Secure diversity-multiplexing tradeoff of zero-forcing transmit scheme at finite-SNR

Zouheir Rezki, Mohamed-Slim Alouini

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this paper, we address the finite Signal-to-Noise Ratio (SNR) Diversity-Multiplexing Tradeoff (DMT) of the Multiple Input Multiple Output (MIMO) wiretap channel, where a Zero-Forcing (ZF) transmit scheme, that intends to send the secret information in the orthogonal space of the eavesdropper channel, is used. First, we introduce the secrecy multiplexing gain at finite-SNR that generalizes the definition at high-SNR. Then, we provide upper and lower bounds on the outage probability under secrecy constraint, from which secrecy diversity gain estimates of ZF are derived. Through asymptotic analysis, we show that the upper bound underestimates the secrecy diversity gain, whereas the lower bound is tight at high-SNR, and thus its related diversity gain estimate is equal to the actual asymptotic secrecy diversity gain of the MIMO wiretap channel. © 2012 IEEE.
Original languageEnglish (US)
Pages (from-to)1138-1147
Number of pages10
JournalIEEE Transactions on Communications
Volume60
Issue number4
DOIs
StatePublished - Feb 22 2012

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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