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020 _a9783030360894
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a519.21
_bJAH-P
100 _aJahnel, Benedikt
245 _aProbabilistic methods in telecommunications
260 _aCham :
_bBirkhäuser,
_c2020.
300 _axi, 200 pages :
_billustrations (4 b/w illustrations, 17 illustrations in colour)
490 _aCompact Textbooks in Mathematics,
_x2296-4568
504 _aIncludes bibliographical references and index.
520 _aProbabilistic 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.
650 _aProbability & statistics
650 _aTelecommunication systems
_xMathematical models
650 _aProbability theory and stochastic processes
650 _aGeometric probability and stochastic geometry
650 _aStochastic processes
_xPoint processes (Poisson, Cox, Hawkes processes)
650 _aStochastic geometry
650 _aBoolean model
700 _aKönig, Wolfgang
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-030-36090-0/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/48774629-probabilistic-methods-in-telecommunications?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35672
_d35672