Stochastic Geometry and Wireless Networks: Volume I Theory

ISBN-13: 9781601982643 / Angielski / Miękka / 2010 / 226 str.

Francois Baccelli; Bartlomiej Blaszczyszyn

Opis

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.

Spis treści

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