On the ergodic secrecy capacity of the wiretap channel under imperfect main channel estimation

Handle URI:
http://hdl.handle.net/10754/564455
Title:
On the ergodic secrecy capacity of the wiretap channel under imperfect main channel estimation
Authors:
Rezki, Zouheir; Khisti, Ashish J.; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
The ergodic secrecy capacity of the wiretap channel is known when the main channel (between the transmitter and the legitimate receiver) state information (CSI) is perfect at the transmitter and the coherence period is sufficiently large to enable random coding arguments in each block. In a fast fading scenario, when the codeword length spans many coherence periods, the secrecy capacity is still not known. In this paper, we present a framework that characterizes this secrecy capacity under imperfect main channel estimation at the transmitter. Inner and outer bounds on the ergodic secrecy capacity are derived for a class of independent identically distributed (i.i.d.) fading channels. The achievable rate is a simple on-off scheme using a Gaussian input. The upper bound is obtained using an appropriate correlation scheme of the main and the eavesdropper channels. The upper and the lower bounds coincide with recently derived ones in the perfect main CSI extreme. Furthermore, the lower bound matches the upper bound in no main CSI extreme, where the secrecy capacity is equal to zero. Numerical results are provided for independent identically distributed (i.i.d.) Rayleigh fading channels. © 2011 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:
2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)
Conference/Event name:
45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011
Issue Date:
Nov-2011
DOI:
10.1109/ACSSC.2011.6190151
Type:
Conference Paper
ISSN:
10586393
ISBN:
9781467303231
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.accessioned2015-08-04T07:01:26Zen
dc.date.available2015-08-04T07:01:26Zen
dc.date.issued2011-11en
dc.identifier.isbn9781467303231en
dc.identifier.issn10586393en
dc.identifier.doi10.1109/ACSSC.2011.6190151en
dc.identifier.urihttp://hdl.handle.net/10754/564455en
dc.description.abstractThe ergodic secrecy capacity of the wiretap channel is known when the main channel (between the transmitter and the legitimate receiver) state information (CSI) is perfect at the transmitter and the coherence period is sufficiently large to enable random coding arguments in each block. In a fast fading scenario, when the codeword length spans many coherence periods, the secrecy capacity is still not known. In this paper, we present a framework that characterizes this secrecy capacity under imperfect main channel estimation at the transmitter. Inner and outer bounds on the ergodic secrecy capacity are derived for a class of independent identically distributed (i.i.d.) fading channels. The achievable rate is a simple on-off scheme using a Gaussian input. The upper bound is obtained using an appropriate correlation scheme of the main and the eavesdropper channels. The upper and the lower bounds coincide with recently derived ones in the perfect main CSI extreme. Furthermore, the lower bound matches the upper bound in no main CSI extreme, where the secrecy capacity is equal to zero. Numerical results are provided for independent identically distributed (i.i.d.) Rayleigh fading channels. © 2011 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectimperfect channel estimationen
dc.subjecton-off signalingen
dc.subjectSecrecy capacityen
dc.titleOn the ergodic secrecy capacity of the wiretap channel under imperfect main channel estimationen
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.journal2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)en
dc.conference.date6 November 2011 through 9 November 2011en
dc.conference.name45th Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2011en
dc.conference.locationPacific Grove, CAen
dc.contributor.institutionElectrical and Computer Engineering Department, University of Toronto, Toronto, ON, Canadaen
kaust.authorRezki, Zouheiren
kaust.authorAlouini, Mohamed-Slimen
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