Analysis of diversity and multiplexing tradeoff for multi-antenna systems with covariance feedback

H. Boche, Eduard Axel Jorswieck
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引用次数: 9

Abstract

We study a single-user multi-antenna system with perfect channel state information (CSI) at the receiver and imperfect CSI at the transmitter. The common downlink transmission model is assumed with one or more uncorrelated receive antennas and correlated transmit antennas. Zheng and Tse (see IEEE Transactions on Information Theory, Jan., 2002) discussed the tradeoff between diversity advantage and multiplexing gain for the asymptotic high SNR regime. At low and mid-range SNR values the connection between the multiplexing gain and diversity is not cleared. We extend our results for the optimal power allocation in MISO and MIMO systems with covariance feedback in order to characterize the multiplexing gain in small and mid-range SNR regions. We give analytical results for the case in which the optimal transmit covariance matrix has rank 1 the equivalent to the multiplexing gain. In addition to this, we discuss the outage capacity and its optimization for the MISO and MIMO case. We provide an asymptotic result for the outage probability which enables us to measure the impact of correlation on the outage probability.
协方差反馈多天线系统分集与复用权衡分析
研究了一种单用户多天线系统,该系统在接收端具有完全信道状态信息,而在发送端具有不完全信道状态信息。假定公共下行传输模型具有一个或多个不相关的接收天线和相关的发射天线。Zheng和Tse(见IEEE Transactions on Information Theory, 2002年1月)讨论了渐近高信噪比下的分集优势和复用增益之间的权衡。在低和中程信噪比值,多路复用增益和分集之间的连接不被清除。我们扩展了MISO和MIMO系统中具有协方差反馈的最优功率分配的结果,以表征中小范围信噪比区域的复用增益。我们给出了最优发射协方差矩阵的秩1与复用增益相等的情况下的分析结果。除此之外,我们还讨论了MISO和MIMO情况下的中断容量及其优化。我们为中断概率提供了一个渐近结果,使我们能够测量相关性对中断概率的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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