Secret-key agreement over spatially correlated multiple-antenna channels in the low-SNR regime

Handle URI:
http://hdl.handle.net/10754/595374
Title:
Secret-key agreement over spatially correlated multiple-antenna channels in the low-SNR regime
Authors:
Zorgui, Marwen ( 0000-0003-4397-2021 ) ; Rezki, Zouheir; Alomair, Basel; Jorswieck, Eduard A.; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
We consider secret-key agreement with public discussion over Rayleigh fast-fading channels with transmit, receive and eavesdropper correlation. The legitimate receiver along with the eavesdropper are assumed to have perfect channel knowledge while the transmitter has only knowledge of the correlation matrices. We analyze the secret-key capacity in the low signal-to-noise ratio (SNR) regime. We derive closed-form expressions for the first and the second derivatives of the secret-key capacity with respect to SNR at SNR= 0, for arbitrary correlation matrices and number of transmit, receive and eavesdropper antennas. Moreover, we identify optimal transmission strategies achieving these derivatives. For instance, we prove that achieving the first and the second derivatives requires a uniform power distribution between the eigenvectors spanning the maximal-eigenvalue eigenspace of the transmit correlation matrix. We also compare the optimal transmission scheme to a simple uniform power allocation. Finally, we express the minimum energy required for sharing a secret-key bit as well as the wideband slope in terms of the system parameters.
KAUST Department:
Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 IEEE Conference on Communications and Network Security (CNS)
Conference/Event name:
2015 IEEE Conference on Communications and Network Security (CNS)
Issue Date:
28-Sep-2015
DOI:
10.1109/CNS.2015.7346902
Type:
Conference Paper
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7346902
Appears in Collections:
Conference Papers; Electrical Engineering Program; 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.authorJorswieck, Eduard A.en
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2016-02-01T13:51:03Zen
dc.date.available2016-02-01T13:51:03Zen
dc.date.issued2015-09-28en
dc.identifier.doi10.1109/CNS.2015.7346902en
dc.identifier.urihttp://hdl.handle.net/10754/595374en
dc.description.abstractWe consider secret-key agreement with public discussion over Rayleigh fast-fading channels with transmit, receive and eavesdropper correlation. The legitimate receiver along with the eavesdropper are assumed to have perfect channel knowledge while the transmitter has only knowledge of the correlation matrices. We analyze the secret-key capacity in the low signal-to-noise ratio (SNR) regime. We derive closed-form expressions for the first and the second derivatives of the secret-key capacity with respect to SNR at SNR= 0, for arbitrary correlation matrices and number of transmit, receive and eavesdropper antennas. Moreover, we identify optimal transmission strategies achieving these derivatives. For instance, we prove that achieving the first and the second derivatives requires a uniform power distribution between the eigenvectors spanning the maximal-eigenvalue eigenspace of the transmit correlation matrix. We also compare the optimal transmission scheme to a simple uniform power allocation. Finally, we express the minimum energy required for sharing a secret-key bit as well as the wideband slope in terms of the system parameters.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7346902en
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.subjectMIMO systemsen
dc.subjectSecret-key agreementen
dc.subjectbeamformingen
dc.subjectcorrelationen
dc.subjectenergy efficiencyen
dc.subjectlow-SNR regimeen
dc.titleSecret-key agreement over spatially correlated multiple-antenna channels in the low-SNR regimeen
dc.typeConference Paperen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2015 IEEE Conference on Communications and Network Security (CNS)en
dc.conference.date28-30 Sept. 2015en
dc.conference.name2015 IEEE Conference on Communications and Network Security (CNS)en
dc.conference.locationFlorenceen
dc.eprint.versionPost-printen
dc.contributor.institutionThe National Center for Cybersecurity Technology (C4C) King Abdulaziz City for Science and Technology, Riyadh, Saudi Arabiaen
dc.contributor.institutionTechnische Universit¨at Dresden, Germanyen
kaust.authorZorgui, Marwenen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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