论文标题

基于基质 - 单调优化的训练序列和收发器的统一关节优化

A Unified Joint Optimization of Training Sequences and Transceivers Based on Matrix-Monotonic Optimization

论文作者

Xing, Chengwen, Yu, Tao, Song, Jinpeng, Zheng, Zhong, Zhao, Lian, Hanzo, Lajos

论文摘要

通道估计和数据传输构成了多输入多输出(MIMO)通信系统的最基本功能模块。与这些模块相对应的基本关键任务是训练序列优化和收发器优化。因此,我们使用其有效共同信息的指标(MI),有效的平方误差(MSE),有效加权MI,有效加权MSE及其有效的通用Schur-Convex和Schur-Concove-Concove功能,共同优化MIMO系统的线性传输预编码和MIMO系统的训练顺序。统计通道状态信息(CSI)和估计的CSI均在关节优化的发射器上考虑。提出了一个称为关节基质 - 单调优化的统一框架。基于此,可以针对两个CSI场景得出最佳的预编码矩阵和训练矩阵结构。然后,基于最佳基质结构,我们的线性收发器及其训练序列可以共同优化。与最先进的基准算法相比,所提出的算法可视化我们所怀孕的线性收发器的可实现系统性能与他们的训练序列之间的大胆显式关系,从而导致实施准备食谱。最后,提供了几种数值结果,这证实了我们的理论结果,并证明了我们提出的试点辅助MIMO解决方案的引人注目的好处。

Channel estimation and data transmission constitute the most fundamental functional modules of multiple-input multiple-output (MIMO) communication systems. The underlying key tasks corresponding to these modules are training sequence optimization and transceiver optimization. Hence, we jointly optimize the linear transmit precoder and the training sequence of MIMO systems using the metrics of their effective mutual information (MI), effective mean squared error (MSE), effective weighted MI, effective weighted MSE, as well as their effective generic Schur-convex and Schur-concave functions. Both statistical channel state information (CSI) and estimated CSI are considered at the transmitter in the joint optimization. A unified framework termed as joint matrix-monotonic optimization is proposed. Based on this, the optimal precoder matrix and training matrix structures can be derived for both CSI scenarios. Then, based on the optimal matrix structures, our linear transceivers and their training sequences can be jointly optimized. Compared to state-of-the-art benchmark algorithms, the proposed algorithms visualize the bold explicit relationships between the attainable system performance of our linear transceivers conceived and their training sequences, leading to implementation ready recipes. Finally, several numerical results are provided, which corroborate our theoretical results and demonstrate the compelling benefits of our proposed pilot-aided MIMO solutions.

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