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© 2020

Probabilistic Methods in Telecommunications

Textbook

Part of the Compact Textbooks in Mathematics book series (CTM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Benedikt Jahnel, Wolfgang König
    Pages 1-5
  3. Benedikt Jahnel, Wolfgang König
    Pages 7-30
  4. Benedikt Jahnel, Wolfgang König
    Pages 31-41
  5. Benedikt Jahnel, Wolfgang König
    Pages 43-71
  6. Benedikt Jahnel, Wolfgang König
    Pages 73-85
  7. Benedikt Jahnel, Wolfgang König
    Pages 87-127
  8. Benedikt Jahnel, Wolfgang König
    Pages 129-164
  9. Benedikt Jahnel, Wolfgang König
    Pages 165-190
  10. Back Matter
    Pages 191-200

About this book

Introduction

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.

Keywords

stochastic geometry poisson and cox point processes signal-to-interference ratio contact process boolean model large deviations

Authors and affiliations

  1. 1.Weierstraß-InstitutBerlinGermany
  2. 2.Weierstraß-InstitutBerlinGermany

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.

Bibliographic information

  • Book Title Probabilistic Methods in Telecommunications
  • Authors Benedikt Jahnel
    Wolfgang König
  • Series Title Compact Textbooks in Mathematics
  • Series Abbreviated Title Compact Textbooks in Mathematics
  • DOI https://doi.org/10.1007/978-3-030-36090-0
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-030-36089-4
  • eBook ISBN 978-3-030-36090-0
  • Series ISSN 2296-4568
  • Series E-ISSN 2296-455X
  • Edition Number 1
  • Number of Pages XI, 200
  • Number of Illustrations 4 b/w illustrations, 17 illustrations in colour
  • Topics Probability Theory and Stochastic Processes
  • Buy this book on publisher's site
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