论文标题
镜像Prox算法，用于大规模无单元的大型MIMO上行链路电源控制
Mirror Prox Algorithm for Large-Scale Cell-Free Massive MIMO Uplink Power Control
论文作者
论文摘要
我们考虑了不受使用者功率约束的无上行链路大规模多输入（MIMO）的最大限制大型多输入多输出（MIMO）的最大最大公平性问题。解决考虑的问题的标准框架是分别解决两个子问题：接收器滤波器系数设计和功率控制问题。虽然前者具有封闭形式的解决方案，但已使用高计算复杂性的二阶方法或提供近似解决方案的一阶方法来解决后者。为了解决现有方法的这些缺点，我们通过将其等效地将其作为凸 - 孔concave问题进行重新定义并应用镜像Prox算法来找到鞍点，从而提出了一种基于镜像的权力控制问题的方法。仿真结果确定了提出的解决方案的最佳性，并证明它比已知方法更有效。我们还得出结论，对于大规模的无细胞大规模MIMO，线性接收组合和功率控制的关节优化提供了比仅电力控制方案更明显更好的用户公平性，在该方案中，接收器系数固定为统一。
We consider the problem of max-min fairness for uplink cell-free massive multiple-input multiple-output (MIMO) subject to per-user power constraints. The standard framework for solving the considered problem is to separately solve two subproblems: the receiver filter coefficient design and the power control problem. While the former has a closed-form solution, the latter has been solved using either second-order methods of high computational complexity or a first-order method that provides an approximate solution. To deal with these drawbacks of the existing methods, we propose a mirror prox based method for the power control problem by equivalently reformulating it as a convex-concave problem and applying the mirror prox algorithm to find a saddle point. The simulation results establish the optimality of the proposed solution and demonstrate that it is more efficient than the known methods. We also conclude that for large-scale cell-free massive MIMO, joint optimization of linear receive combining and power control provides significantly better user fairness than the power control only scheme in which receiver coefficients are fixed to unity.
