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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
Joint Authors
Milovanović, Gradimir
Panić, Stefan R.
Stefanovic, Mihajlo
Suljović, Suad
Kalčo, Ismet
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Milovanović, Gradimir& Suljović, Suad& Panić, Stefan R.& Kalčo, Ismet& Stefanovic, Mihajlo. 2018. Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207767
Modern Language Association (MLA)
Milovanović, Gradimir…[et al.]. Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207767
American Medical Association (AMA)
Milovanović, Gradimir& Suljović, Suad& Panić, Stefan R.& Kalčo, Ismet& Stefanovic, Mihajlo. Efficient Numerical Methods for Analysis of Square Ratio of κ-μ and η-μ Random Processes with Their Applications in Telecommunications. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207767
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207767