part III Appendix: Mathematical Complements; 9 Higher Order Moment Measures of a Point Process; 10 Stationary Marked Point Processes; 11 Fairness and Optimality; 12: Lemmas on Fourier Transforms; 13: Graph Theoretic Notions; 14: Discrete Percolation; Bibliography. Table of Notation. Index
