On the capacity of multiple access and broadcast fading channels with full channel state information at low SNR

Handle URI:
http://hdl.handle.net/10754/563315
Title:
On the capacity of multiple access and broadcast fading channels with full channel state information at low SNR
Authors:
Rezki, Zouheir; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
We study the throughput capacity region of the Gaussian multi-access (MAC) fading channel with perfect channel state information (CSI) at the receiver and at the transmitters, at low power regime. We show that it has a multidimensional rectangle structure and thus is simply characterized by single user capacity points.More specifically, we show that at low power regime, the boundary surface of the capacity region shrinks to a single point corresponding to the sum rate maximizer and that the coordinates of this point coincide with single user capacity bounds. Inspired from this result, we propose an on-off scheme, compute its achievable rate, and show that this scheme achieves single user capacity bounds of the MAC channel for a wide class of fading channels at asymptotically low power regime. We argue that this class of fading encompasses all known wireless channels for which the capacity region of the MAC channel has even a simpler expression in terms of users' average power constraints only. Using the duality of Gaussian MAC and broadcast channels (BC), we deduce a simple characterization of the BC capacity region at low power regime and show that for a class of fading channels (including Rayleigh fading), time-sharing is asymptotically optimal. © 2014 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Wireless Communications
Issue Date:
Jan-2014
DOI:
10.1109/TWC.2013.120113.130895
ARXIV:
arXiv:1310.8532
Type:
Article
ISSN:
15361276
Sponsors:
This work was funded by a Competitive Research Grant (CRG2) from the Office of Competitive Research Funding (OCRF) at KAUST.
Additional Links:
http://arxiv.org/abs/arXiv:1310.8532v1
Appears in Collections:
Articles; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-03T11:45:32Zen
dc.date.available2015-08-03T11:45:32Zen
dc.date.issued2014-01en
dc.identifier.issn15361276en
dc.identifier.doi10.1109/TWC.2013.120113.130895en
dc.identifier.urihttp://hdl.handle.net/10754/563315en
dc.description.abstractWe study the throughput capacity region of the Gaussian multi-access (MAC) fading channel with perfect channel state information (CSI) at the receiver and at the transmitters, at low power regime. We show that it has a multidimensional rectangle structure and thus is simply characterized by single user capacity points.More specifically, we show that at low power regime, the boundary surface of the capacity region shrinks to a single point corresponding to the sum rate maximizer and that the coordinates of this point coincide with single user capacity bounds. Inspired from this result, we propose an on-off scheme, compute its achievable rate, and show that this scheme achieves single user capacity bounds of the MAC channel for a wide class of fading channels at asymptotically low power regime. We argue that this class of fading encompasses all known wireless channels for which the capacity region of the MAC channel has even a simpler expression in terms of users' average power constraints only. Using the duality of Gaussian MAC and broadcast channels (BC), we deduce a simple characterization of the BC capacity region at low power regime and show that for a class of fading channels (including Rayleigh fading), time-sharing is asymptotically optimal. © 2014 IEEE.en
dc.description.sponsorshipThis work was funded by a Competitive Research Grant (CRG2) from the Office of Competitive Research Funding (OCRF) at KAUST.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://arxiv.org/abs/arXiv:1310.8532v1en
dc.subjectBroadcasten
dc.subjectCapacity regionen
dc.subjectErgodic capacityen
dc.subjectFading channelen
dc.subjectLow poweren
dc.subjectLow-SNRen
dc.subjectMulti-accessen
dc.subjectOn-off signalingen
dc.titleOn the capacity of multiple access and broadcast fading channels with full channel state information at low SNRen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journalIEEE Transactions on Wireless Communicationsen
dc.identifier.arxividarXiv:1310.8532en
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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