Energy efficiency (EE) is a key issue in energy-constrained wireless networks because of the energy scarcity. In this paper, we present the robust energy-efficient optimization design for multiple-input-multiple-output two-way relay networks with simultaneous wireless information and power transfer, where the available channel state information is considered to be imperfect. We model the channel errors by using the norm bounded model, and aim to maximize the worst-case EE by jointly designing the precoders of the sources and relay, and the power splitting ratio of the relay under the worst-case transmit power constraints at the sources and relay. To solve the robust EE optimization problem, we propose an iterative optimization algorithm based on the weighted minimum mean-square-error method, where the S-procedure and sign-definiteness lemma are employed to eliminate the channel errors. To balance the performance and complexity, we propose a channel diagonalization algorithm based on the generalized singular value decomposition, which has lower complexity. The effectiveness of the proposed algorithms is shown by numerical results.

中文翻译：

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带有SWIPT的MIMO两路中继网络中的能效稳健优化

由于能源稀缺，能源效率（EE）是能源受限的无线网络中的关键问题。在本文中，我们针对具有同时无线信息和功率传输的多输入多输出双向中继网络，提出了鲁棒的节能优化设计，其中可用信道状态信息被认为是不完善的。我们使用范数有界模型对信道误差进行建模，并旨在通过共同设计源和中继的预编码器以及在最坏情况下发射功率约束条件下的中继功率分配比来最大化最坏情况下的EE。源和中继。为解决鲁棒的EE优化问题，我们提出了一种基于加权最小均方误差方法的迭代优化算法，其中采用S程序和符号定性引理来消除信道错误。为了平衡性能和复杂度，我们提出了一种基于广义奇异值分解的信道对角化算法，该算法具有较低的复杂度。数值结果表明了所提算法的有效性。