The potential of deploying large-scale antenna arrays in future wireless systems has stimulated extensive research on hybrid transceiver designs aiming to approximate the optimal fully-digital schemes with much reduced hardware cost, and signal processing complexity. Generally, this hybrid transceiver structure requires a joint design of analog, and digital processing to enable both beamsteering, and spatial multiplexing gains. In this paper, we develop various weighted mean-square-error minimization (WMMSE) based hybrid transceiver designs for ${K}$-user multiple-input multiple-output (MIMO) interference systems, which are applicable to both millimeter wave (mmWave) channels, and Rayleigh fading channels. Firstly, a heuristic joint design of hybrid precoder, and combiner using alternating optimization is proposed, in which the majorization-minimization (MM) method is utilized to design the analog precoder, and combiner under unit-modulus constraints. It is demonstrated that this scheme achieves comparable performance to the fully-digital WMMSE solution. To further reduce the computational complexity, a phase projection based two-stage scheme is proposed to decouple the designs of the analog, and digital precoder/combiner. Secondly, inspired by the fully-digital solutions based on the block-diagonalization zero-forcing (BD-ZF), and signal-to-leakage-plus-noise ratio (SLNR) criteria, the low-complexity MM-based BD-ZF, and SLNR hybrid designs are proposed, respectively, for approximating the corresponding fully-digital solutions. Thirdly, the partially-connected hybrid structure conceived for reducing system hardware cost, and power consumption is considered, for which the MM-based alternating optimization algorithm still works. Our numerical results characterize the sum rate performance of all proposed hybrid designs in comparison to the existing benchmarks.

中文翻译：

---

用于 MIMO 干扰信道的多数化-最小化辅助混合收发器

在未来无线系统中部署大规模天线阵列的潜力激发了对混合收发器设计的广泛研究，旨在以大大降低的硬件成本和信号处理复杂性来近似最佳的全数字方案。通常，这种混合收发器结构需要模拟和数字处理的联合设计，以实现波束控制和空间复用增益。在本文中，我们为 ${K}$-user 多输入多输出 (MIMO) 干扰系统开发了各种基于加权均方误差最小化 (WMMSE) 的混合收发器设计，这些设计适用于毫米波 (mmWave ) 信道和瑞利衰落信道。首先，提出了一种混合预编码器和使用交替优化的组合器的启发式联合设计，其中利用主最小化（MM）方法设计模拟预编码器和单元模约束下的组合器。结果表明，该方案实现了与全数字 WMMSE 解决方案相当的性能。为了进一步降低计算复杂度，提出了一种基于相位投影的两阶段方案来解耦模拟和数字预编码器/组合器的设计。其次，受基于块对角化迫零 (BD-ZF) 和信噪比 (SLNR) 标准的全数字解决方案的启发，低复杂度的基于 MM 的 BD-ZF和 SLNR 混合设计分别被提出用于逼近相应的全数字解决方案。第三，为了降低系统硬件成本而构思的部分连接混合结构，并考虑了功耗，对此，基于 MM 的交替优化算法仍然有效。与现有基准相比，我们的数值结果表征了所有提议的混合设计的总速率性能。