Probabilistic Methods in Telecommunications (Compact Textbooks in Mathematics) - Softcover

Jahnel, Benedikt; König, Wolfgang

Softcover

ISBN 10: 303036089X ISBN 13: 9783030360894

Publisher: Birkhäuser, 2020

Synopsis

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, stochastic 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.

About this title

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.

From the Back Cover

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, stochastic 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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2020
• Language: English
• ISBN 10: 303036089X
• ISBN 13: 9783030360894
• Binding: Paperback
• Edition number: 1
• Number of pages: 211