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首页> 外文期刊>Mathematical Problems in Engineering >Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications
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Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications

机译：κ-μ和η-μ随机过程的平方比分析的有效数值方法及其在电信中的应用

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摘要

We will provide statistical analysis of the square ratio of kappa-mu and eta-mu random processes and its application in the signal-to-interference ratio (SIR) based performance analysis of wireless transmission subjected to the influence of multipath fading, modelled by kappa-mu fading model, and undesired occurrence of co-channel interference (CCI), distributed as eta-mu random process. First contribution of the paper is deriving exact closed expressions for the probability density function (PDF) and cumulative distribution function (CDF) of square ratio of kappa-mu and eta-mu random processes. Further, a verification of accuracy of these PDF and CDF expressions was given by comparison with the corresponding approximations obtained by the high-precision quadrature formulas of Gaussian type with respect to the weight functions on (0, + infinity). The computational procedure of such quadrature rules is provided by using the constructive theory of orthogonal polynomials and the MATHEMATICA package OrthogonalPolynomials created by Cvetkovic and Milovanovic (2004). Capitalizing on obtained expression, important wireless performance criteria, namely, outage probability (OP), have been obtained, as functions of transmission parameters. Also, possible performance improvement is observed through a glance at SC (selection combining) reception employment based on obtained expressions.
机译：我们将提供对kappa-mu和eta-mu随机过程的平方比的统计分析，并将其应用于受kappa建模的受多径衰落影响的无线传输基于信号干扰比（SIR）的性能分析中-mu衰落模型以及不希望出现的同信道干扰（CCI），以eta-mu随机过程的形式分布。本文的首要贡献是推导了kappa-mu和eta-mu随机过程的平方比的概率密度函数（PDF）和累积分布函数（CDF）的精确封闭表达式。此外，通过与高斯型高精度正交公式关于（0，+ infinity）上的权函数的相应近似值进行比较，对这些PDF和CDF表达式的准确性进行了验证。通过使用正交多项式的构造理论以及由Cvetkovic和Milovanovic（2004）创建的MATHEMATICA软件包OrthogonalPolynomials，提供了此类正交规则的计算程序。利用获得的表达式，已经获得了重要的无线性能标准，即断电概率（OP），作为传输参数的函数。另外，基于获得的表达式，通过瞥一眼SC（选择组合）接收雇佣，观察到可能的性能改善。

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