Secure Diversity-Multiplexing Tradeoff of Zero-Forcing Transmit Scheme at Finite-SNR

Author

Rezki, Zouheir ; Alouini, Mohamed-Slim

Author_Institution

Electr. Eng. Program, King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia

Volume

60

Issue

4

fYear

2012

fDate

4/1/2012 12:00:00 AM

Firstpage

1138

Lastpage

1147

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.

Keywords

MIMO communication; diversity reception; multiplexing; probability; telecommunication security; DMT; MIMO wiretap channel; asymptotic analysis; asymptotic secrecy diversity gain; eavesdropper channel; finite-SNR; multiple input multiple output channel; orthogonal space; outage probability; secrecy constraint; secrecy multiplexing gain; secure diversity-multiplexing tradeoff; signal-to-noise ratio; zero-forcing transmit scheme; Diversity methods; MIMO; Multiplexing; Signal to noise ratio; Upper bound; Diversity-multiplexing tradeoff; MIMO wiretap; finite-SNR; secrecy capacity; secrecy outage probability; zero-forcing transmit scheme;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/TCOMM.2012.021712.100703

Filename

6155696