Role of Channel Power in Sub-linear Capacity Scaling of MIMO Channels
Role of Channel Power in Sub-linear Capacity Scaling of MIMO Channels
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发表时间：
2004
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通讯作者：
V. Raghavan;A. Sayeed
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作者：
V. Raghavan;A. Sayeed
多天线系统已被证明在丰富的散射条件下提供线性缩放的容量[1] [2]。相关信道条件下的容量缩放问题仍然没有很好地理解。在[3]和[4]中的早期结果分别示出了在Kronecker乘积相关模型和D连接模型下的容量的线性缩放，对应于信道功率与天线数目的二次缩放。在本文中，我们表明，每个天线的信道功率的基本量，管理相关信道的容量缩放。我们证明了均匀功率容量的尺度为O（f（N）），其中f（N）是N的次线性函数，当且仅当信道功率尺度为O（Nf（N））。使用多天线信道的虚拟表示，我们将这种容量缩放结果与天线阵列捕获的路径数量的缩放相关。物理环境中的可解析路径的数量（也是信道矩阵中的独立自由度的数量）缩放为O（Nf（N））以支持O（f（N））容量缩放是必要且充分的。因此，我们的研究结果建立了新的容量缩放制度的物理相关MIMO信道。
Multi-antenna systems have been shown to offer a linear scaling of capacity under rich scattering conditions [1] [2]. The question of capacity scaling under correlated channel conditions is still not well understood. Earlier results in [3] and [4] which showed linear scaling of capacity under a Kronecker product correlation model and a D-connected model respectively, correspond to a quadratic scaling of channel power with the number of antennas. In this paper we show that channel power per antenna is the fundamental quantity that governs capacity scaling in correlated channels. We show that uniform power capacity scales as O(f(N)), where f(N) is a sub-linear function of N , if and only if channel power scales as O(Nf(N)). Using a virtual representation of multi-antenna channels, we relate this capacity scaling result to the scaling of the number of paths captured by the antenna arrays. It is necessary and sufficient that the number of resolvable paths in the physical environment (also the number of independent degrees of freedom in the channel matrix) scale as O(Nf(N)) to support an O(f(N)) scaling of capacity. Thus, our results establish new capacity scaling regimes for physical correlated MIMO channels.