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arXiv 1111.6682cs.ITmath.IT
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多跳放大转发MIMO中继系统的通用鲁棒线性收发器设计

A General Robust Linear Transceiver Design for Multi-Hop Amplify-and-Forward MIMO Relaying Systems

Chengwen Xing, Shaodan Ma, Zesong Fei, Yik-Chung Wu, H. Vincent Poor

摘要:

研究了高斯分布信道估计误差下多跳放大转发(AF)多输入多输出(MIMO)中继系统的线性收发机设计问题。常用的收发器设计准则,包括加权均方误差(MSE)最小化,容量最大化,最坏的MSE/MAX-MSE最小化和加权和速率最大化,被认为是统一到一个单一的矩阵变量优化问题。提出了一种通用的鲁棒设计算法来解决统一问题。具体地说,利用优化理论和矩阵变量函数的性质,最佳结构的鲁棒收发机时,无论是从发射机侧看到的信道估计误差的协方差矩阵或从接收机侧看到的相应的协方差矩阵是成比例的单位矩阵。基于最优结构,原来的收发器的设计问题减少到更简单的问题,只有标量变量,其解决方案很容易通过迭代注水算法获得。一些现有的收发器设计算法被发现是所提出的解决方案的特殊情况。本文还详细讨论了我们的工作与现有相关工作之间的差异。仿真结果证明了所提出的鲁棒设计的性能优势。

英文摘要:

In this paper, linear transceiver design for multi-hop amplify-and-forward (AF) multiple-input multiple-out (MIMO) relaying systems with Gaussian distributed channel estimation errors is investigated. Commonly used transceiver design criteria including weighted mean-square-error (MSE) minimization, capacity maximization, worst-MSE/MAX-MSE minimization and weighted sum-rate maximization, are considered and unified into a single matrix-variate optimization problem. A general robust design algorithm is proposed to solve the unified problem. Specifically, by exploiting majorization theory and properties of matrix-variate functions, the optimal structure of the robust transceiver is derived when either the covariance matrix of channel estimation errors seen from the transmitter side or the corresponding covariance matrix seen from the receiver side is proportional to an identity matrix. Based on the optimal structure, the original transceiver design problems are reduced to much simpler problems with only scalar variables whose solutions are readily obtained by iterative water-filling algorithm. A number of existing transceiver design algorithms are found to be special cases of the proposed solution. The differences between our work and the existing related work are also discussed in detail. The performance advantages of the proposed robust designs are demonstrated by simulation results.

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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