Efficient Numerical Methods for Analysis of Square Ratio of κ-μ And η-μ Random Processes with Their Applications in Telecommunications

Gradimir V. Milovanović, Suad Suljović, Stefan R. Panić, Ismet Kalčo, Mihajlo Stefanović

Результат исследований: Материалы для журналаСтатьярецензирование

3 Цитирования (Scopus)


We will provide statistical analysis of the square ratio of -μ and η-μ 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 -μ fading model, and undesired occurrence of co-channel interference (CCI), distributed as η-μ 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 -μ and η-μ 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,+∞). The computational procedure of such quadrature rules is provided by using the constructive theory of orthogonal polynomials and the Mathematica package OrthogonalPolynomials created by Cvetković and Milovanović (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.

Язык оригиналаАнглийский
Номер статьи4967613
ЖурналMathematical Problems in Engineering
СостояниеОпубликовано - 1 янв 2018
Опубликовано для внешнего пользованияДа

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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