Probabilistic methods in telecommunications:
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2020]
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Schriftenreihe: | Compact textbooks in mathematics
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Schlagwörter: | |
Abstract: | Device locations (Poisson point processes) -- coverage and connectivity (the Boolean model) -- interference -- estimates for probabilities of events of bad service quality (large deviations) -- malware propagation (the contact process) 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 |
Umfang: | xi, 200 Seiten Illustrationen, Diagramme |
ISBN: | 9783030360894 |
Internformat
MARC
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245 | 1 | 0 | |a Probabilistic methods in telecommunications |c Benedikt Jahnel ; Wolfgang König |
264 | 1 | |a Cham, Switzerland |b Birkhäuser |c [2020] | |
300 | |a xi, 200 Seiten |b Illustrationen, Diagramme | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a Compact textbooks in mathematics | |
520 | 3 | |a Device locations (Poisson point processes) -- coverage and connectivity (the Boolean model) -- interference -- estimates for probabilities of events of bad service quality (large deviations) -- malware propagation (the contact process) | |
520 | 3 | |a 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 | |
650 | 0 | 7 | |a Telekommunikation |0 (DE-588)4059360-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |2 gnd |9 rswk-swf |
653 | 0 | |a Probabilities | |
655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
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689 | 0 | 1 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |D s |
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700 | 1 | |a König, Wolfgang |d 1965- |0 (DE-588)133963306 |4 aut | |
776 | 0 | |z 9783030360900 | |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o 10.1007/978-3-030-36090-0 |z 978-3-030-36090-0 |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032749277 |
Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Jahnel, Benedikt 1980- König, Wolfgang 1965- |
author_GND | (DE-588)135445124 (DE-588)133963306 |
author_facet | Jahnel, Benedikt 1980- König, Wolfgang 1965- |
author_role | aut aut |
author_sort | Jahnel, Benedikt 1980- |
author_variant | b j bj w k wk |
building | Verbundindex |
bvnumber | BV047347003 |
ctrlnum | (OCoLC)1194941588 (DE-599)KXP1724621378 |
dewey-full | 519.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.2 |
dewey-search | 519.2 |
dewey-sort | 3519.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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genre | (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV047347003 |
illustrated | Illustrated |
indexdate | 2024-12-20T19:16:55Z |
institution | BVB |
isbn | 9783030360894 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032749277 |
oclc_num | 1194941588 |
open_access_boolean | |
owner | DE-29T DE-83 |
owner_facet | DE-29T DE-83 |
physical | xi, 200 Seiten Illustrationen, Diagramme |
publishDate | 2020 |
publishDateSearch | 2020 |
publishDateSort | 2020 |
publisher | Birkhäuser |
record_format | marc |
series2 | Compact textbooks in mathematics |
spelling | Jahnel, Benedikt 1980- (DE-588)135445124 aut Probabilistic methods in telecommunications Benedikt Jahnel ; Wolfgang König Cham, Switzerland Birkhäuser [2020] xi, 200 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Compact textbooks in mathematics Device locations (Poisson point processes) -- coverage and connectivity (the Boolean model) -- interference -- estimates for probabilities of events of bad service quality (large deviations) -- malware propagation (the contact process) 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 Telekommunikation (DE-588)4059360-5 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Probabilities (DE-588)4123623-3 Lehrbuch gnd-content Telekommunikation (DE-588)4059360-5 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 König, Wolfgang 1965- (DE-588)133963306 aut 9783030360900 Erscheint auch als Online-Ausgabe 10.1007/978-3-030-36090-0 978-3-030-36090-0 |
spellingShingle | Jahnel, Benedikt 1980- König, Wolfgang 1965- Probabilistic methods in telecommunications Telekommunikation (DE-588)4059360-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
subject_GND | (DE-588)4059360-5 (DE-588)4064324-4 (DE-588)4123623-3 |
title | Probabilistic methods in telecommunications |
title_auth | Probabilistic methods in telecommunications |
title_exact_search | Probabilistic methods in telecommunications |
title_full | Probabilistic methods in telecommunications Benedikt Jahnel ; Wolfgang König |
title_fullStr | Probabilistic methods in telecommunications Benedikt Jahnel ; Wolfgang König |
title_full_unstemmed | Probabilistic methods in telecommunications Benedikt Jahnel ; Wolfgang König |
title_short | Probabilistic methods in telecommunications |
title_sort | probabilistic methods in telecommunications |
topic | Telekommunikation (DE-588)4059360-5 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
topic_facet | Telekommunikation Wahrscheinlichkeitsrechnung Lehrbuch |
work_keys_str_mv | AT jahnelbenedikt probabilisticmethodsintelecommunications AT konigwolfgang probabilisticmethodsintelecommunications |