On stochastic geometry modeling of cellular uplink transmission with truncated channel inversion power control

Handle URI:
http://hdl.handle.net/10754/563685
Title:
On stochastic geometry modeling of cellular uplink transmission with truncated channel inversion power control
Authors:
Elsawy, Hesham ( 0000-0003-4201-6126 ) ; Hossain, Ekram
Abstract:
Using stochastic geometry, we develop a tractable uplink modeling paradigm for outage probability and spectral efficiency in both single and multi-tier cellular wireless networks. The analysis accounts for per user equipment (UE) power control as well as the maximum power limitations for UEs. More specifically, for interference mitigation and robust uplink communication, each UE is required to control its transmit power such that the average received signal power at its serving base station (BS) is equal to a certain threshold ρo. Due to the limited transmit power, the UEs employ a truncated channel inversion power control policy with a cutoff threshold of ρo. We show that there exists a transfer point in the uplink system performance that depends on the following tuple: BS intensity λ, maximum transmit power of UEs Pu, and ρo. That is, when Pu is a tight operational constraint with respect to (w.r.t.) λ and ρo, the uplink outage probability and spectral efficiency highly depend on the values of λ and ρo. In this case, there exists an optimal cutoff threshold ρ*o, which depends on the system parameters, that minimizes the outage probability. On the other hand, when Pu is not a binding operational constraint w.r.t. λ and ρo, the uplink outage probability and spectral efficiency become independent of λ and ρo. We obtain approximate yet accurate simple expressions for outage probability and spectral efficiency, which reduce to closed forms in some special cases. © 2002-2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Wireless Communications
Issue Date:
Aug-2014
DOI:
10.1109/TWC.2014.2316519
ARXIV:
arXiv:1401.6145
Type:
Article
ISSN:
15361276
Sponsors:
Manuscript received September 28, 2013; revised December 30, 2013 and March 21, 2014; accepted March 30, 2014. Date of publication April 9, 2014; date of current version August 8, 2014. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC) under Strategic Project Grant STPGP 430285 and by a scholarship from TRTech, Winnipeg, Manitoba, Canada. The associate editor coordinating the review of this paper and approving it for publication was F. Gao.
Additional Links:
http://arxiv.org/abs/arXiv:1401.6145v1
Appears in Collections:
Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorElsawy, Heshamen
dc.contributor.authorHossain, Ekramen
dc.date.accessioned2015-08-03T12:06:18Zen
dc.date.available2015-08-03T12:06:18Zen
dc.date.issued2014-08en
dc.identifier.issn15361276en
dc.identifier.doi10.1109/TWC.2014.2316519en
dc.identifier.urihttp://hdl.handle.net/10754/563685en
dc.description.abstractUsing stochastic geometry, we develop a tractable uplink modeling paradigm for outage probability and spectral efficiency in both single and multi-tier cellular wireless networks. The analysis accounts for per user equipment (UE) power control as well as the maximum power limitations for UEs. More specifically, for interference mitigation and robust uplink communication, each UE is required to control its transmit power such that the average received signal power at its serving base station (BS) is equal to a certain threshold ρo. Due to the limited transmit power, the UEs employ a truncated channel inversion power control policy with a cutoff threshold of ρo. We show that there exists a transfer point in the uplink system performance that depends on the following tuple: BS intensity λ, maximum transmit power of UEs Pu, and ρo. That is, when Pu is a tight operational constraint with respect to (w.r.t.) λ and ρo, the uplink outage probability and spectral efficiency highly depend on the values of λ and ρo. In this case, there exists an optimal cutoff threshold ρ*o, which depends on the system parameters, that minimizes the outage probability. On the other hand, when Pu is not a binding operational constraint w.r.t. λ and ρo, the uplink outage probability and spectral efficiency become independent of λ and ρo. We obtain approximate yet accurate simple expressions for outage probability and spectral efficiency, which reduce to closed forms in some special cases. © 2002-2012 IEEE.en
dc.description.sponsorshipManuscript received September 28, 2013; revised December 30, 2013 and March 21, 2014; accepted March 30, 2014. Date of publication April 9, 2014; date of current version August 8, 2014. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC) under Strategic Project Grant STPGP 430285 and by a scholarship from TRTech, Winnipeg, Manitoba, Canada. The associate editor coordinating the review of this paper and approving it for publication was F. Gao.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://arxiv.org/abs/arXiv:1401.6145v1en
dc.subjectMulti-tier cellular networksen
dc.subjectPower controlen
dc.subjectStochastic geometryen
dc.subjectTruncated channel inversionen
dc.subjectUplink communicationen
dc.titleOn stochastic geometry modeling of cellular uplink transmission with truncated channel inversion power controlen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.identifier.journalIEEE Transactions on Wireless Communicationsen
dc.contributor.institutionDepartment of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB R3T 2N2, Canadaen
dc.identifier.arxividarXiv:1401.6145en
kaust.authorElsawy, Heshamen
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