MIMO broadcast channel with arbitrarily varying eavesdropper channel: Secrecy degrees of freedom

Xiang He, Ashish Khisti, Aylin Yener

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

    16 Scopus citations

    Abstract

    A two-receiver MIMO broadcast-wiretap channel is considered where the channel state of the eavesdropper is arbitrarily varying. It is assumed that the eavesdropper knows this channel state perfectly whereas the legitimate nodes have no knowledge of it. It is further assumed that the eavesdropper experiences no additive noise. The channel between the transmitter and the two legitimate receivers is a constant MIMO Gaussian broadcast channel. This paper establishes the secrecy degrees of freedom region for transmitting a common-confidential message as well as a private- confidential message to each receiver. It is observed that a straightforward extension of single user random binning does not achieve the optimal secrecy degrees of freedom (s.d.o.f.) region. The proposed coding scheme that achieves the s.d.o.f. region involves simultaneous diagonalization of the channel matrices of the two legitimate receivers using the generalized singular value decomposition (GSVD) as well as a particular structured binning across codebooks that minimizes the rate of the fictitious message. While the focus is on achieving weak secrecy for ease of exposition, an outline is provided on how the results can be extended for achieving strong secrecy.

    Original languageEnglish (US)
    Title of host publication2011 IEEE Global Telecommunications Conference, GLOBECOM 2011
    DOIs
    StatePublished - 2011
    Event54th Annual IEEE Global Telecommunications Conference: "Energizing Global Communications", GLOBECOM 2011 - Houston, TX, United States
    Duration: Dec 5 2011Dec 9 2011

    Publication series

    NameGLOBECOM - IEEE Global Telecommunications Conference

    Other

    Other54th Annual IEEE Global Telecommunications Conference: "Energizing Global Communications", GLOBECOM 2011
    CountryUnited States
    CityHouston, TX
    Period12/5/1112/9/11

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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