On the secrecy capacity of the MISO wiretap channel under imperfect channel estimation

Zouheir Rezki, Basel Alomair, Mohamed-Slim Alouini

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

11 Scopus citations

Abstract

We consider a wiretap channel consisting of a source with multiple antennas, a legitimate receiver and an eavesdropper with a single antenna each. The channels between the source and the receivers undergo fast fading. We assume that the transmitter, in addition to the statistics of both channels, is only aware of a noisy version of the CSI to the legitimate receiver referred to as main channel. The legitimate receiver is aware of both its instantaneous channel gain and the transmitter's estimate of the main channel. On the other hand, the eavesdropper's receiver, in addition to its instantaneous channel realization, is aware of the actual main CSI and the transmitter's estimate as well. While the capacity of this channel is still open even with perfect CSI at the transmitter, we provide in this paper upper and lower bounds on the secrecy capacity. The upper bound is tighter than the one corresponding to perfect main CSI and the gap between the two upper bounds is characterized in function of the channel estimation error variance, at high-SNR. Furthermore, we show that our upper and lower bounds coincide in the case of no main CSI providing a trivial secrecy capacity.
Original languageEnglish (US)
Title of host publication2014 IEEE Global Communications Conference
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1602-1607
Number of pages6
ISBN (Print)9781479935116
DOIs
StatePublished - Dec 2014

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