Outage probability in multiple antenna systems
Outage probability in multiple antenna systems
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DOI：
10.1002/ett.1135
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发表时间：
2007-04-01
影响因子：
--
通讯作者：
Boche, Holger
中科院分区：
文献类型：
--
作者：
Jorswieck, Eduard A.;Boche, Holger
多个发射天线提高了无线系统的遍历和中断能力。包括发射天线阵列在内的信道的空间特性影响最佳传输策略以及可实现的容量和平均吞吐量。首先，我们研究了接收器具有完美信道状态信息 (CSI) 的多输入单输出 (MISO) 系统在发送器具有不同类型 CSI 且具有发射天线相关性的情况下的中断概率。我们证明了 Telatar 的开创性论文中给出的猜想，并完成了对发射机处没有 CSI 和不相关天线的最佳发射策略的分析。此外，我们还展示了相关性对中断概率的影响如何取决于传输速率和 SNR。我们表明，中断概率的行为与遍历容量的行为不同。在遍历容量方面，有明确的说明什么是最佳传输策略以及相关性的影响是什么。相反，中断概率则表现得变色龙。如果发射机知道信道相关矩阵，则最佳发射策略是沿着已知相关矩阵的特征向量进行发射。剩下的功率分配问题很困难，因为它是一个非凸优化问题。然而，必要条件是最优分配的特征。最后，我们分析了渐近高和低 SNR 状态下具有空间相关发射和接收天线的通用多输入多输出 (MIMO) 系统的中断概率。通过数值模拟说明了理论结果。版权所有 (c) 2006 AEIT。
Multiple transmit antennas improve the ergodic and outage capacity of wireless systems. Spatial properties of the channel including the transmit antenna array affect the Optimum transmission strategy as well as the achievable capacity and average throughput. First, we study the outage probability of a multiple input single output (MISO) system with perfect channel state information (CSI) at the receiver under different types of CSI at transmitter and with transmit antenna correlation. We prove the conjecture given in Telatar's seminal paper and complete the analysis of the optimum transmit strategy without CSI at the transmitter and uncorrelated antennas. Furthermore, we show how the impact of correlation on the outage probability depends on the transmission rate and SNR. We show that the behaviour of the outage probability differs from the behaviour of the ergodic capacity. In terms of ergodic capacity there are clear instructions what is the optimum transmission strategy and what is the impact of correlation. In contrast, the outage probability behaves chameleonic. If the transmitter is aware of the channel correlation matrices, the optimum transmit strategy is to transmit along the eigenvectors of the known correlation matrix. The remaining power allocation problem is difficult since it is a non-convex optimisation problem. However, necessary conditions characterise the optimal allocation. Finally, we analyse the outage probability for the general multiple input Multiple Output (MIMO) system with spatially correlated transmit and receive antennas in asymptotic high and low SNR regime. The theoretical results are illustrated by numerical simulations. Copyright (c) 2006 AEIT.