Laplace Functional Ordering of Point Processes in Large-Scale Wireless Networks
Joint Authors
Lee, Junghoon
Tepedelenlioğlu, Cihan
Source
Wireless Communications and Mobile Computing
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Information Technology and Computer Science
Abstract EN
Stochastic orders on point processes are partial orders which capture notions like being larger or more variable.
Laplace functional ordering of point processes is a useful stochastic order for comparing spatial deployments of wireless networks.
It is shown that the ordering of point processes is preserved under independent operations such as marking, thinning, clustering, superposition, and random translation.
Laplace functional ordering can be used to establish comparisons of several performance metrics such as coverage probability, achievable rate, and resource allocation even when closed form expressions of such metrics are unavailable.
Applications in several network scenarios are also provided where tradeoffs between coverage and interference as well as fairness and peakyness are studied.
Monte-Carlo simulations are used to supplement our analytical results.
American Psychological Association (APA)
Lee, Junghoon& Tepedelenlioğlu, Cihan. 2018. Laplace Functional Ordering of Point Processes in Large-Scale Wireless Networks. Wireless Communications and Mobile Computing،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1216014
Modern Language Association (MLA)
Lee, Junghoon& Tepedelenlioğlu, Cihan. Laplace Functional Ordering of Point Processes in Large-Scale Wireless Networks. Wireless Communications and Mobile Computing No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1216014
American Medical Association (AMA)
Lee, Junghoon& Tepedelenlioğlu, Cihan. Laplace Functional Ordering of Point Processes in Large-Scale Wireless Networks. Wireless Communications and Mobile Computing. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1216014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1216014