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Partial Ordering for Multiple Antenna Fading Channels

机译:多个天线衰落信道的部分排序

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摘要

Partial ordering relations, first developed by Shannon and Csiszar for discrete memoryless channels, can be used for comparing certain information-theoretic properties of channels. In this paper we extend their ideas to multiple antenna channels and introduce three partial ordering relations that enable us to compare multiple antenna channels in different senses, namely, strong sense, weak sense, and capability sense, that give insight into the analytical behavior of mutual information and coding performance of these channels. We provide sufficient conditions for transitivity of all three relations for three classes of channels: additive white Gaussian noise channels, flat-fading channels with full channels state information (CSI) at the receiver, and flat-fading channels with no CSI. These conditions are easily expressed in terms of the channel parameters such as the line-of-sight and scattering components of the channel.
机译:由Shannon和Csiszar首先为离散的无记忆通道开发的偏序关系可用于比较通道的某些信息理论性质。在本文中,我们将其思想扩展到多个天线信道,并介绍了三种局部排序关系,使我们能够比较不同意义上的多个天线信道,即强,弱和能力,从而可以深入了解相互之间的分析行为。这些通道的信息和编码性能。我们为三类信道的所有三种关系的传递性提供了充分的条件:加性高斯白噪声信道,接收机具有全信道状态信息(CSI)的平坦衰落信道以及没有CSI的平坦衰落信道。这些条件很容易用信道参数(例如信道的视线和散射分量)表示。

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