In cell-free massive multiple-input multiple-output (MIMO) networks, robust resource allocation is critical to ensure reliable system performance in the presence of channel uncertainties resulting from imperfect channel state information (CSI). In this work, we propose a robust power allocation method that formulates the power optimization problem into a least-squares framework, enhanced by Tikhonov regularization to mitigate the adverse effects of channel estimation errors. We integrate our approach with zero-forcing precoding, enabling a design that is both computationally efficient and resilient to CSI imperfections. Numerical results indicate that the proposed method outperforms existing non-robust techniques while benefiting from low computational overhead, making it well-suited for large-scale deployments under CSI uncertainty.

翻译：在无蜂窝大规模多输入多输出（MIMO）网络中，鲁棒资源分配对于确保系统在存在由不完善信道状态信息（CSI）引起的信道不确定性时仍能保持可靠性能至关重要。本研究提出一种鲁棒功率分配方法，将功率优化问题构建为最小二乘框架，并通过Tikhonov正则化增强以减轻信道估计误差的不利影响。我们将该方法与迫零预编码相结合，实现了兼具计算高效性和对CSI缺陷鲁棒性的设计方案。数值结果表明，所提方法在保持低计算开销优势的同时，其性能优于现有非鲁棒技术，使其特别适用于CSI不确定条件下的大规模网络部署。