Compact Textbooks in Mathematics

Probabilistic Methods in Telecommunications

Authors: Jahnel, Benedikt, König, Wolfgang

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  • Handles the entire circle that covers problem description, stochastic modeling, mathematical theorems and applications
  • A large span of elements of functionalities is covered
  • The list of applications reaches the boundaries of contemporary research and opens new horizons for future probabilistic investigations at many edges
  • Technicalities are largely omitted, but their nature is concisely explained
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eBook $19.99
$39.99 (listprice)
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valid through June 30, 2021
  • ISBN 978-3-030-36090-0
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  • Immediate eBook download after purchase
Softcover $27.99
$54.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-36089-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

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 the authors

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 (8 chapters)

Table of contents (8 chapters)
  • Introduction

    Pages 1-5

    Jahnel, Benedikt (et al.)

  • Device Locations: Point Processes

    Pages 7-30

    Jahnel, Benedikt (et al.)

  • Random Environments: Cox Point Processes

    Pages 31-41

    Jahnel, Benedikt (et al.)

  • Coverage and Connectivity: Boolean Models

    Pages 43-71

    Jahnel, Benedikt (et al.)

  • Interference: Signal-to-Interference Ratios

    Pages 73-85

    Jahnel, Benedikt (et al.)

Buy this book

eBook $19.99
$39.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-36090-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $27.99
$54.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-36089-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Probabilistic Methods in Telecommunications
Authors
Series Title
Compact Textbooks in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-36090-0
DOI
10.1007/978-3-030-36090-0
Softcover ISBN
978-3-030-36089-4
Series ISSN
2296-4568
Edition Number
1
Number of Pages
XI, 200
Number of Illustrations
4 b/w illustrations, 17 illustrations in colour
Topics