Stochastic Geometry Analysis of Cellular Networks

Achieve faster and more efficient network design and optimization with this comprehensive guide. Some of the most prominent researchers in the field explain the very latest analytic techniques and results from stochastic geometry for modelling the signal-to-interference-plus-noise ratio (SINR) distribution in heterogeneous cellular networks. This book will help readers to understand the effects of combining different system deployment parameters on key performance indicators such as coverage and capacity, enabling the efficient allocation of simulation resources. In addition to covering results for network models based on the Poisson point process, this book presents recent results for when non-Poisson base station configurations appear Poisson, due to random propagation effects such as fading and shadowing, as well as non-Poisson models for base station configurations, with a focus on determinantal point processes and tractable approximation methods. Theoretical results are illustrated with practical Long-Term Evolution (LTE) applications and compared with real-world deployment results.

Part I. Stochastic Geometry: 1. Introduction; 2. The role of stochastic geometry in HetNet analysis; 3. A brief course in stochastic geometry; 4. Statistics of received power at the typical location; Part II. SINR Analysis: 5. Downlink SINR: fundamental results; 6. Downlink SINR: advanced results; 7. Downlink SINR: further extensions; 8. Extensions to non-Poisson models.

Bartlomiej Blaszczyszyn is Research Director at the Institut national de recherche en informatique et en automatique (INRIA), France and a faculty member of the joint INRIA-ENS research group, DYOGENE.
Martin Haenggi is the Frank M. Freimann Professor of Electrical Engineering and a Concurrent Professor of Applied and Computational Mathematics at the University of Notre Dame, Indiana, and the author of Stochastic Geometry for Wireless Networks (Cambridge, 2012).
Paul Keeler is a postdoctoral researcher at the Weierstrass Institute for Applied Analysis and Statistics, Germany.
Sayandev Mukherjee is a Senior Research Engineer at DOCOMO Innovations Inc., and the author of Analytical Modeling of Heterogeneous Cellular Networks (Cambridge, 2014).