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Cooperative Transmissions in 5G Large-scale Relay Systems: How to Keep a Balance Between Performance and Complexity?

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Abstract

A well-known dilemma in large-scale cooperative systems is that the use of more relays can boost reception reliability but consume extra bandwidth resources due to the coordination among the relays. In this paper, the tradeoff between performance and complexity is studied in large-scale decode-and-forward (DF) relay systems. First, the cumulative distribution function (CDF) of the sum of the K-largest order statistics of N independent exponential random variables is developed. By using this result, the impact of different cooperation strategies to exploit relays on the tradeoff between system performance and complexity can be characterized. In particular, explicit expressions for the outage probability and the expected number of the used relays employed can be obtained for these strategies, and facilitate asymptotic studies of the addressed large-scale cooperative network. Then the performance of relay cooperation is also evaluated with the presence of channel estimation error. Finally, numerical results are provided to verify the accuracy of the developed theoretic results, and also demonstrate the performance and the complexity achieved by different relay cooperation strategies.

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Notes

  1. As shown by the evaluation results in [19, 20], the spatial correlation between different antennas can be negligible when the distance is large than 6λ, where λ is the wave length. Since the distance between different relays is much larger than that, it is reasonable to assume that spatial correlation can be neglected.

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Acknowledgments

This paper was supported in part by the Fundamental Research Funds for the Central Universities, the National Natural Science Foundation of China (Grant No. 61501045), the Beijing Natural Science Foundation (Grant No. 4131003), the Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP) (Grant No. 20120005140002), the National High Technology Research and Development Program (863 Program) of China under Grant No. 2014AA01A707.

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Authors and Affiliations

  1. Key Laboratory of Universal Wireless Communications (Ministry of Education), Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Zhongyuan Zhao, Mugen Peng, Yingna Ma & Yong Li

  2. Huawei Technologies Co., Ltd., Beijing, China

    Yang Changqing & Yong Wu

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  1. Zhongyuan Zhao
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  2. Mugen Peng
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  3. Yingna Ma
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  4. Yong Li
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  5. Yang Changqing
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  6. Yong Wu
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Correspondence to Mugen Peng.

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Zhao, Z., Peng, M., Ma, Y. et al. Cooperative Transmissions in 5G Large-scale Relay Systems: How to Keep a Balance Between Performance and Complexity?. J Sign Process Syst 83, 207–223 (2016). https://doi.org/10.1007/s11265-015-1062-9

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  • DOI: https://doi.org/10.1007/s11265-015-1062-9

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