On the capacity of MIMO relay channels
On the capacity of MIMO relay channels
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DOI：
10.1109/tit.2004.839487
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发表时间：
2005
影响因子：
2.5
通讯作者：
Bo Wang;Junshan Zhang;Anders Høst-Madsen
中科院分区：
文献类型：
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作者：
Bo Wang;Junshan Zhang;Anders Høst-Madsen
研究了多输入多输出（MIMO）中继信道的容量。我们首先考虑高斯MIMO中继信道与固定的信道条件，并推导出上界和下界，可以得到数值凸规划。我们提出的算法来计算的界限。接下来，我们将研究推广到瑞利衰落的情况下。我们找到了遍历容量的上界和下界。令人惊讶的是，在一定的规律性条件下（不一定是退化），上限可以满足下限，因此容量可以准确地表征;以前，这已经证明了退化的高斯中继信道。我们调查的充分条件，实现遍历容量，特别是，对于所有节点具有相同数量的天线的情况下，在一定的信噪比（SNR）的条件下，可以实现的容量。数值结果也被提供来说明在瑞利衰落MIMO中继信道的遍历容量的界限。最后，我们提出了一个潜在的应用程序的MIMO中继信道的协作通信在ad hoc网络。
We study the capacity of multiple-input multiple- output (MIMO) relay channels. We first consider the Gaussian MIMO relay channel with fixed channel conditions, and derive upper bounds and lower bounds that can be obtained numerically by convex programming. We present algorithms to compute the bounds. Next, we generalize the study to the Rayleigh fading case. We find an upper bound and a lower bound on the ergodic capacity. It is somewhat surprising that the upper bound can meet the lower bound under certain regularity conditions (not necessarily degradedness), and therefore the capacity can be characterized exactly; previously this has been proven only for the degraded Gaussian relay channel. We investigate sufficient conditions for achieving the ergodic capacity; and in particular, for the case where all nodes have the same number of antennas, the capacity can be achieved under certain signal-to-noise ratio (SNR) conditions. Numerical results are also provided to illustrate the bounds on the ergodic capacity of the MIMO relay channel over Rayleigh fading. Finally, we present a potential application of the MIMO relay channel for cooperative communications in ad hoc networks.