Stochastic Geometry and Wireless NetworksNow Publishers Inc, 2009 - 226 頁 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. |
內容
Preface | 1 |
Marked Point Processes and ShotNoise Fields | 43 |
Boolean Model | 71 |
Voronoi Tessellation | 91 |
SignaltoInterference Ratio Stochastic Geometry | 105 |
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 |
Table of Mathematical Notation and Abbreviations | 203 |
常見字詞
A(dx Assume assumption bond percolation Boolean model bounded capacity functional closed sets conditional distribution Consider convergence Corollary coverage process defined Definition denote density distribution function edge equal ergodic ESINR Euclidean space Example formula given graph GSINR hoc networks homogeneous BM homogeneous Poisson p.p. i.m. Poisson p.p. independently marked infinite connected component intensity measure interference Laplace transform Lebesgue measure Lemma marked p.p. marked point process nodes noise field non-negative Note p.p. with intensity Palm distribution path-loss Poisson p.p. Poisson point process Proof Proposition radius random closed set random variable Rayleigh fading reduced Palm response function Section shot-noise field SINR cell SINR coverage site percolation spherical grains square integrable stochastic geometry subset tion transmitters typical cell vector volume fraction Voronoi cell Voronoi tessellation wireless network Þ(dx