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The Resource Poisson line Cox process : foundations and applications to vehicular networks, Harpreet S. Dhillon and Vishnu Vardhan Chetlur

Poisson line Cox process : foundations and applications to vehicular networks, Harpreet S. Dhillon and Vishnu Vardhan Chetlur

Creator
Author
Contributor
Summary
This book provides a comprehensive treatment of the Poisson line Cox process (PLCP) and its applications to vehicular networks. The PLCP is constructed by placing points on each line of a Poisson line process (PLP) as per an independent Poisson point process (PPP). For vehicular applications, one can imagine the layout of the road network as a PLP and the vehicles on the roads as the points of the PLCP. First, a brief historical account of the evolution of the theory of PLP is provided to familiarize readers with the seminal contributions in this area. In order to provide a self-contained treatment of this topic, the construction and key fundamental properties of both PLP and PLCP are discussed in detail. The rest of the book is devoted to the applications of these models to a variety of wireless networks, including vehicular communication networks and localization networks. Specifically, modeling the locations of vehicular nodes and roadside units (RSUs) using PLCP, the signal-to-interference-plus-noise ratio (SINR)-based coverage analysis is presented for both ad hoc and cellular network models. For a similar setting, the load on the cellular macro base stations (MBSs) and RSUs in a vehicular network is also characterized analytically. For the localization networks, PLP is used to model blockages, which is shown to facilitate the characterization of asymptotic blind spot probability in a localization application. Finally, the path distance characteristics for a special case of PLCP are analyzed, which can be leveraged to answer critical questions in the areas of transportation networks and urban planning. The book is concluded with concrete suggestions on future directions of research. Based largely on the original research of the authors, this is the first book that specifically focuses on the self-contained mathematical treatment of the PLCP. The ideal audience of this book is graduate students as well as researchers in academia and industry who are familiar with probability theory, have some exposure to point processes, and are interested in the field of stochastic geometry and vehicular networks. Given the diverse backgrounds of the potential readers, the focus has been on providing an accessible and pedagogical treatment of this topic by consciously avoiding the measure theoretic details without compromising mathematical rigor
Language
eng
Work
Publication
Extent
1 PDF (xvii, 131 pages)
Note
Part of: Synthesis digital library of engineering and computer science
Contents
  • 1. Introduction -- 1.1. Motivation -- 1.2. Historical perspective -- 1.3. Scope and organization
  • 2. The Poisson point process -- 2.1. Introduction -- 2.2. Properties of PPP -- 2.3. The Poisson Voronoi tessellation -- 2.4. Summary
  • 3. The Poisson line process -- 3.1. Planar line processes -- 3.2. Plp and its properties -- 3.3. Summary
  • 4. The Poisson line Cox process -- 4.1. Construction of PLCP -- 4.2. Properties of PLCP -- 4.3. Laplace functional -- 4.4. Asymptotic characteristics -- 4.5. Summary
  • 5. Vehicular communication networks -- 5.1. Objectives -- 5.2. Notation and modeling assumptions -- 5.3. Coverage probability -- 5.4. Summary
  • 6. Ad hoc network model -- 6.1. Poisson bipolar model -- 6.2. Poisson line Cox bipolar (PLCB) model -- 6.3. Performance trends -- 6.4. Summary
  • 7. Cellular network model -- 7.1. 2D PPP model -- 7.2. PLCP model -- 7.3. Performance trends -- 7.4. SINR characterization under shadowing -- 7.5. Summary
  • 8. Load analysis -- 8.1. Load on the roadside units -- 8.2. Load on the macro base stations -- 8.3. Summary
  • 9. Localization networks -- 9.1. System model -- 9.2. Blind spot probability -- 9.3. Summary
  • 10. Path distance characteristics -- 10.1. Manhattan Poisson line process -- 10.2. Manhattan Poisson line Cox process -- 10.3. The shortest path distance -- 10.4. Results and discussion -- 10.5. Summary
  • 11. Potential future research -- 11.1. Enhancements of the model -- 11.2. Performance metrics -- 11.3. Spatio-temporal analysis
Isbn
9781681738437
Instance
Label
Poisson line Cox process : foundations and applications to vehicular networks
Title
Poisson line Cox process
Title remainder
foundations and applications to vehicular networks
Statement of responsibility
Harpreet S. Dhillon and Vishnu Vardhan Chetlur
Creator
Contributor
Author
Subject
Language
eng
Summary
This book provides a comprehensive treatment of the Poisson line Cox process (PLCP) and its applications to vehicular networks. The PLCP is constructed by placing points on each line of a Poisson line process (PLP) as per an independent Poisson point process (PPP). For vehicular applications, one can imagine the layout of the road network as a PLP and the vehicles on the roads as the points of the PLCP. First, a brief historical account of the evolution of the theory of PLP is provided to familiarize readers with the seminal contributions in this area. In order to provide a self-contained treatment of this topic, the construction and key fundamental properties of both PLP and PLCP are discussed in detail. The rest of the book is devoted to the applications of these models to a variety of wireless networks, including vehicular communication networks and localization networks. Specifically, modeling the locations of vehicular nodes and roadside units (RSUs) using PLCP, the signal-to-interference-plus-noise ratio (SINR)-based coverage analysis is presented for both ad hoc and cellular network models. For a similar setting, the load on the cellular macro base stations (MBSs) and RSUs in a vehicular network is also characterized analytically. For the localization networks, PLP is used to model blockages, which is shown to facilitate the characterization of asymptotic blind spot probability in a localization application. Finally, the path distance characteristics for a special case of PLCP are analyzed, which can be leveraged to answer critical questions in the areas of transportation networks and urban planning. The book is concluded with concrete suggestions on future directions of research. Based largely on the original research of the authors, this is the first book that specifically focuses on the self-contained mathematical treatment of the PLCP. The ideal audience of this book is graduate students as well as researchers in academia and industry who are familiar with probability theory, have some exposure to point processes, and are interested in the field of stochastic geometry and vehicular networks. Given the diverse backgrounds of the potential readers, the focus has been on providing an accessible and pedagogical treatment of this topic by consciously avoiding the measure theoretic details without compromising mathematical rigor
Member of
Cataloging source
CaBNVSL
Citation source
  • Compendex
  • INSPEC
  • Google scholar
  • Google book search
http://library.link/vocab/creatorName
Dhillon, Harpreet S
Dewey number
519.2
Illustrations
illustrations
Index
no index present
LC call number
QA273.5
LC item number
.D557 2020eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Chetlur, Vishnu Vardhan
Series statement
Synthesis lectures on learning, networks, and algorithms,
Series volume
24
http://library.link/vocab/subjectName
  • Stochastic geometry
  • Machine-to-machine communications
  • Vehicular ad hoc networks (Computer networks)
Target audience
  • adult
  • specialized
Label
Poisson line Cox process : foundations and applications to vehicular networks, Harpreet S. Dhillon and Vishnu Vardhan Chetlur
Instantiates
Publication
Note
Part of: Synthesis digital library of engineering and computer science
Bibliography note
Includes bibliographical references (pages 121-129)
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type MARC source
rdacontent
Contents
  • 1. Introduction -- 1.1. Motivation -- 1.2. Historical perspective -- 1.3. Scope and organization
  • 2. The Poisson point process -- 2.1. Introduction -- 2.2. Properties of PPP -- 2.3. The Poisson Voronoi tessellation -- 2.4. Summary
  • 3. The Poisson line process -- 3.1. Planar line processes -- 3.2. Plp and its properties -- 3.3. Summary
  • 4. The Poisson line Cox process -- 4.1. Construction of PLCP -- 4.2. Properties of PLCP -- 4.3. Laplace functional -- 4.4. Asymptotic characteristics -- 4.5. Summary
  • 5. Vehicular communication networks -- 5.1. Objectives -- 5.2. Notation and modeling assumptions -- 5.3. Coverage probability -- 5.4. Summary
  • 6. Ad hoc network model -- 6.1. Poisson bipolar model -- 6.2. Poisson line Cox bipolar (PLCB) model -- 6.3. Performance trends -- 6.4. Summary
  • 7. Cellular network model -- 7.1. 2D PPP model -- 7.2. PLCP model -- 7.3. Performance trends -- 7.4. SINR characterization under shadowing -- 7.5. Summary
  • 8. Load analysis -- 8.1. Load on the roadside units -- 8.2. Load on the macro base stations -- 8.3. Summary
  • 9. Localization networks -- 9.1. System model -- 9.2. Blind spot probability -- 9.3. Summary
  • 10. Path distance characteristics -- 10.1. Manhattan Poisson line process -- 10.2. Manhattan Poisson line Cox process -- 10.3. The shortest path distance -- 10.4. Results and discussion -- 10.5. Summary
  • 11. Potential future research -- 11.1. Enhancements of the model -- 11.2. Performance metrics -- 11.3. Spatio-temporal analysis
Control code
202004LNA024
Dimensions
unknown
Extent
1 PDF (xvii, 131 pages)
File format
multiple file formats
Form of item
online
Isbn
9781681738437
Media category
electronic
Media MARC source
isbdmedia
Other physical details
illustrations (some color).
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)thg00980794
  • (OCoLC)1164335190
Label
Poisson line Cox process : foundations and applications to vehicular networks, Harpreet S. Dhillon and Vishnu Vardhan Chetlur
Publication
Note
Part of: Synthesis digital library of engineering and computer science
Bibliography note
Includes bibliographical references (pages 121-129)
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type MARC source
rdacontent
Contents
  • 1. Introduction -- 1.1. Motivation -- 1.2. Historical perspective -- 1.3. Scope and organization
  • 2. The Poisson point process -- 2.1. Introduction -- 2.2. Properties of PPP -- 2.3. The Poisson Voronoi tessellation -- 2.4. Summary
  • 3. The Poisson line process -- 3.1. Planar line processes -- 3.2. Plp and its properties -- 3.3. Summary
  • 4. The Poisson line Cox process -- 4.1. Construction of PLCP -- 4.2. Properties of PLCP -- 4.3. Laplace functional -- 4.4. Asymptotic characteristics -- 4.5. Summary
  • 5. Vehicular communication networks -- 5.1. Objectives -- 5.2. Notation and modeling assumptions -- 5.3. Coverage probability -- 5.4. Summary
  • 6. Ad hoc network model -- 6.1. Poisson bipolar model -- 6.2. Poisson line Cox bipolar (PLCB) model -- 6.3. Performance trends -- 6.4. Summary
  • 7. Cellular network model -- 7.1. 2D PPP model -- 7.2. PLCP model -- 7.3. Performance trends -- 7.4. SINR characterization under shadowing -- 7.5. Summary
  • 8. Load analysis -- 8.1. Load on the roadside units -- 8.2. Load on the macro base stations -- 8.3. Summary
  • 9. Localization networks -- 9.1. System model -- 9.2. Blind spot probability -- 9.3. Summary
  • 10. Path distance characteristics -- 10.1. Manhattan Poisson line process -- 10.2. Manhattan Poisson line Cox process -- 10.3. The shortest path distance -- 10.4. Results and discussion -- 10.5. Summary
  • 11. Potential future research -- 11.1. Enhancements of the model -- 11.2. Performance metrics -- 11.3. Spatio-temporal analysis
Control code
202004LNA024
Dimensions
unknown
Extent
1 PDF (xvii, 131 pages)
File format
multiple file formats
Form of item
online
Isbn
9781681738437
Media category
electronic
Media MARC source
isbdmedia
Other physical details
illustrations (some color).
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)thg00980794
  • (OCoLC)1164335190

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