Secure degrees of freedom of N ×n ×m wiretap channel with a K-antenna cooperative jammer

Mohamed Nafea, Aylin Yener

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

    12 Scopus citations


    The secure degrees of freedom (s.d.o.f.) of a multiantenna Gaussian wiretap channel with N antennas at the transmitter and receiver and an arbitrary number of antennas, M, at the wiretapper is characterized when a multiantenna cooperative jammer (CJ) is available as a helper. This generalizes our previous result that assumed the same number of antennas at the eavesdropper as the legitimate parties. In particular, for arbitrary values of N andM, the s.d.o.f. is derived for all possible values of the number of antenna at the CJ, K. The achievability is based on a variety of signalling, beamforming, and alignment techniques which vary according to the value of K, whether M is larger than, smaller than, or equal to N, and whether the s.d.o.f. is integer valued or not an integer. The converse is based on combining an upper bound for the s.d.o.f. which allows for cooperation between the transmitter and CJ and holds for some values of K, with another upper bound which exploits the secrecy and reliability constraints and holds for other values of K.

    Original languageEnglish (US)
    Title of host publication2015 IEEE International Conference on Communications, ICC 2015
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Number of pages6
    ISBN (Electronic)9781467364324
    StatePublished - Sep 9 2015
    EventIEEE International Conference on Communications, ICC 2015 - London, United Kingdom
    Duration: Jun 8 2015Jun 12 2015

    Publication series

    NameIEEE International Conference on Communications
    ISSN (Print)1550-3607


    OtherIEEE International Conference on Communications, ICC 2015
    Country/TerritoryUnited Kingdom

    All Science Journal Classification (ASJC) codes

    • Computer Networks and Communications
    • Electrical and Electronic Engineering


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