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arXiv 1406.7623cs.ITmath.IT
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基于统计CSI的MIMO广播信道发送设计

Transmit Designs for the MIMO Broadcast Channel with Statistical CSI

Yongpeng Wu, Shi Jin, Xiqi Gao, Matthew R. McKay, Chengshan Xiao

摘要:

我们研究多输入多输出广播信道与统计信道状态信息可在发射机。采用线性分配操作,并在一般衰落条件下导出了最优发射设计的必要条件。在此基础上,我们引入了一个迭代算法,通过应用梯度下降方法来最大化线性分配加权和率。为了降低复杂度,我们推导出每个接收器的线性分配可达速率的上界,从该上界推导出近似最优线性分配矩阵的简化封闭形式表达式。这揭示了一个类似于脏纸编码的有趣结构。鉴于此,提供了一种低复杂度的传输方案。数值例子说明了所提出的低复杂度计划的显着性能。

英文摘要:

We investigate the multiple-input multiple-output broadcast channel with statistical channel state information available at the transmitter. The so-called linear assignment operation is employed, and necessary conditions are derived for the optimal transmit design under general fading conditions. Based on this, we introduce an iterative algorithm to maximize the linear assignment weighted sum-rate by applying a gradient descent method. To reduce complexity, we derive an upper bound of the linear assignment achievable rate of each receiver, from which a simplified closed-form expression for a near-optimal linear assignment matrix is derived. This reveals an interesting construction analogous to that of dirty-paper coding. In light of this, a low complexity transmission scheme is provided. Numerical examples illustrate the significant performance of the proposed low complexity scheme.

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