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arXiv 0810.2924cs.ITmath.IT
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相关MIMO通道上LMMSE检测器的BER和中断概率近似

BER and Outage Probability Approximations for LMMSE Detectors on Correlated MIMO Channels

Abla Kammoun, Malika Kharouf, Walid Hachem, Jamal Najim

摘要:

本文研究了线性最小均方误差接收机在接收相关多输入多输出系统中的性能。根据随机矩阵理论,当接收天线和发射天线的数量以相同的速率收敛到+ $\infty$时,该接收机输出端的信噪比(SNR)表现为高斯随机变量。然而,这种近似是不准确的一些性能指标,如比特出错率和中断概率的估计,特别是对于小的系统尺寸,李等人令人信服地提出,假设SNR遵循广义伽马分布,其参数通过计算SNR的前三个渐近矩来调整。在这篇文章中,这种技术被推广到(接收)相关信道,并提供了封闭形式的表达式的SNR的前三个渐近时刻。为了获得这些结果,随机矩阵理论技术适用于高斯元素的矩阵。这种技术被认为是简单、有效的,并且在无线通信中具有广泛的兴趣。仿真结果表明,所提出的技术一般产生良好的精度,即使是小系统尺寸。

英文摘要:

This paper is devoted to the study of the performance of the Linear Minimum Mean-Square Error receiver for (receive) correlated Multiple-Input Multiple-Output systems. By the random matrix theory, it is well-known that the Signal-to-Noise Ratio (SNR) at the output of this receiver behaves asymptotically like a Gaussian random variable as the number of receive and transmit antennas converge to +$\infty$ at the same rate. However, this approximation being inaccurate for the estimation of some performance metrics such as the Bit Error Rate and the outage probability, especially for small system dimensions, Li et al. proposed convincingly to assume that the SNR follows a generalized Gamma distribution which parameters are tuned by computing the first three asymptotic moments of the SNR. In this article, this technique is generalized to (receive) correlated channels, and closed-form expressions for the first three asymptotic moments of the SNR are provided. To obtain these results, a random matrix theory technique adapted to matrices with Gaussian elements is used. This technique is believed to be simple, efficient, and of broad interest in wireless communications. Simulations are provided, and show that the proposed technique yields in general a good accuracy, even for small system dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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