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DNF–AF Selection Two-Way Relaying

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Abstract

Error propagation and noise propagation at the relay node would highly degrade system performance in two-way relay networks. In this paper, we introduce DNF–AF selection two-way relaying scheme which aims to avoid error propagation and mitigate noise propagation. If the relay successfully decodes the exclusive or (XOR) of the messages sent by the two transceivers, it applies denoise-and-forward (DNF). Otherwise, amplify-and-forward (AF) strategy will be utilized. In this way, decoding error propagation is avoided at the relay. Meanwhile, since the relay attempts to decode the XOR of the two messages instead of explicitly decoding the two messages, the larger usable range of XOR network coding can be obtained. As XOR network coding can avoid noise propagation, DNF–AF would mitigate noise propagation. In addition, bit error rate (BER) performance of DNF–AF selection scheme with BPSK modulation is theoretically analyzed in this paper. Numerical results verify that the proposed scheme has better BER performance than existing ones.

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Notes

  1. We assume that the difference between \(P_1\) and \(P_2\) is not large, then successive interference cancelation (SIC) is not suitable.

  2. In the proposed scheme, we donot proceed according to the correctness of the decoded pair. Instead, we proceed according to the correctness of the XOR of the two decoded messages.

  3. Please refer to the Appendix for detailed derivation.

  4. With respect to the labeling of DF-JM, the optimal labeling scheme is applied in Scenario 1: symmetric scenario (Figs. 2 and 4 ) and the improved labeling map shown in Fig.1(c) of [19] is utilized for Scenario 2: asymmetric scenario (Figs. 3 and 5).

  5. The difference between \(P_r\) and \(P_1=P_2\) is \(0\) when \(\alpha =\frac{1}{3}\). If \(\alpha >\frac{1}{3}\), the increase of \(\alpha \) will result in the increase of the difference.

  6. In the simulations, we first set \(\beta =0.1,0.15,0.2,0.25,0.3,\ldots ,0.8\), and next set \(\gamma =0.1,\ldots ,1-\beta -0.1\) to guarantee that all power allocations are positive.

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Acknowledgments

This work is partially supported by the National Basic Research Program of China (973 Program) under Grants 2013CB336600 and 2012CB316000, the NSFC Excellent Young Investigator Program under grant 61322111, MoE New Century Talent Program under grant NCET- 12-0302, Beijing Nova Program under grant Z121101002512051, National Science and Technology Key Project under grants 2013ZX03003006-005 and 2013ZX03003004-002

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong Normal University, Jinan, 250014, China

    Tian Zhang

  2. Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China

    Wei Chen & Zhigang Cao

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  1. Tian Zhang
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  2. Wei Chen
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  3. Zhigang Cao
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Correspondence to Tian Zhang.

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Zhang, T., Chen, W. & Cao, Z. DNF–AF Selection Two-Way Relaying. Wireless Pers Commun 80, 805–818 (2015). https://doi.org/10.1007/s11277-014-2042-2

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