Probabilistic methods in telecommunications
Jahnel, Benedikt
Probabilistic methods in telecommunications - Cham : Birkhäuser, 2020. - xi, 200 pages : illustrations (4 b/w illustrations, 17 illustrations in colour) - Compact Textbooks in Mathematics, 2296-4568 .
Includes bibliographical references and index.
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.
9783030360894
Probability & statistics
Telecommunication systems--Mathematical models
Probability theory and stochastic processes
Geometric probability and stochastic geometry
Stochastic processes--Point processes (Poisson, Cox, Hawkes processes)
Stochastic geometry
Boolean model
519.21 / JAH-P
Probabilistic methods in telecommunications - Cham : Birkhäuser, 2020. - xi, 200 pages : illustrations (4 b/w illustrations, 17 illustrations in colour) - Compact Textbooks in Mathematics, 2296-4568 .
Includes bibliographical references and index.
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.
9783030360894
Probability & statistics
Telecommunication systems--Mathematical models
Probability theory and stochastic processes
Geometric probability and stochastic geometry
Stochastic processes--Point processes (Poisson, Cox, Hawkes processes)
Stochastic geometry
Boolean model
519.21 / JAH-P
