上行非相干海量MIMO信道的最优有限字母NOMA方案设计

Yang Yu, Peiyao Chen, Jian-Kang Zhang
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引用次数: 1

摘要

本文的主要重点是一个上行通信系统,其中多个单天线用户使用相同的频段,同时将有限的字母信号传输到一个具有大量天线的基站。假设小尺度信道衰落为瑞利衰落,且在每一个时隙内变化,大尺度信道衰落系数在发送端和接收端都是固定且已知的。对于这种上行链路非正交多址大规模MIMO系统,我们旨在建立一种新的准则,利用非相干最大似然检测器来协同设计所有这样的用户群,一旦每个接收到的和信号点被恢复,所有用户信号点都可以唯一确定,即所有用户群形成一个所谓的加性唯一可分解星座群(AUDCG)。为此,我们首先推导了一种针对接收和星座的快速非相干ML检测算法和相应的封闭形式符号错误概率公式(SEP)。因此,引入了两个重要的概念:完全接收器分集和几何编码增益,以定量表征当基站天线数量趋于无穷大时SEP衰减的速度。然后,将最优AUDCG的设计形式化化为在每个用户功率约束下使接收机分集和几何编码增益最大化的优化问题。特别是对于双用户系统,当每个用户发送非负二进制星座时,得到了一个最优闭形式和星座。计算机仿真结果表明,本文提出的最优星座设计在相同的上行链路大规模MIMO系统中显著优于现有的星座设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Design of Optimal Finite Alphabet NOMA Scheme for Uplink Noncoherent Massive MIMO Channels
The main focus of this paper is on an uplink communication system with multiple single-antenna users utilizing the same frequency band and simultaneously transmitting their finite alphabet signals to one base station having a large number of antennas. It is assumed that small scale channel fading is Rayleigh fading and varies in every one time slot, and that the large scale fading coefficients are fixed and known at both the transmitter and the receiver. For such uplink non-orthogonal multiple access massive MIMO system, we aim at establishing a new criterion using a noncoherent maximum likelihood detector for collaboratively designing all such user constellations that once each received sum signal point has been recovered, all the user signal points can be uniquely determined, i.e., all the user constellations form a so called additively uniquely decomposable constellation group (AUDCG). To this end, we first derive a fast noncoherent ML detection algorithm for the received sum constellation and a corresponding closed form symbol error probability formula (SEP). Thus, two important concepts: full receiver diversity and geometrical coding gain, are introduced to quantitatively characterize how quickly SEP decays when the number of base station antennas goes to infinity. Then, the design of an optimal AUDCG is formally formulated into an optimization problem that maximizes both the receiver diversity and the geometrical coding gains subject to each user power constraint. Particularly for a two user system, with each user transmitting nonnegative binary constellation, an optimal closed form sum constellation is obtained. Computer simulations demonstrate that our proposed optimal constellation design substantially outperforms the currently available constellation designs for the same uplink massive MIMO system.
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