Transmit Beamforming in Rayleigh Product MIMO Channels: Capacity and Performance Analysis
Transmit Beamforming in Rayleigh Product MIMO Channels: Capacity and Performance Analysis
复制标题
DOI：
10.1109/tsp.2008.928964
复制
发表时间：
2008-10
影响因子：
5.4
通讯作者：
Shi Jin;M. Mckay;Kai‐Kit Wong;Xiqi Gao
中科院分区：
文献类型：
--
作者：
Shi Jin;M. Mckay;Kai‐Kit Wong;Xiqi Gao
本文对瑞利积多输入多输出 (MIMO) 信道中的发射波束成形 (BF) 系统进行了分析性能研究。我们首先推导累积分布函数、概率密度函数和独立复高斯矩阵乘积的最大特征值矩的新封闭式表达式，用于提供接收信噪比（SNR）的完整统计特征。然后，我们得出许多关键性能指标，包括中断概率、符号错误率和遍历容量。我们详细研究了瑞利产品 MIMO 信道的三个重要特殊情况：简并锁孔场景以及多输入单输出和单输入多输出场景，为此我们得出了各种精确和渐近度量（例如分集阶数、阵列增益和高 SNR 功率偏移等）的有洞察力的封闭式表达式。我们还比较了传输 BF 与正交空时分组码的性能，并量化了在瑞利积 MIMO 信道中利用发射机信道知识的好处。即使对于低维系统，这也被证明是很重要的。
This paper presents an analytical performance investigation of transmit beamforming (BF) systems in Rayleigh product multiple-input multiple-output (MIMO) channels. We first derive new closed-form expressions for the cumulative distribution function, probability density function, and moments of the maximum eigenvalue of a product of independent complex Gaussian matrices, which are used to provide a complete statistical characterization of the received signal-to-noise ratio (SNR). We then derive a number of key performance metrics, including outage probability, symbol error rate, and ergodic capacity. We examine, in detail, three important special cases of the Rayleigh product MIMO channel: the degenerate keyhole scenario and the multiple-input single-output and single-input multiple-output scenarios, for which we derive insightful closed-form expressions for various exact and asymptotic measures (e.g., diversity order, array gain, and high SNR power offset, among others). We also compare the performance of transmit BF with orthogonal space-time block codes and quantify the benefit of exploiting transmitter channel knowledge in Rayleigh product MIMO channels. This is shown to be significant even for low-dimensional systems.