Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy

Ender Tekin, Aylin Yener

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

    50 Citations (Scopus)

    Abstract

    We consider the General Gaussian Multiple Access Wire-Tap Channel (GGMAC-WT). In this scenario, multiple users communicate with an intended receiver in the presence of an intelligent and informed eavesdropper who is as capable as the intended receiver, but has different channel parameters. We aim to provide perfect secrecy for the transmitters in this multi-access environment. Using Gaussian codebooks, an achievable secrecy region is determined and the power allocation that maximizes the achievable sum-rate is found. Numerical results showing the new rate region are presented. It is shown that the multiple-access nature of the channel may be utilized to allow users with zero single-user secrecy capacity to be able to transmit in perfect secrecy. In addition, a new collaborative scheme is shown that may increase the achievable sum-rate. In this scheme, a user who would not transmit to maximize the sum rate can help another user who (i) has positive secrecy capacity to increase its rate, or (ii) has zero secrecy capacity to achieve a positive secrecy capacity.

    Original languageEnglish (US)
    Title of host publication44th Annual Allerton Conference on Communication, Control, and Computing 2006
    PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
    Pages809-816
    Number of pages8
    Volume2
    ISBN (Electronic)9781604237924
    StatePublished - 2006
    Event44th Annual Allerton Conference on Communication, Control, and Computing 2006 - Monticello, United States
    Duration: Sep 27 2006Sep 29 2006

    Other

    Other44th Annual Allerton Conference on Communication, Control, and Computing 2006
    CountryUnited States
    CityMonticello
    Period9/27/069/29/06

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    Transmitters
    Wire

    All Science Journal Classification (ASJC) codes

    • Computer Science Applications
    • Computer Networks and Communications

    Cite this

    Tekin, E., & Yener, A. (2006). Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy. In 44th Annual Allerton Conference on Communication, Control, and Computing 2006 (Vol. 2, pp. 809-816). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.
    Tekin, Ender ; Yener, Aylin. / Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy. 44th Annual Allerton Conference on Communication, Control, and Computing 2006. Vol. 2 University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2006. pp. 809-816
    @inproceedings{a029fc188118491cb97861b893bd520b,
    title = "Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy",
    abstract = "We consider the General Gaussian Multiple Access Wire-Tap Channel (GGMAC-WT). In this scenario, multiple users communicate with an intended receiver in the presence of an intelligent and informed eavesdropper who is as capable as the intended receiver, but has different channel parameters. We aim to provide perfect secrecy for the transmitters in this multi-access environment. Using Gaussian codebooks, an achievable secrecy region is determined and the power allocation that maximizes the achievable sum-rate is found. Numerical results showing the new rate region are presented. It is shown that the multiple-access nature of the channel may be utilized to allow users with zero single-user secrecy capacity to be able to transmit in perfect secrecy. In addition, a new collaborative scheme is shown that may increase the achievable sum-rate. In this scheme, a user who would not transmit to maximize the sum rate can help another user who (i) has positive secrecy capacity to increase its rate, or (ii) has zero secrecy capacity to achieve a positive secrecy capacity.",
    author = "Ender Tekin and Aylin Yener",
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    language = "English (US)",
    volume = "2",
    pages = "809--816",
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    publisher = "University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering",

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    Tekin, E & Yener, A 2006, Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy. in 44th Annual Allerton Conference on Communication, Control, and Computing 2006. vol. 2, University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, pp. 809-816, 44th Annual Allerton Conference on Communication, Control, and Computing 2006, Monticello, United States, 9/27/06.

    Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy. / Tekin, Ender; Yener, Aylin.

    44th Annual Allerton Conference on Communication, Control, and Computing 2006. Vol. 2 University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering, 2006. p. 809-816.

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

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    Tekin E, Yener A. Achievable rates for the general Gaussian multiple access wire-tap channel with collective secrecy. In 44th Annual Allerton Conference on Communication, Control, and Computing 2006. Vol. 2. University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering. 2006. p. 809-816