Journal of Applied Sciences ›› 2014, Vol. 32 ›› Issue (2): 119-124.doi: 10.3969/j.issn.0255-8297.2014.02.002

• Communication Engineering • Previous Articles     Next Articles

Optimal Relay Function and Achievable Secrecy Rate in Orthogonal Relay-Eavesdropper Channel

CHEN Chi-yang1,2, DENG Zhi-xiang1, WANG Bao-yun2,3   

  1. 1. College of Communication and Information Engineering, Nanjing University of Posts and
    Telecommunications, Nanjing 210003, China
    2. National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
    3. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
  • Received:2012-05-18 Revised:2013-01-14 Online:2014-03-25 Published:2013-01-14

Abstract: In this paper, secret communication in an orthogonal relay-eavesdropper channel is studied in view of information-theoretical security. For an orthogonal relay-eavesdropper channel with instantaneous relay in which the present output depends only on the currently received signal, the achievable secrecy rate is
formulated. The achievable secrecy rate with piecewise linear(PL) relaying function is derived and computed numerically. A sub-optimal solution to this secrecy rate is obtained by optimizing the parameters of the piecewise linear function with an iterative grid search algorithm. The achievable secrecy rate with PL relaying is compared to that with amplify-and-forward (AF) relaying and decode-and-forward (DF) relaying by simulation. The results show that PL always outperforms AF, and outperforms DF when the source-relay link is poor. Meanwhile, compared with DF, PL relaying has lower complexity and lower time-delay.

Key words: orthogonal relay-eavesdropper channel, secrecy rate, piecewise linear relaying

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