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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ID: 135652
2018
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Abstract
We will provide statistical analysis of the square ratio of κ-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 κ-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 κ-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.
Reference Key
milovanovi2018mathematicalefficient Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Gradimir V. Milovanović;Suad Suljović;Stefan R. Panić;Ismet Kalčo;Mihajlo Č. Stefanović
Journal journal of power sources
Year 2018
DOI
10.1155/2018/4967613
URL
http://dx.doi.org/10.1155/2018/4967613
Keywords
civil engineering (general)mathematics engineering (general)

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