Quaternion-Valued Multi-User MIMO Transmission via Dual-Polarized Antennas and QLLL Reduction
Quaternion-Valued Multi-User MIMO Transmission via Dual-Polarized Antennas and QLLL Reduction
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DOI：
10.1109/ict.2018.8464898
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
S. Stern;R. Fischer
中科院分区：
文献类型：
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作者：
S. Stern;R. Fischer
本文研究了双极化天线情况下的四元数值多用户MIMO均衡。针对多用户MIMO上行链路，讨论了收发处理中的四元数运算与垂直极化和水平极化电磁波之间的关系或过渡。提出了一种四元数值系统和信道模型以及相关的信号星座图。线性和格减少辅助线性均衡扩展到手头的问题。为此，提出了著名的LLL格约简算法的四元数值变体，我们称之为QLLL。它的增益在传输性能和计算复杂度比真实的和复值LLL减少进行了讨论。此外，相应的分集阶数进行了推广，以应付四元数值信道模型。理论研究的补充，从数值模拟得到的结果。
In this paper, quaternion-valued multi-user MIMO equalization is studied for the case of dual-polarized antennas. Given the multi-user MIMO uplink scenario, the relationship or transition between quaternion-valued arithmetic in transmit-ter/receiver processing and both vertically- and horizontally-polarized electromagnetic waves is discussed. A quaternion-valued system and channel model as well as related signal constellations are presented. Both linear and lattice-reduction-aided linear equalization are extended to the problem in hand. For that purpose, a quaternion-valued variant of the famous LLL lattice-reduction algorithm is proposed, which we call QLLL. Its gains in transmission performance and computational complexity over real- and complex-valued LLL reduction are discussed. Besides, the respective diversity orders are generalized to cope with the quaternion-valued channel model. The theoretical studies are complemented by results obtained from numerical simulations.