有限精度蜂窝网络CSIT：GDoF多小区TIN的最优性和多小区协作的极大增益
Cellular Networks With Finite Precision CSIT: GDoF Optimality of Multi-Cell TIN and Extremal Gains of Multi-Cell Cooperation
摘要：
研究了有限精度信道状态信息下蜂窝网络的广义自由度。我们认为下行链路设置建模的干扰广播信道（IBC）下没有多小区合作，和过载的多输入单输出广播信道（MISO-BC）下充分多小区合作。我们专注于三种感兴趣的制度：mc-TIN制度，其中一个计划的基础上处理小区间干扰噪声（mc-TIN）被证明是GDoF最佳的IBC的mc-CTIN制度，其中的GDoF区域可实现的mc-TIN是凸的，而不需要分时;以及扩展先前识别的机制的mc-SLS机制，其中简单分层叠加（SLS）方案对于3-发射机-3-用户MISO-BC是最佳的，到用户多于发射机的过载蜂窝型网络。我们首先表明，MC-TIN的IBC的最优扩展到整个MC-CTIN制度时，CSIT是有限的精度。这个结果的逆证明依赖于对齐图像边界的新应用。然后，我们扩展IBC的逆证明对应的过载MISO-BC，通过使充分的发射机合作。这反过来又被用来表明，SLS方案的多小区变体在完全多小区合作下的mc-SLS机制中是最佳的，尽管仅用于2小区网络。GDoF区域压倒性的组合复杂性阻碍了将这一结果扩展到更大的网络。或者，我们呼吁极值网络分析，最近介绍了陈等人，并研究在三种感兴趣的机制中多小区协作在mc-TIN上的GDoF增益。我们表明，这种极端的GDoF增益是有界的小常数在mc-TIN和mc-CTIN制度，但规模与细胞的数量在mc-SLS制度。
英文摘要：
We study the generalized degrees-of-freedom (GDoF) of cellular networks under finite precision channel state information at the transmitters (CSIT). We consider downlink settings modeled by the interfering broadcast channel (IBC) under no multi-cell cooperation, and the overloaded multiple-input-single-output broadcast channel (MISO-BC) under full multi-cell cooperation. We focus on three regimes of interest: the mc-TIN regime, where a scheme based on treating inter-cell interference as noise (mc-TIN) was shown to be GDoF optimal for the IBC; the mc-CTIN regime, where the GDoF region achievable by mc-TIN is convex without the need for time-sharing; and the mc-SLS regime which extends a previously identified regime, where a simple layered superposition (SLS) scheme is optimal for the 3-transmitter-3-user MISO-BC, to overloaded cellular-type networks with more users than transmitters. We first show that the optimality of mc-TIN for the IBC extends to the entire mc-CTIN regime when CSIT is limited to finite precision. The converse proof of this result relies on a new application of aligned images bounds. We then extend the IBC converse proof to the counterpart overloaded MISO-BC, obtained by enabling full transmitter cooperation. This, in turn, is utilized to show that a multi-cell variant of the SLS scheme is optimal in the mc-SLS regime under full multi-cell cooperation, albeit only for 2-cell networks. The overwhelming combinatorial complexity of the GDoF region stands in the way of extending this result to larger networks. Alternatively, we appeal to extremal network analysis, recently introduced by Chan et al., and study the GDoF gain of multi-cell cooperation over mc-TIN in the three regimes of interest. We show that this extremal GDoF gain is bounded by small constants in the mc-TIN and mc-CTIN regimes, yet scales logarithmically with the number of cells in the mc-SLS regime.
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