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Capacity Scaling Laws in Asynchronous Relay Networks

机译:异步中继网络中的容量缩放定律

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This paper examines capacity scaling in asynchronous relay networks, where L single-antenna source-destination terminal pairs communicate concurrently through a common set of K single-antenna relay terminals using one-hop relaying. In the perfectly synchronized case, assuming perfect channel state information (CSI) at the relays, the network capacity is known to scale (asymptotically in K for fixed L) as C = L/2 log(K) + O(1). In the absence of CSI at the relay terminals, it was shown in [1] that a simple amplify-and-forward architecture, asymptotically in K for fixed L, turns the network into a point-to-point multiple-input multiple-output (MIMO) link with high-SNR capacity C = L/2 log(SNR) + O(1). In this paper, we demonstrate that lack of synchronization in the network, under quite general conditions on the synchronization error characteristics, leaves the capacity scaling laws for both scenarios fundamentally unchanged. However, synchronization errors do result in a reduction of the spatial multiplexing gain (pre-log in the capacity expression) and the effective signal-to-noise ratio at the destination terminals. Quantitative results for these losses, as a function of the synchronization error characteristics, are provided.
机译:本文研究了异步中继网络中的容量缩放,其中L个单天线源-目的终端对通过使用单跳中继通过K个单天线中继终端的公共集合同时进行通信。在完全同步的情况下,假设中继器具有完美的信道状态信息(CSI),则已知网络容量按C = L / 2 log(K)+ O(1)缩放(对于固定L,以K渐近表示)。在中继终端上没有CSI的情况下,[1]中显示了一个简单的放大转发架构,对于固定L渐近于K,将网络变成点对点多输入多输出高SNR容量(MIMO)链路C = L / 2 log(SNR)+ O(1)。在本文中,我们证明了在相当普遍的同步误差特性条件下,网络中缺乏同步,这两种情况的容量缩放定律从根本上保持不变。但是,同步错误确实会导致空间复用增益(容量表达式中的对数)和目标终端处的有效信噪比降低。根据同步误差特性提供了这些损耗的定量结果。

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