In this work, we propose a robust planning tool that allocates power statically in homogeneous and heterogeneous cellular networks with non-regular base station (BTS) placement, to mitigate interference and improve overall performance. Each BTS will use the total available spectrum, but it will divide it into multiple sub-bands, and each BTS will transmit with a specific pre-computed power on each sub-band. We refer to such a power allocation as a power map. Our offline planning tool computes a robust power map for a given topology, by solving a non-convex, non-linear optimization problem, through simple transformations, based on geometric programming. The power map is computed based solely on the network topology, and it is made available to all BTSs that use it throughout the network operation to perform scheduling using a fast quasi-optimal online algorithm that we propose. We evaluate our planning tool for different homogeneous and heterogeneous networks (HetNets), first in a static setting where scheduling is performed optimally and then in a dynamic setting when scheduling is performed with our online scheduler. Results show that our solution significantly outperforms a classical equal power/fixed frequency reuse scheme in terms of sum-rate, by up to 30% in homogeneous networks and by up to 70% in HetNets.

中文翻译：

---

多小区同构和异构网络的稳健规划和运营

在这项工作中，我们提出了一种稳健的规划工具，该工具可以在具有非规则基站 (BTS) 放置的同构和异构蜂窝网络中静态分配功率，以减轻干扰并提高整体性能。每个 BTS 将使用全部可用频谱，但会将其划分为多个子带，每个 BTS 将在每​​个子带上以特定的预先计算的功率进行传输。我们将这种功率分配称为功率图。我们的离线规划工具通过基于几何编程的简单变换解决非凸非线性优化问题，为给定拓扑计算稳健的功率图。功率图仅根据网络拓扑计算，它可供在整个网络操作中使用它的所有 BTS 使用，以使用我们提出的快速准最优在线算法执行调度。我们针对不同的同构和异构网络 (HetNets) 评估我们的规划工具，首先在静态设置中以最佳方式执行调度，然后在使用我们的在线调度程序执行调度时在动态设置中进行评估。结果表明，我们的解决方案在总速率方面明显优于经典的等功率/固定频率复用方案，在同构网络中高达 30%，在 HetNets 中高达 70%。首先在静态设置中以最佳方式执行调度，然后在动态设置中使用我们的在线调度程序执行调度。结果表明，我们的解决方案在总速率方面明显优于经典的等功率/固定频率重用方案，在同构网络中高达 30%，在 HetNets 中高达 70%。首先在静态设置中以最佳方式执行调度，然后在动态设置中使用我们的在线调度程序执行调度。结果表明，我们的解决方案在总速率方面明显优于经典的等功率/固定频率重用方案，在同构网络中高达 30%，在 HetNets 中高达 70%。