多级拓扑干扰管理：TIM-TIN视角
Multilevel Topological Interference Management: A TIM-TIN Perspective
AI总结：
本文研究仅知粗略信道强度的多级拓扑干扰管理，提出结合TIN与TIM的解析基线及分布式ZEST算法，证明其收敛性与GDoF对偶，并验证其和速率与收敛优势。
摘要：
当干扰足够弱时将其当作噪声处理（TIN），而当其不够弱时则加以规避，这些稳健原则构成了本工作的背景。我们将TIN与用于识别最优干扰规避方案的拓扑干扰管理（TIM）框架相结合，针对多级拓扑干扰管理构建了一个TIM-TIN问题，其中发射机只能获得信道强度的粗略知识，而无法获得任何信道相位知识。为求解该TIM-TIN问题，我们首先提出一种解析基线方法：将网络分解为TIN和TIM两个组成部分，在TIN部分为每个用户分配信号功率层级，在TIM部分为每个用户分配信号向量空间维度，并保证两者的乘积等于原始网络中每个用户可获得的可实现信号维度数。随后，我们开发了一种名为ZEST的分布式数值算法。文中证明了该算法的收敛性，并由此得到TIM-TIN问题（在GDoF意义下）的对偶性。数值结果也表明，ZEST具有优越的和速率性能和快速收敛性。
英文摘要：
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 GDoF). Numerical results are also provided to demonstrate the superior sum-rate performance and fast convergence of ZEST.
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