In this paper, we study a multi-pair two-way half-duplex decode-and-forward (DF) massive multiple-input multiple-output (MIMO) relaying system, in which multiple single-antenna user pairs can exchange information through a massive MIMO relay. For low-complexity processing, zero-forcing reception/zero-forcing transmission (ZFR/ZFT) is employed at the relay. First, we analytically study the large-scale approximations of the sum spectral efficiency (SE). Furthermore, we focus on three specific power scaling laws to study the trade-off between the transmit powers of each pilot symbol, each user and the relay, and also focus on how the transmit powers scale with the number of relay antennas, $M$ , to maintain a finite SE performance. Additionally, we consider a practical power consumption model to investigate the energy efficiency (EE), and illustrate the impact of $M$ and the interplay between the power scaling laws and the EE performance. Finally, we consider the system fairness via maximizing the minimum achievable SE among all user pairs.

中文翻译：

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具有零迫迫的多对双向大规模 MIMO 中继：能效和功率缩放定律

在本文中，我们研究了一种多对双向半双工解码转发 (DF) 大规模多输入多输出 (MIMO) 中继系统，其中多个单天线用户对可以通过一个大规模 MIMO 中继。对于低复杂度处理，中继采用强制零接收/强制零传输 (ZFR/ZFT)。首先，我们分析研究总频谱效率 (SE) 的大规模近似值。此外，我们专注于三个特定的功率缩放定律来研究每个导频符号、每个用户和中继的发射功率之间的权衡，并且还关注发射功率如何随中继天线的数量而缩放， 百万美元 ，以保持有限的 SE 性能。此外，我们考虑了一个实际的功耗模型来研究能源效率 (EE)，并说明了 百万美元 以及功率缩放定律和 EE 性能之间的相互作用。最后，我们通过最大化所有用户对中的最小可实现 SE 来考虑系统公平性。