The massive multiple-input multiple-output (MIMO) full-duplex two-way relaying (FD-TWR) literature has extensively investigated power scaling for rate guarantees by considering a fixed number of users. We investigate the pairwise error probability (PEP) and the per-user rate of a FD-TWR with $N_{r}$ relay antennas that employs maximal ratio combining/transmission to enable two-way communication between $K$ FD users. We propose novel relay and user powers scalings, with both $N_{r}$ and $K$ tending to infinity, and show that the PEP of each user converges almost surely to its AWGN counterpart. These power scalings are different from the existing ones, which are derived by fixing $K$ and by assuming that only $N_{r}$ tends to large values. We show that the analysis developed herein applies to both Gaussian and non-Gaussian complex channels with finite number of moments. We numerically show that when both $K$ and $N_{r}$ increase concurrently to large values, the proposed power scaling schemes not only have better per-user PEP and rate than the existing schemes, but they are also robust to the FD self loop-interference power.

中文翻译：

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AF全双工Massive MIMO双向MRC/MRT中继大系统分析

大规模多输入多输出 (MIMO) 全双工双向中继 (FD-TWR) 文献通过考虑固定数量的用户广泛研究了速率保证的功率缩放。我们研究了 FD-TWR 的成对错误概率 (PEP) 和每用户速率 $N_{r}$ 中继天线采用最大比率组合/传输来实现之间的双向通信 $K$ FD 用户。我们提出了新颖的中继和用户权力缩放，同时 $N_{r}$ 和 $K$ 趋于无穷大，并表明每个用户的 PEP 几乎肯定会收敛到其 AWGN 对应物。这些功率缩放与现有的不同，它是通过固定 $K$ 并假设只有 $N_{r}$ 倾向于大值。我们表明，此处开发的分析适用于具有有限矩数的高斯和非高斯复通道。我们用数字表明，当两者 $K$ 和 $N_{r}$ 同时增加到较大的值，所提出的功率缩放方案不仅比现有方案具有更好的每用户 PEP 和速率，而且它们对 FD 自环路干扰功率也具有鲁棒性。