Secret-key agreement over spatially correlated fast-fading multiple-antenna channels with public discussion

Handle URI:
http://hdl.handle.net/10754/579540
Title:
Secret-key agreement over spatially correlated fast-fading multiple-antenna channels with public discussion
Authors:
Zorgui, Marwen ( 0000-0003-4397-2021 ) ; Rezki, Zouheir; Alomair, Basel; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
We consider secret-key agreement with public discussion over multiple-input multiple-output (MIMO) Rayleigh fast-fading channels under correlated environment. We assume that transmit, legitimate receiver and eavesdropper antennas are correlated. The legitimate receiver and the eavesdropper are assumed to have perfect channel knowledge while the transmitter has only knowledge of the correlation matrices. First, we derive the expression of the secret-key capacity under the considered setup. Then, we prove that the optimal transmit strategy achieving the secret-key capacity consists in transmitting independent Gaussian signals along the eingenvectors of the transmit correlation matrix. The powers allocated to each channel mode are determined as the solution to a numerical optimization problem that we derive. A necessary and sufficient condition for beamforming (i.e., transmitting along the strongest channel mode) to be capacity-achieving is derived. Finally, we analyze the impact of correlation matrices on the system performance and provide closed-form expressions of the gain/loss due to correlation in the high power regime.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 IEEE International Symposium on Information Theory (ISIT)
Conference/Event name:
2015 IEEE International Symposium on Information Theory (ISIT)
Issue Date:
14-Jun-2015
DOI:
10.1109/ISIT.2015.7282837
Type:
Conference Paper
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7282837
Appears in Collections:
Conference Papers; 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.accessioned2015-10-11T10:56:00Zen
dc.date.available2015-10-11T10:56:00Zen
dc.date.issued2015-06-14en
dc.identifier.doi10.1109/ISIT.2015.7282837en
dc.identifier.urihttp://hdl.handle.net/10754/579540en
dc.description.abstractWe consider secret-key agreement with public discussion over multiple-input multiple-output (MIMO) Rayleigh fast-fading channels under correlated environment. We assume that transmit, legitimate receiver and eavesdropper antennas are correlated. The legitimate receiver and the eavesdropper are assumed to have perfect channel knowledge while the transmitter has only knowledge of the correlation matrices. First, we derive the expression of the secret-key capacity under the considered setup. Then, we prove that the optimal transmit strategy achieving the secret-key capacity consists in transmitting independent Gaussian signals along the eingenvectors of the transmit correlation matrix. The powers allocated to each channel mode are determined as the solution to a numerical optimization problem that we derive. A necessary and sufficient condition for beamforming (i.e., transmitting along the strongest channel mode) to be capacity-achieving is derived. Finally, we analyze the impact of correlation matrices on the system performance and provide closed-form expressions of the gain/loss due to correlation in the high power regime.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7282837en
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.titleSecret-key agreement over spatially correlated fast-fading multiple-antenna channels with public discussionen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2015 IEEE International Symposium on Information Theory (ISIT)en
dc.conference.date14-19 June 2015en
dc.conference.name2015 IEEE International Symposium on Information Theory (ISIT)en
dc.conference.locationHong Kong, Hong Kongen
dc.eprint.versionPost-printen
dc.contributor.institutionThe National Center for Cybersecurity Technology (C4C) King Abdulaziz City for Science and Technology, Riyadh, Saudi Arabiaen
kaust.authorZorgui, Marwenen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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