In this paper, we focus on intelligent reflecting surface (IRS) assisted multi-antenna communications with transceiver hardware impairments encountered in practice. In particular, we aim to maximize the received signal-to-noise ratio (SNR) taking into account the impact of hardware impairments, where the source transmit beamforming and the IRS reflect beamforming are jointly designed under the proposed optimization framework. To circumvent the non-convexity of the formulated design problem, we first derive a closed-form optimal solution to the source transmit beamforming. Then, for the optimization of IRS reflect beamforming, we obtain an upper bound to the optimal objective value via solving a single convex problem. A low-complexity minorization-maximization (MM) algorithm was developed to approach the upper bound. Simulation results demonstrate that the proposed beamforming design is more robust to the hardware impairments than that of the conventional SNR maximized scheme. Moreover, compared to the scenario without deploying an IRS, the performance gain brought by incorporating the hardware impairments is more evident for the IRS-aided communications.

中文翻译：

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具有收发器硬件损坏的 IRS 辅助通信的波束成形优化

在本文中，我们专注于智能反射面 (IRS) 辅助多天线通信，并在实践中遇到收发器硬件损伤。特别是，考虑到硬件损伤的影响，我们的目标是最大化接收信噪比 (SNR)，其中源发射波束成形和 IRS 反射波束成形是在所提出的优化框架下联合设计的。为了规避公式化设计问题的非凸性，我们首先推导出源发射波束成形的闭式最优解。然后，对于IRS反射波束形成的优化，我们通过解决单个凸问题获得最优目标值的上限。开发了一种低复杂度的最小化最大化 (MM) 算法来接近上限。仿真结果表明，与传统的 SNR 最大化方案相比，所提出的波束成形设计对硬件损伤具有更强的鲁棒性。此外，与没有部署 IRS 的场景相比，结合硬件损伤带来的性能提升对于 IRS 辅助通信更为明显。