arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.11548cs.ITmath.IT
收藏

非相干MIMO多址信道的联合星座设计

Joint Constellation Design for Noncoherent MIMO Multiple-Access Channels

Khac-Hoang Ngo, Sheng Yang, Maxime Guillaud, Alexis Decurninge

摘要:

本文研究了非相干多输入多输出多址信道(MAC)下的联合星座设计问题。通过对非相干最大似然检测误差的分析,提出了新的设计准则,以最小化错误概率。作为一个基线的方法,我们适应几个现有的设计标准的点到点通道的MAC。此外,我们提出了新的设计标准。我们提出的第一个设计指标是在成对错误概率指数的非渐近下限和上限的主导项。利用Hermitian正定矩阵流形上的黎曼距离给出了该界的一个几何解释。从高信噪比下对该度量的分析中,我们得到了进一步简化的度量。对于任何给定的星座大小集合,可以在星座符号集合上优化所提出的度量。出于简化的度量,我们提出了一个简单的星座结构,包括在分区的单用户星座。我们还提供了一个概括我们以前提出的建设的基础上预编码个别星座的较低的维度。对于固定的联合星座,设计度量可以在每用户发射功率上进一步优化,特别是当用户以不同速率发射时。考虑到酉空时调制,我们研究了将每个单独的星座图构建为一组由各自的发射功率缩放的截断酉矩阵的选项。数值结果表明,我们提出的指标是有意义的,并可以作为目标,通过数值优化,表现更好,对于相同的传输速率和功率约束,比一个共同的基于导频的计划和星座优化与现有的指标生成星座。

英文摘要:

We consider the joint constellation design problem for the noncoherent multiple-input multiple-output multiple-access channel (MAC). By analyzing the noncoherent maximum-likelihood detection error, we propose novel design criteria so as to minimize the error probability. As a baseline approach, we adapt several existing design criteria for the point-to-point channel to the MAC. Furthermore, we propose new design criteria. Our first proposed design metric is the dominating term in nonasymptotic lower and upper bounds on the pairwise error probability exponent. We give a geometric interpretation of the bound using Riemannian distance in the manifold of Hermitian positive definite matrices. From an analysis of this metric at high signal-to-noise ratio, we obtain further simplified metrics. For any given set of constellation sizes, the proposed metrics can be optimized over the set of constellation symbols. Motivated by the simplified metric, we propose a simple constellation construction consisting in partitioning a single-user constellation. We also provide a generalization of our previously proposed construction based on precoding individual constellations of lower dimensions. For a fixed joint constellation, the design metrics can be further optimized over the per-user transmit power, especially when the users transmit at different rates. Considering unitary space-time modulation, we investigate the option of building each individual constellation as a set of truncated unitary matrices scaled by the respective transmit power. Numerical results show that our proposed metrics are meaningful, and can be used as objectives to generate constellations through numerical optimization that perform better, for the same transmission rate and power constraint, than a common pilot-based scheme and the constellations optimized with existing metrics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑