论文标题
空中计算网络的合作干扰管理
Cooperative Interference Management for Over-the-Air Computation Networks
论文作者
论文摘要
本文考虑了一个多细胞AIRCOMP网络，并研究了多个细胞上的最佳功率控制策略，以调节细胞间干扰的效果。首先，我们考虑集中式多细胞功率控制的方案，在其中，我们通过最大程度地减少对单个MSE的一组约束来表征多细胞MSE区域的帕累托边界。尽管总和最小化的问题是非凸且其直接解决方案棘手的问题，但我们通过等效地解决凸二阶锥体程序的可行性问题以及二级搜索来最佳解决此问题。接下来，我们在其他情况下考虑分布式功率控制，而没有集中式控制器，为此，提出了一种基于IT的替代方法来表征相同的MSE Pareto边界，并启用了分散的功率控制算法。因此，每个AP只需要单独控制其相关设备的功能，而要受到对邻近单元的干扰的一组限制，而不同的AP可以通过成对信息交换在迭代中进行合作，以实现帕累托（PareTo-Timep），以实现帕累托（Pareto）最佳的MSE元组。最后，仿真结果表明，使用所提出的算法进行合作功率控制可以大大减少AIRCOMP网络的总和。
This paper considers a multi-cell AirComp network and investigates the optimal power control policies over multiple cells to regulate the effect of inter-cell interference. First, we consider the scenario of centralized multi-cell power control, where we characterize the Pareto boundary of the multi-cell MSE region by minimizing the sum MSE subject to a set of constraints on individual MSEs. Though the sum-MSE minimization problem is non-convex and its direct solution intractable, we optimally solve this problem via equivalently solving a sequence of convex second-order cone program feasibility problems together with a bisection search. Next, we consider distributed power control in the other scenario without a centralized controller, for which an alternative IT-based method is proposed to characterize the same MSE Pareto boundary, and enable a decentralized power control algorithm. Accordingly, each AP only needs to individually control the power of its associated devices, but subject to a set of IT constraints on their interference to neighboring cells, while different APs can cooperate in iteratively updating the IT levels by pairwise information exchange, to achieve a Pareto-optimal MSE tuple. Last, simulation results demonstrate that cooperative power control using the proposed algorithms can substantially reduce the sum MSE of AirComp networks.
