On the ergodic secret message capacity of the wiretap channel with finite-rate feedback

Handle URI:
http://hdl.handle.net/10754/564579
Title:
On the ergodic secret message capacity of the wiretap channel with finite-rate feedback
Authors:
Rezki, Zouheir; Khisti, Ashish J.; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
We study the secret message capacity of an ergodic block fading wiretap channel with partial channel state information at the transmitter and perfect channel state information at the receivers. We consider that in addition to the statistics of the main and the eavesdropper channel state information (CSI), the sender is provided by the legitimate receiver with a q-bit feedback, at the beginning of each coherence block, through an error-free feedback channel, with capacity q bits. We establish upper and lower bounds on the secrecy capacity. We show that a positive secrecy rate is achievable even when the feedback is at the end of each coherence block and q = 1. We also show that the lower and the upper bounds coincide asymptotically as q → ∞. Finally, asymptotic analysis at high Signal-to-Noise Ratio (SNR) are presented where it is found that the capacity is bounded at high-SNR and present a simple suboptimal scalar quantizer that is capacity achieving, without the need of any numerical optimization, as q → ∞. When applied to Rayleigh fading channels, we show that, at high-SNR, a 4-bit feedback achieves 90% of the secrecy capacity when perfect main CSI is available at the transmitter. © 2012 IEEE.
KAUST Department:
Electrical Engineering Program; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2012 IEEE International Symposium on Information Theory Proceedings
Conference/Event name:
2012 IEEE International Symposium on Information Theory, ISIT 2012
Issue Date:
Jul-2012
DOI:
10.1109/ISIT.2012.6283944
Type:
Conference Paper
ISBN:
9781467325790
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; 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.authorKhisti, Ashish J.en
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-04T07:04:24Zen
dc.date.available2015-08-04T07:04:24Zen
dc.date.issued2012-07en
dc.identifier.isbn9781467325790en
dc.identifier.doi10.1109/ISIT.2012.6283944en
dc.identifier.urihttp://hdl.handle.net/10754/564579en
dc.description.abstractWe study the secret message capacity of an ergodic block fading wiretap channel with partial channel state information at the transmitter and perfect channel state information at the receivers. We consider that in addition to the statistics of the main and the eavesdropper channel state information (CSI), the sender is provided by the legitimate receiver with a q-bit feedback, at the beginning of each coherence block, through an error-free feedback channel, with capacity q bits. We establish upper and lower bounds on the secrecy capacity. We show that a positive secrecy rate is achievable even when the feedback is at the end of each coherence block and q = 1. We also show that the lower and the upper bounds coincide asymptotically as q → ∞. Finally, asymptotic analysis at high Signal-to-Noise Ratio (SNR) are presented where it is found that the capacity is bounded at high-SNR and present a simple suboptimal scalar quantizer that is capacity achieving, without the need of any numerical optimization, as q → ∞. When applied to Rayleigh fading channels, we show that, at high-SNR, a 4-bit feedback achieves 90% of the secrecy capacity when perfect main CSI is available at the transmitter. © 2012 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectARQ-feedbacken
dc.subjectblock fadingen
dc.subjecthigh SNRen
dc.subjectSecrecy capacityen
dc.titleOn the ergodic secret message capacity of the wiretap channel with finite-rate feedbacken
dc.typeConference Paperen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journal2012 IEEE International Symposium on Information Theory Proceedingsen
dc.conference.date1 July 2012 through 6 July 2012en
dc.conference.name2012 IEEE International Symposium on Information Theory, ISIT 2012en
dc.conference.locationCambridge, MAen
dc.contributor.institutionElectrical and Computer Engineering Department, University of Toronto, Toronto, ON, Canadaen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.