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

Zouheir Rezki, Ashish J. Khisti, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

15 Scopus citations

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.
Original languageEnglish (US)
Title of host publication2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages952-957
Number of pages6
ISBN (Print)9781467303231
DOIs
StatePublished - Nov 2011

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