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arXiv 1301.6473cs.ITmath.IT
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任意输入分布线性矢量高斯信道中无线能量收集节点的预编码器设计

On the precoder design of a wireless energy harvesting node in linear vector Gaussian channels with arbitrary input distribution

Maria Gregori, Miquel Payaró

摘要:

本文研究了一种工作在线性矢量高斯信道中的无线能量收集节点(WEHN),该信道具有任意分布的输入符号。在信道状态和收获能量的非因果知识下研究了沿N个独立信道接入最大化互信息的预编码策略(通常称为离线方法)。它示出,在每个信道使用,左奇异向量的预编码器是相等的Gram信道矩阵的特征向量。此外,通过最小均方误差(MMSE)矩阵的能量收集配置文件的预编码器的最佳奇异值的表达式。然后,考虑预编码器的右奇异向量被设置为单位矩阵的具体情况。在这种情况下,最佳的离线功率分配,命名为水星水流,推导出一个直观的图形表示。提出了两种计算水银水流解的最优离线算法,并对它们的计算复杂性进行了详尽的研究。此外,在线算法的设计,它只使用的因果知识的收获的能量和信道状态。最后,通过仿真对所获得的互信息进行了评估。

英文摘要:

A Wireless Energy Harvesting Node (WEHN) operating in linear vector Gaussian channels with arbitrarily distributed input symbols is considered in this paper. The precoding strategy that maximizes the mutual information along N independent channel accesses is studied under non-causal knowledge of the channel state and harvested energy (commonly known as offline approach). It is shown that, at each channel use, the left singular vectors of the precoder are equal to the eigenvectors of the Gram channel matrix. Additionally, an expression that relates the optimal singular values of the precoder with the energy harvesting profile through the Minimum Mean-Square Error (MMSE) matrix is obtained. Then, the specific situation in which the right singular vectors of the precoder are set to the identity matrix is considered. In this scenario, the optimal offline power allocation, named Mercury Water-Flowing, is derived and an intuitive graphical representation is presented. Two optimal offline algorithms to compute the Mercury Water- Flowing solution are proposed and an exhaustive study of their computational complexity is performed. Moreover, an online algorithm is designed, which only uses causal knowledge of the harvested energy and channel state. Finally, the achieved mutual information is evaluated through simulation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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