论文标题
Ergodic Mun Rates容量可实现大型MIMO LEO卫星上行链路传输的传输设计
Ergodic Sum Rate Capacity Achieving Transmit Design for Massive MIMO LEO Satellite Uplink Transmission
论文作者
论文摘要
在本文中，我们研究了沿链路链路（UL）发射设计的厄贡总和率（ESR）容量，用于用于大规模多输入多输入（MIMO）低轨道（LEO）卫星卫星通信，并在用户终端（UTS）上具有统计通道状态信息。呈现在卫星和UTS处具有均匀平面阵列配置的UL大型MIMO LEO卫星通道模型。我们证明，每个UT的最佳传输协方差矩阵的等级不超过其在UT侧的通道相关矩阵的等级，这揭示了从每个UT传输到卫星的最大独立数据流数量。然后，我们证明可以将传输协方差矩阵设计转换为较低维矩阵设计而不会损失最佳性。当从每个UT到卫星的单个数据流传输可以达到ESR容量时，我们还获得了必要且充分的条件。开发了一种条件梯度（CG）方法来计算ESR容量，以达到传输协方差矩阵。此外，为避免详尽的样本平均值，我们利用ESR的渐近表达，并设计一种简化的CG方法来计算传输协方差矩阵，该矩阵可以近似ESR的能力。模拟证明了拟议方法的有效性。
In this paper, we investigate the ergodic sum rate (ESR) capacity achieving uplink (UL) transmit design for massive multiple-input multiple-output (MIMO) low-earth-orbit (LEO) satellite communications with statistical channel state information at the user terminals (UTs). The UL massive MIMO LEO satellite channel model with uniform planar array configurations at the satellite and UTs is presented. We prove that the rank of each UT's optimal transmit covariance matrix does not exceed that of its channel correlation matrix at the UT side, which reveals the maximum number of independent data streams transmitted from each UT to the satellite. We then prove that the transmit covariance matrix design can be transformed into the lower-dimensional matrix design without loss of optimality. We also obtain a necessary and sufficient condition when single data stream transmission from each UT to the satellite can achieve the ESR capacity. A conditional gradient (CG) method is developed to compute the ESR capacity achieving transmit covariance matrices. Furthermore, to avoid the exhaustive sample average, we utilize an asymptotic expression of the ESR and devise a simplified CG method to compute the transmit covariance matrices, which can approximate the ESR capacity. Simulations demonstrate the effectiveness of the proposed approaches.
