The Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels

Handle URI:
http://hdl.handle.net/10754/581764
Title:
The Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels
Authors:
Zorgui, Marwen ( 0000-0003-4397-2021 ) ; Rezki, Zouheir; Alomair, Basel; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
We study the problem of secret-key agreement between two legitimate parties, Alice and Bob, in presence an of eavesdropper Eve. There is a public channel with unlimited capacity that is available to the legitimate parties and is also observed by Eve. Our focus is on Rayleigh fading quasi-static channels. The legitimate receiver and the eavesdropper are assumed to have perfect channel knowledge of their channels. We study the system in the high-power regime. First, we define the secret-key diversity gain and the secret-key multiplexing gain. Second, we establish the secret-key diversity multiplexing tradeoff (DMT) under no channel state information (CSI) at the transmitter (CSI-T). The eavesdropper is shown to “steal” only transmit antennas. We show that, likewise the DMT without secrecy constraint, the secret-key DMT is the same either with or without full channel state information at the transmitter. This insensitivity of secret-key DMT toward CSI-T features a fundamental difference between secret-key agreement and the wiretap channel, in which secret DMT depends heavily on CSI-T. Finally, we present several secret-key DMT-achieving schemes in case of full CSI-T. We argue that secret DMT-achieving schemes are also key DMT-achieving. Moreover, we show formally that artificial noise (AN), likewise zero-forcing (ZF), is DMT-achieving. We also show that the public feedback channel improves the outage performance without having any effect on the DMT.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
The Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels 2015:1 IEEE Transactions on Wireless Communications
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Wireless Communications
Issue Date:
26-Oct-2015
DOI:
10.1109/TWC.2015.2492963
Type:
Article
ISSN:
1536-1276
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7302068
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorZorgui, Marwenen
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlomair, Baselen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-11-05T06:07:33Zen
dc.date.available2015-11-05T06:07:33Zen
dc.date.issued2015-10-26en
dc.identifier.citationThe Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels 2015:1 IEEE Transactions on Wireless Communicationsen
dc.identifier.issn1536-1276en
dc.identifier.doi10.1109/TWC.2015.2492963en
dc.identifier.urihttp://hdl.handle.net/10754/581764en
dc.description.abstractWe study the problem of secret-key agreement between two legitimate parties, Alice and Bob, in presence an of eavesdropper Eve. There is a public channel with unlimited capacity that is available to the legitimate parties and is also observed by Eve. Our focus is on Rayleigh fading quasi-static channels. The legitimate receiver and the eavesdropper are assumed to have perfect channel knowledge of their channels. We study the system in the high-power regime. First, we define the secret-key diversity gain and the secret-key multiplexing gain. Second, we establish the secret-key diversity multiplexing tradeoff (DMT) under no channel state information (CSI) at the transmitter (CSI-T). The eavesdropper is shown to “steal” only transmit antennas. We show that, likewise the DMT without secrecy constraint, the secret-key DMT is the same either with or without full channel state information at the transmitter. This insensitivity of secret-key DMT toward CSI-T features a fundamental difference between secret-key agreement and the wiretap channel, in which secret DMT depends heavily on CSI-T. Finally, we present several secret-key DMT-achieving schemes in case of full CSI-T. We argue that secret DMT-achieving schemes are also key DMT-achieving. Moreover, we show formally that artificial noise (AN), likewise zero-forcing (ZF), is DMT-achieving. We also show that the public feedback channel improves the outage performance without having any effect on the DMT.en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7302068en
dc.rights(c) 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.titleThe Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channelsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIEEE Transactions on Wireless Communicationsen
dc.eprint.versionPost-printen
dc.contributor.institutionComputer Research Institute (CRI), King Abdulaziz City for Science and Technology (KACST), Riyadh 11442, Saudi Arabiaen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorZorgui, Marwenen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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