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    On the secrecy capacity of the MISO wiretap channel under imperfect channel estimation

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    Type
    Conference Paper
    Authors
    Rezki, Zouheir cc
    Alomair, Basel
    Alouini, Mohamed-Slim cc
    KAUST Department
    Communication Theory Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2014-12
    Permanent link to this record
    http://hdl.handle.net/10754/565013
    
    Metadata
    Show full item record
    Abstract
    We consider a wiretap channel consisting of a source with multiple antennas, a legitimate receiver and an eavesdropper with a single antenna each. The channels between the source and the receivers undergo fast fading. We assume that the transmitter, in addition to the statistics of both channels, is only aware of a noisy version of the CSI to the legitimate receiver referred to as main channel. The legitimate receiver is aware of both its instantaneous channel gain and the transmitter's estimate of the main channel. On the other hand, the eavesdropper's receiver, in addition to its instantaneous channel realization, is aware of the actual main CSI and the transmitter's estimate as well. While the capacity of this channel is still open even with perfect CSI at the transmitter, we provide in this paper upper and lower bounds on the secrecy capacity. The upper bound is tighter than the one corresponding to perfect main CSI and the gap between the two upper bounds is characterized in function of the channel estimation error variance, at high-SNR. Furthermore, we show that our upper and lower bounds coincide in the case of no main CSI providing a trivial secrecy capacity.
    Citation
    Rezki, Z., Alomair, B., & Alouini, M.-S. (2014). On the secrecy capacity of the MISO wiretap channel under imperfect channel estimation. 2014 IEEE Global Communications Conference. doi:10.1109/glocom.2014.7037037
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2014 IEEE Global Communications Conference
    Conference/Event name
    2014 IEEE Global Communications Conference, GLOBECOM 2014
    ISBN
    9781479935116
    DOI
    10.1109/GLOCOM.2014.7037037
    ae974a485f413a2113503eed53cd6c53
    10.1109/GLOCOM.2014.7037037
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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