The robust principles of treating interference as noise (TIN) when it is sufficiently weak, and avoiding it when it is not, form the background of this work. Combining TIN with the topological interference management (TIM) framework that identifies optimal interference avoidance schemes, we formulate a TIM-TIN problem for multilevel topological interference management, wherein only a coarse knowledge of channel strengths and no knowledge of channel phases is available to transmitters. To address the TIM-TIN problem, we first propose an analytical baseline approach, which decomposes a network into TIN and TIM components, allocates the signal power levels to each user in the TIN component, allocates signal vector space dimensions to each user in the TIM component, and guarantees that the product of the two is an achievable number of signal dimensions available to each user in the original network. Next, a distributed numerical algorithm called ZEST is developed. The convergence of the algorithm is demonstrated, leading to the duality of the TIM-TIN problem in terms of generalized degrees-of-freedom (GDoF). Numerical results are also provided to demonstrate the superior sum-rate performance and fast convergence of ZEST.

中文翻译：

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多级拓扑干扰管理：TIM-TIN 视角

当干扰足够弱时将干扰视为噪声 (TIN) 并在不弱时避免干扰的稳健原则构成了这项工作的背景。将 TIN 与识别最佳干扰避免方案的拓扑干扰管理 (TIM) 框架相结合，我们为多级拓扑干扰管理制定了 TIM-TIN 问题，其中发射机只能获得信道强度的粗略知识而没有信道相位知识。为了解决 TIM-TIN 问题，我们首先提出了一种分析基线方法，该方法将网络分解为 TIN 和 TIM 组件，在 TIN 组件中为每个用户分配信号功率电平，在 TIM 中为每个用户分配信号向量空间维度成分，并保证两者的乘积是原始网络中每个用户可用的可实现数量的信号维度。接下来，开发了一种称为 ZEST 的分布式数值算法。证明了算法的收敛性，导致 TIM-TIN 问题在广义自由度 (GDoF) 方面的对偶性。还提供了数值结果以证明 ZEST 优越的总速率性能和快速收敛。