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    Ergodic secret message capacity of the wiretap channel with finite-rate feedback

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    Type
    Article
    Authors
    Rezki, Zouheir
    Khisti, Ashish
    Alouini, Mohamed-Slim
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Communication Theory Lab
    Date
    2014-06
    Permanent link to this record
    http://hdl.handle.net/10754/563579
    
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    Abstract
    We study the secret message capacity of an ergodic block fading wiretap channel with partial channel state information at the transmitter and perfect channel state information at the receivers, under both a short term power constraint (STPC) and a long term power constraint (LTPC). We consider that in addition to the statistics of the main and the eavesdropper channel state information (CSI), the sender is provided by the legitimate receiver with a q-bit feedback, at the beginning of each coherence block, through an error-free public channel, with capacity q bits. We establish upper and lower bounds on the secrecy capacity. We show that the lower and the upper bounds coincide asymptotically as q → ∞. When applied to Rayleigh fading channels, we show that, a 4-bit feedback achieves about 90% of the secrecy capacity when perfect main CSI is available at the transmitter. Finally, asymptotic analysis at high and low Signal-to-Noise Ratio (SNR) is presented. It is found that the capacity is bounded at high-SNR, whereas at asymptotically low-SNR, the lower bounds and the upper bound scale linearly with SNR under STPC. Furthermore, subject to LTPC, the capacity at low-SNR is equal to the capacity of the main channel without secrecy constraint and with perfect CSI at both the transmitter and the receiver, under a mild condition on the fading statistics. We also show that a positive secrecy rate is achievable even when the feedback is at the end of each coherence block and q=1. © 2002-2012 IEEE.
    Citation
    Rezki, Z., Khisti, A., & Alouini, M.-S. (2014). Ergodic Secret Message Capacity of the Wiretap Channel with Finite-Rate Feedback. IEEE Transactions on Wireless Communications, 13(6), 3364–3379. doi:10.1109/twc.2014.041014.131593
    Sponsors
    This publication was made possible by NPRP grant 5-603-2-243 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Wireless Communications
    DOI
    10.1109/TWC.2014.041014.131593
    Additional Links
    http://ieeexplore.ieee.org/document/6799317/
    http://www.comm.utoronto.ca/%7Eakhisti/twireless14.pdf
    ae974a485f413a2113503eed53cd6c53
    10.1109/TWC.2014.041014.131593
    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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