MIMO信道中从多钥孔到相关性和功率不平衡的度量：中断容量分析
From Multi-Keyholes to Measure of Correlation and Power Imbalance in MIMO Channels: Outage Capacity Analysis
摘要：
多锁孔通道，其中包括一些统计独立的锁孔可能不同的相关矩阵的信息理论分析，给出。当锁孔数目或/和Tx/Rx天线数目较大时，存在等效瑞利衰落信道，使得两个信道的中断容量渐近相等。在大量的天线和广泛的一类衰落分布的情况下，瞬时容量被证明是渐近高斯分布，紧凑，封闭形式的平均值和方差的表达式。受渐近分析的启发，本文提出了一种简单的全序标量测度，用于度量MIMO信道中空间相关性和功率不平衡性，以简单易行的方式量化了这两个因素对中断容量的负面影响。它不需要特征值分解，具有全序性。大小渐近的结果被用来证明Telatar的猜想半相关多锁孔和瑞利信道。由于锁孔信道模型在某些情况下很好地近似了放大转发模式下的中继信道，因此这些结果也适用于后者
英文摘要：
An information-theoretic analysis of a multi-keyhole channel, which includes a number of statistically independent keyholes with possibly different correlation matrices, is given. When the number of keyholes or/and the number of Tx/Rx antennas is large, there is an equivalent Rayleigh-fading channel such that the outage capacities of both channels are asymptotically equal. In the case of a large number of antennas and for a broad class of fading distributions, the instantaneous capacity is shown to be asymptotically Gaussian in distribution, and compact, closed-form expressions for the mean and variance are given. Motivated by the asymptotic analysis, a simple, full-ordering scalar measure of spatial correlation and power imbalance in MIMO channels is introduced, which quantifies the negative impact of these two factors on the outage capacity in a simple and well-tractable way. It does not require the eigenvalue decomposition, and has the full-ordering property. The size-asymptotic results are used to prove Telatar's conjecture for semi-correlated multi-keyhole and Rayleigh channels. Since the keyhole channel model approximates well the relay channel in the amplify-and-forward mode in certain scenarios, these results also apply to the latter
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