论文标题
封闭形式的最大功率控制，用于某些无细胞和无细胞的大型MIMO网络
Closed-form max-min power control for some cellular and cell-free massive MIMO networks
论文作者
论文摘要
用于细胞和无细胞大规模MIMO网络的电源控制问题的许多常见实例可以解释为涉及仿射干扰映射和多面体约束的Max-Min实用性优化问题。我们表明，这些问题承认封闭式解决方案取决于已知矩阵的光谱半径。相比之下，使用基于一分子方法或固定点迭代的迭代算法间接获得了文献中先前的解决方案。此外，我们还为最佳实用程序显示了渐近的紧密绑定，这又提供了一个简单的经验法则，用于评估网络是否在噪声或干扰有限的制度中运行。我们最终通过专注于无细胞大型MIMO网络的经典Max-Min公平能力控制来说明我们的结果。
Many common instances of power control problems for cellular and cell-free massive MIMO networks can be interpreted as max-min utility optimization problems involving affine interference mappings and polyhedral constraints. We show that these problems admit a closed-form solution which depends on the spectral radius of known matrices. In contrast, previous solutions in the literature have been indirectly obtained using iterative algorithms based on the bisection method, or on fixed-point iterations. Furthermore, we also show an asymptotically tight bound for the optimal utility, which in turn provides a simple rule of thumb for evaluating whether the network is operating in the noise or interference limited regime. We finally illustrate our results by focusing on classical max-min fair power control for cell-free massive MIMO networks.
