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Distributed Rate Adaptation and Power Control in Fading Multiple Access Channels

机译：衰落多路访问信道中的分布式速率自适应和功率控制

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摘要

Traditionally, the capacity region of a coherent fading multiple access channel (MAC) is analyzed in two popular contexts. In the first, a centralized system with full channel state information at the transmitters (CSITs) is assumed, and the transmit power and data-rate can be jointly chosen for every fading vector realization. On the other hand, in fast-fading links with distributed CSIT, the lack of full CSI is compensated by performing ergodic averaging over sufficiently many channel realizations. Notice that the distributed CSI may necessitate decentralized power-control for optimal data-transfer. Apart from these two models, the case of slow-fading links and distributed CSIT, though relevant to many systems, has received much less attention. In this paper, a block-fading additive white Gaussian noise MAC with full CSI at the receiver and distributed CSI at the transmitters is considered. The links undergo independent fading, but otherwise have arbitrary fading distributions. The channel statistics and respective long-term average transmit powers are known to all parties. We first consider the case where each encoder has knowledge only of its own link quality, and not of others. For this model, we compute the adaptive capacity region, i.e., the collection of average rate-tuples under blockwise coding/decoding such that the rate-tuple for every fading realization is inside the instantaneous MAC capacity region. The key step in our solution is an optimal rate allocation function for any given set of distributed power control laws at the transmitters. This also allows us to structurally characterize the optimal power control for a wide class of fading models. Further extensions are also proposed for the case where each encoder has additional partial CSI about the other links.
机译：传统上，在两种流行的情况下分析相干衰落多址访问信道（MAC）的容量区域。首先，假设一个集中的系统在发射机（CSIT）上具有完整的信道状态信息，并且可以为每种衰落矢量实现共同选择发射功率和数据速率。另一方面，在具有分布式CSIT的快速衰落链路中，通过在足够多的信道实现上执行遍历平均来补偿缺少完整的CSI。请注意，分布式CSI可能需要进行分散式功率控制才能实现最佳数据传输。除了这两种模型，慢速衰落链路和分布式CSIT的情况虽然与许多系统相关，但受到的关注却很少。在本文中，考虑了在接收器具有完全CSI并且在发送器具有分布式CSI的块衰落加性高斯白噪声MAC。链路经历独立的衰落，但否则具有任意的衰落分布。各方都知道信道统计信息和相应的长期平均发射功率。我们首先考虑这样一种情况，即每个编码器仅了解其自身的链路质量，而不了解其他链路质量。对于此模型，我们计算自适应容量区域，即按块编码/解码的平均速率元组的集合，以使每次衰落实现的速率元组都在瞬时MAC容量区内。我们解决方案中的关键步骤是针对发射机中任何给定的分布式功率控制定律集的最优速率分配功能。这也使我们能够在结构上表征各种衰落模型的最佳功率控制。对于每个编码器具有关于其他链路的附加部分CSI的情况，还提出了进一步的扩展。

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