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

2011/12/27 by Zouheir Rezki, Mohamed‐Slim Alouini, Rezki, Zouheir +1
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1112.5953

openalex publication_date 2011/12/27 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this paper, we address the finite Signal-to-Noise Ratio (SNR)\nDiversity-Multiplexing Tradeoff (DMT) of the Multiple Input Multiple Output\n(MIMO) wiretap channel, where a Zero-Forcing (ZF) transmit scheme, that intends\nto send the secret information in the orthogonal space of the eavesdropper\nchannel, is used. First, we introduce the secrecy multiplexing gain at\nfinite-SNR that generalizes the definition at high-SNR. Then, we provide upper\nand lower bounds on the outage probability under secrecy constraint, from which\nsecrecy diversity gain estimates of ZF are derived. Through asymptotic\nanalysis, we show that the upper bound underestimates the secrecy diversity\ngain, whereas the lower bound is tight at high-SNR, and thus its related\ndiversity gain estimate is equal to the actual asymptotic secrecy diversity\ngain of the MIMO wiretap channel.\n

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