Probabilistic Methods in Telecommunications

by Benedikt Jahnel, Wolfgang König

Overview

Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission technology. These lecture notes provide valuable insights into the underlying mathematical discipline, shastic geometry, introducing the theory, mathematical models and basic concepts. They also discuss the latest applications of the theory to telecommunication systems.

The text covers several of the most fundamental aspects of quality of service: connectivity, coverage, interference, random environments, and propagation of malware. It especially highlights two important limiting scenarios of large spatial systems: the high-density limit and the ergodic limit. The book also features an analysis of extreme events and their probabilities based on the theory of large deviations.Lastly, it includes a large number of exercises offering ample opportunities for independent self-study.

Product Details

ISBN-13:	9783030360894
Publisher:	Springer International Publishing
Publication date:	06/18/2020
Series:	Compact Textbooks in Mathematics
Edition description:	1st ed. 2020
Pages:	200
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Dr. Benedikt Jahnel is part of the Research Group "Interacting Random Systems" at the Weierstrass Institute in Berlin, Germany.

Prof. Dr. Wolfgang König is Head of the Research Group "Interacting Random Systems" at the Weierstrass Institute in Berlin, Germany.

Table of Contents

Device locations (Poisson point processes).- coverage and connectivity (the Boolean model).- interference.- estimates for probabilities of events of bad service quality (large deviations).- malware propagation (the contact process).

Editorial Reviews

The exposition is succinct, very clear, and mostly self-contained, with corresponding references for the omitted proofs of the more technical results. … In addition, it contains numerous illuminating examples and exercises of various levels of difficulty. These features make the book suitable for both those wanting to familiarize themselves with the field and established researchers. Therefore, it is highly recommended to anyone interested in shastic geometry, random point processes, and their applications.” (Vladimir V. Fomichov,Mathematical Reviews, May, 2022)

From the Publisher