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Secrecy Rate of Two-Hop AF Relaying Networks with an Untrusted Relay

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Abstract

Two cooperative communication protocols, two-way and one-way half-duplex relayings, are investigated and then compared in the amplify-and-forward (AF) mode. The relay is assumed to play the roles of eavesdropper and relay (i.e., an untrusted relay). With a fair power constraint at each node, the secrecy rate of the one-way relaying protocol is proved to be zero strictly. For the two-way relaying protocol, the signal-to-noise ratio (SNR) threshold is derived, above which the secrecy rate is non-zero. Defining a parameter, namely mistrust level, and non-zero secrecy rate can be achieved for the one-way relaying protocol in certain range of the mistrust level at high SNR. With a fair total power constraint, no matter how unreliable the relay is, the two-way AF half-duplex relaying protocol is proved to be a better choice under high SNR.

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Acknowledgments

The authors thank the anonymous reviewers for the valuable comments and suggestions. The work is supported by the National Natural Science Foundation of China (Grant Nos. 61262084 and 61141007), the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20132BAB201019 and 20114BAB201018), the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (Grant No. 20122BCB23002), and the Opening Project of Shanghai Key Laboratory of Integrate Administration Technologies for Information Security (No. AGK2012005).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Nanrun Zhou, Xun Chen & Chisheng Li

  2. Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai, 200240, China

    Nanrun Zhou, Xun Chen & Zhi Xue

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  1. Nanrun Zhou
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  2. Xun Chen
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Correspondence to Nanrun Zhou.

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Zhou, N., Chen, X., Li, C. et al. Secrecy Rate of Two-Hop AF Relaying Networks with an Untrusted Relay. Wireless Pers Commun 75, 119–129 (2014). https://doi.org/10.1007/s11277-013-1351-1

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  • DOI: https://doi.org/10.1007/s11277-013-1351-1

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