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Modeling alpha-stable interference in the presence of Gaussian noise and its applications to communication systems.

机译：在存在高斯噪声的情况下对α稳定干扰进行建模及其在通信系统中的应用。

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摘要

It is well known that the performance of communication systems is limited by the presence of unwanted energy. These are typically classified based on their sources and characteristics as either noise or interference. Noise is generally modeled as additive white Gaussian noise which is especially attractive from a practical point of view due to the existence of a corresponding closed form probability density function (pdf). However, wireless communication systems are also subject to interference from other users. In a homogeneous Poisson distributed network of users, this interference may be modeled as following a symmetric alpha-stable (SS) distribution. However, this model does not lend itself easily to practical implementations due to a lack of a closed form pdf either in the univariate or bivariate case except in very few special cases. This problem is further accentuated when both forms of the unwanted energy are present. In this dissertation, we propose to approximate the pdf of the combination of these two forms of noise by a simple, parametric closed form expression which lends itself very easily to real time implementations, both for the univariate and the bivariate cases.;We first consider the univariate case. Using the properties of the Gaussian and SS distributions, we propose a parametric form of the combined noise pdf. We show the excellent agreement of the proposed result with the numerically computed exact pdf and also show the application of this model in design of detectors in communication systems. The bit error rate results show that the proposed model is nearly optimal (difference of less than 0.1dB) for a wide range of noise parameters at a fraction of the computational complexity of the numerical approach. We further show that these results may be generalized to the spherically symmetric bivariate case and, as a byproduct, to the corresponding amplitude probability densities.
机译：众所周知，通信系统的性能受到不想要的能量的限制。通常根据它们的来源和特性将它们分类为噪声或干扰。通常将噪声建模为加性高斯白噪声，由于存在相应的闭合形式概率密度函数（pdf），从实际的角度来看，这尤其有吸引力。但是，无线通信系统也受到其他用户的干扰。在用户的同质Poisson分布式网络中，可以按照遵循对称α稳定（SS）分布的方式对这种干扰进行建模。但是，由于在单变量或双变量情况下都缺乏封闭形式的pdf，因此该模型不容易将其自身推广到实际实现中，除了极少数特殊情况外。当两种形式的不想要的能量都存在时，这个问题会进一步加剧。在本文中，我们建议通过简单的，参数化的封闭形式表达式来近似估计这两种形式的噪声的组合的pdf，这对于单变量和双变量情况都非常容易实现实时实现。单变量情况。利用高斯和SS分布的属性，我们提出了组合噪声pdf的参数形式。我们展示了所提出的结果与数值计算的精确pdf的极佳一致性，还展示了该模型在通信系统检测器设计中的应用。误码率结果表明，对于较宽范围的噪声参数，所提出的模型几乎是最优的（差异小于0.1dB），而数值方法的计算复杂度却很小。我们进一步表明，这些结果可以推广到球对称双变量情况，并作为副产品推广到相应的振幅概率密度。

著录项

  • 作者

    Sureka, Gaurav.;

  • 作者单位

    The University of Texas at Dallas.;

  • 授予单位 The University of Texas at Dallas.;
  • 学科 Engineering Electronics and Electrical.;Engineering General.;Applied Mathematics.
  • 学位 Ph.D.
  • 年度 2014
  • 页码 124 p.
  • 总页数 124
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 康复医学;
  • 关键词

  • 入库时间 2022-08-17 11:53:52

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