# Secure Multiple-Antenna Block-Fading Wiretap Channels with Limited CSI Feedback

Handle URI:
http://hdl.handle.net/10754/625262
Title:
Secure Multiple-Antenna Block-Fading Wiretap Channels with Limited CSI Feedback
Authors:
Hyadi, Amal ( 0000-0002-0707-1405 ) ; Rezki, Zouheir ( 0000-0002-6491-3648 ) ; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, we investigate the ergodic secrecy capacity of a block-fading wiretap channel with limited channel knowledge at the transmitter. We consider that the legitimate receiver, the eavesdropper and the transmitter are equipped with multiple antennas and that the receiving nodes are aware of their respective channel matrices. The transmitter, on the other hand, is only provided by a B-bit feedback of the main channel state information. The feedback bits are sent by the legitimate receiver, at the beginning of each fading block, over an error-free public link with limited capacity. The statistics of the main and the eavesdropper channel state information are known at all nodes. Assuming an average transmit power constraint, we establish upper and lower bounds on the ergodic secrecy capacity. Then, we present a framework to design the optimal codebooks for feedback and transmission. In addition, we show that the proposed lower and upper bounds coincide asymptotically as the capacity of the feedback link becomes large, i.e. <formula> <tex>$B \rightarrow \infty$</tex> </formula>; hence, fully characterizing the ergodic secrecy capacity in this case. Besides, we analyze the asymptotic behavior of the presented secrecy rates, at high Signal-to-Noise Ratio (SNR), and evaluate the gap between the bounds.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Hyadi A, Rezki Z, Alouini M-S (2017) Secure Multiple-Antenna Block-Fading Wiretap Channels with Limited CSI Feedback. IEEE Transactions on Wireless Communications: 1–1. Available: http://dx.doi.org/10.1109/TWC.2017.2727043.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Wireless Communications
Issue Date:
18-Jul-2017
DOI:
10.1109/TWC.2017.2727043
Type:
Article
ISSN:
1536-1276
The research reported in this publication was supported by CRG 2 grant from the Office of Sponsored Research at King Abdullah University of Science and Technology (KAUST).
http://ieeexplore.ieee.org/document/7983457/
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

DC FieldValue Language
dc.contributor.authorRezki, Zouheiren
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-07-26T06:19:10Z-
dc.date.available2017-07-26T06:19:10Z-
dc.date.issued2017-07-18en
dc.identifier.citationHyadi A, Rezki Z, Alouini M-S (2017) Secure Multiple-Antenna Block-Fading Wiretap Channels with Limited CSI Feedback. IEEE Transactions on Wireless Communications: 1–1. Available: http://dx.doi.org/10.1109/TWC.2017.2727043.en
dc.identifier.issn1536-1276en
dc.identifier.doi10.1109/TWC.2017.2727043en
dc.identifier.urihttp://hdl.handle.net/10754/625262-
dc.description.abstractIn this paper, we investigate the ergodic secrecy capacity of a block-fading wiretap channel with limited channel knowledge at the transmitter. We consider that the legitimate receiver, the eavesdropper and the transmitter are equipped with multiple antennas and that the receiving nodes are aware of their respective channel matrices. The transmitter, on the other hand, is only provided by a B-bit feedback of the main channel state information. The feedback bits are sent by the legitimate receiver, at the beginning of each fading block, over an error-free public link with limited capacity. The statistics of the main and the eavesdropper channel state information are known at all nodes. Assuming an average transmit power constraint, we establish upper and lower bounds on the ergodic secrecy capacity. Then, we present a framework to design the optimal codebooks for feedback and transmission. In addition, we show that the proposed lower and upper bounds coincide asymptotically as the capacity of the feedback link becomes large, i.e. <formula> <tex>$B \rightarrow \infty$</tex> </formula>; hence, fully characterizing the ergodic secrecy capacity in this case. Besides, we analyze the asymptotic behavior of the presented secrecy rates, at high Signal-to-Noise Ratio (SNR), and evaluate the gap between the bounds.en
dc.description.sponsorshipThe research reported in this publication was supported by CRG 2 grant from the Office of Sponsored Research at King Abdullah University of Science and Technology (KAUST).en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7983457/en
dc.rights(c) 2017 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.subjectErgodic secrecy capacityen
dc.subjectchannel state informationen
dc.subjectmultiple-antennaen
dc.subjectlimited feedbacken
dc.subjecthigh SNRen
dc.titleSecure Multiple-Antenna Block-Fading Wiretap Channels with Limited CSI Feedbacken
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.institutionElectrical and Computer Engineering Department, University of Idaho, Moscow, ID, USen