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    On the secrecy capacity of the wiretap channel with imperfect main channel estimation

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    Type
    Article
    Authors
    Rezki, Zouheir cc
    Khisti, Ashish J.
    Alouini, Mohamed-Slim cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Communication Theory Lab
    Date
    2014-10
    Permanent link to this record
    http://hdl.handle.net/10754/563780
    
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    Abstract
    We study the secrecy capacity of fast fading channels under imperfect main channel (between the transmitter and the legitimate receiver) estimation at the transmitter. Lower and upper bounds on the ergodic secrecy capacity are derived for a class of independent identically distributed (i.i.d.) fading channels. The achievable rate follows from a standard wiretap code in which a simple on-off power control is employed along with a Gaussian input. The upper bound is obtained using an appropriate correlation scheme of the main and eavesdropper channels and is the best known upper bound so far. The upper and lower bounds coincide with recently derived ones in case of perfect main CSI. Furthermore, the upper bound is tight in case of no main CSI, where the secrecy capacity is equal to zero. Asymptotic analysis at high and low signal-to-noise ratio (SNR) is also given. At high SNR, we show that the capacity is bounded by providing upper and lower bounds that depend on the channel estimation error. At low SNR, however, we prove that the secrecy capacity is asymptotically equal to the capacity of the main channel as if there were no secrecy constraint. Numerical results are provided for i.i.d. Rayleigh fading channels.
    Citation
    Rezki, Z., Khisti, A., & Alouini, M.-S. (2014). On the Secrecy Capacity of the Wiretap Channel With Imperfect Main Channel Estimation. IEEE Transactions on Communications, 62(10), 3652–3664. doi:10.1109/tcomm.2014.2356482
    Sponsors
    This work was supported in part by the Qatar National Research Fund (a member of Qatar Foundation) under NPRP Grant 5-603-2-243. This work was presented in part at the 2011 IEEE Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, USA. The editor coordinating the review of this paper and approving it for publication was A. Thangaraj.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Communications
    DOI
    10.1109/TCOMM.2014.2356482
    Additional Links
    http://www.comm.utoronto.ca/%7Eakhisti/rezki-tcom.pdf.pdf
    ae974a485f413a2113503eed53cd6c53
    10.1109/TCOMM.2014.2356482
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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