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

Handle URI:
http://hdl.handle.net/10754/563579
Title:
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, under both a short term power constraint (STPC) and a long term power constraint (LTPC). 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 public channel, with capacity q bits. We establish upper and lower bounds on the secrecy capacity. We show that the lower and the upper bounds coincide asymptotically as q → ∞. When applied to Rayleigh fading channels, we show that, a 4-bit feedback achieves about 90% of the secrecy capacity when perfect main CSI is available at the transmitter. Finally, asymptotic analysis at high and low Signal-to-Noise Ratio (SNR) is presented. It is found that the capacity is bounded at high-SNR, whereas at asymptotically low-SNR, the lower bounds and the upper bound scale linearly with SNR under STPC. Furthermore, subject to LTPC, the capacity at low-SNR is equal to the capacity of the main channel without secrecy constraint and with perfect CSI at both the transmitter and the receiver, under a mild condition on the fading statistics. We also show that a positive secrecy rate is achievable even when the feedback is at the end of each coherence block and q=1. © 2002-2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Wireless Communications
Issue Date:
Jun-2014
DOI:
10.1109/TWC.2014.041014.131593
Type:
Article
ISSN:
15361276
Sponsors:
This publication was made possible by NPRP grant 5-603-2-243 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors.
Appears in Collections:
Articles; 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.accessioned2015-08-03T11:54:54Zen
dc.date.available2015-08-03T11:54:54Zen
dc.date.issued2014-06en
dc.identifier.issn15361276en
dc.identifier.doi10.1109/TWC.2014.041014.131593en
dc.identifier.urihttp://hdl.handle.net/10754/563579en
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, under both a short term power constraint (STPC) and a long term power constraint (LTPC). 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 public channel, with capacity q bits. We establish upper and lower bounds on the secrecy capacity. We show that the lower and the upper bounds coincide asymptotically as q → ∞. When applied to Rayleigh fading channels, we show that, a 4-bit feedback achieves about 90% of the secrecy capacity when perfect main CSI is available at the transmitter. Finally, asymptotic analysis at high and low Signal-to-Noise Ratio (SNR) is presented. It is found that the capacity is bounded at high-SNR, whereas at asymptotically low-SNR, the lower bounds and the upper bound scale linearly with SNR under STPC. Furthermore, subject to LTPC, the capacity at low-SNR is equal to the capacity of the main channel without secrecy constraint and with perfect CSI at both the transmitter and the receiver, under a mild condition on the fading statistics. We also show that a positive secrecy rate is achievable even when the feedback is at the end of each coherence block and q=1. © 2002-2012 IEEE.en
dc.description.sponsorshipThis publication was made possible by NPRP grant 5-603-2-243 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectARQ feedbacken
dc.subjectcapacity of fading channelsen
dc.subjecthigh-SNRen
dc.subjectlow-SNRen
dc.subjectproactive feedbacken
dc.subjectSecrecy capacityen
dc.titleErgodic secret message capacity of the wiretap channel with finite-rate feedbacken
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journalIEEE Transactions on Wireless Communicationsen
dc.contributor.institutionElectrical and Computer Engineering Department, University of Toronto, Toronto, ON, Canadaen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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