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Power scaling for multi-pair massive MIMO two-way relaying system under Rician fading

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Abstract

In this work, we investigate a massive multi-input multi-output two-way relaying system, where K pairs single-antenna users exchange information through a relay station equipped with N (\(N\ge 2K\)) antennas, employing the amplify-and-forward protocol and maximum ratio combining/maximum ratio transmission beamforming. Considering Rician fading channel with imperfect channel state information (CSI), we study the achievable sum rate and energy efficiency (EE) performance of the considered system. Firstly, we obtain the asymptotic results of the achievable sum rate and the EE, assuming a general power scaling scheme. It is shown that when \(N\rightarrow \infty \), the pilot sequences’ power, i.e., \(P_P\), each user’s transmit power, i.e., \(P_U\), and the relay station’s transmit power \(P_R\) can be scaled down proportionally to \(1/N^a\), \(1/N^a\) and \(1/N^b\), respectively, where \(a\ge 0\) and \(b\ge 0\). Specifically, when perfect CSI is known and Rician factor \(\kappa =0\), our derived results reduce to the existing results in Rayleigh fading channel. Furthermore, the closed-form expressions of the achievable sum rate and EE are obtained approximately. Finally, simulation results are provided to confirm the validity of our analysis.

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Notes

  1. In this work, we assume the two communication phases, i.e., MA and BC phases, have the same transmission time. If not, the coefficient 1 / 2 does not hold.

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Acknowledgements

Young and middle-aged academic leaders of Yangzhou University, National Natural Science Foundation of China (Grant No. 61472343), Natural Science Foundation of Jiangsu Province (BK20170512), the Sichuan Science and Technology Program under Grant 2017HH0035, the NSFC project under Grant 61501382, the Fundamental Research Funds for the Central Universities under Grant 2682018CX27, and Yangzhou University International Academic Exchange Fund support this work.

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Authors and Affiliations

  1. School of Information Engineering, Yangzhou University, Yangzhou, China

    Dongqin Gu, Jing Yang & Rui Gao

  2. Department of Electrical and Electronic Engineering, Kyushu Institute of Technology, Kitakyushu, Japan

    Dongqin Gu

  3. Southwest Jiaotong University, Chengdu, China

    Xianfu Lei

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  1. Dongqin Gu
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  2. Jing Yang
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  3. Xianfu Lei
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Correspondence to Jing Yang.

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Gu, D., Yang, J., Lei, X. et al. Power scaling for multi-pair massive MIMO two-way relaying system under Rician fading. Telecommun Syst 72, 401–412 (2019). https://doi.org/10.1007/s11235-019-00568-6

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