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Asymptotic analysis of large antenna arrays for communications and radar applications.

机译:用于通信和雷达应用的大型天线阵列的渐近分析。

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摘要

In recent years there has been a growing interest in using antenna arrays at both ends of a wireless communication link. Such multiple input multiple output (MIMO) systems are beneficial both in terms of providing greatly improved data rates, as well as in terms of robustness in combating errors compared to systems which use only one antenna. These benefits are obtained without requiring extra transmit power or spectral bandwidth, but come at the cost of additional processing power. In radar, multiple antenna arrays have been in use for several decades. Even so, the idea of measuring the full received electro-magnetic (EM) wave for parameter estimation has been a recent one. In this dissertation, we address two issues through asymptotics: in MIMO systems, we develop insights into finite NAMO array performance by deriving precise results for asymptotically large MIMO arrays, and in radar we derive the gain from measuring the complete field over a spherical surface versus measuring only one polarization component using an equal number of sensors.; First, we consider the distribution of the mutual information of a MIMO system with an uncorrelated Rayleigh fading channel. We show that, as the transmit and receive array sizes tend to infinity while maintaining their ratio constant, the mutual information distribution tends to Gaussian distribution at all signal to noise ratios (SNRs), and give a closed-form expression for its mean and variance. Through simulations, we observe that the mutual information distribution of a finite MIMO system with as few as 4 array elements at either end has a variance which depends only on the ratio of the two arrays and is also closely approximated by the asymptotic distribution variance. We show that the mean of the distribution can also be approximated much closer than previously shown, and hence combined with the asymptotic variance, this yields close approximations for outage capacities.; We next consider the problem of determining the best possible tradeoff between diversity and multiplexing gains in an uncorrelated Rayleigh fading channel. Zheng and Tse have characterized this tradeoff in the large signal to noise ratio (SNR) limit. (Abstract shortened by UMI.)
机译:近年来,在无线通信链路的两端使用天线阵列的兴趣日益浓厚。与仅使用一个天线的系统相比,这样的多输入多输出(MIMO)系统在提供大大提高的数据速率方面以及在抵抗错误的鲁棒性方面都是有益的。无需额外的发射功率或频谱带宽即可获得这些好处,但会以额外的处理能力为代价。在雷达中,几十年来一直使用多个天线阵列。即使这样,测量用于参数估计的全接收电磁波(EM)的想法还是最近的想法。在本文中,我们通过渐近性解决了两个问题:在MIMO系统中,我们通过得出渐近大型MIMO阵列的精确结果来开发有限NAMO阵列性能的见解;在雷达中,我们通过测量球形表面上的完整场与使用相等数量的传感器仅测量一个偏振分量。首先,我们考虑具有不相关瑞利衰落信道的MIMO系统互信息的分布。我们表明,随着发送和接收数组的大小趋于无穷,同时保持其比率不变,互信息分布趋于在所有信噪比(SNR)下呈高斯分布,并给出均值和方差的闭式表达式。通过仿真,我们观察到在任一端只有4个阵列元素的有限MIMO系统的互信息分布具有方差,该方差仅取决于两个阵列的比率,并且也由渐近分布方差近似。我们表明,分布的均值也可以比以前显示的更接近,因此与渐近方差相结合,可以得出停机容量的近似值。接下来,我们考虑在不相关的瑞利衰落信道中确定分集与复用增益之间最佳平衡的问题。 Zheng和Tse在大型信噪比(SNR)限制中权衡了这一权衡。 (摘要由UMI缩短。)

著录项

  • 作者

    Kamath, Ajith M.;

  • 作者单位

    North Carolina State University.;

  • 授予单位 North Carolina State University.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2005
  • 页码 95 p.
  • 总页数 95
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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