### Abstract

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.

Original language | English |
---|---|

Article number | 4967613 |

Journal | Mathematical Problems in Engineering |

Volume | 2018 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)

### Cite this

*Mathematical Problems in Engineering*,

*2018*, [4967613]. https://doi.org/10.1155/2018/4967613

**Efficient Numerical Methods for Analysis of Square Ratio of κ-μ And η-μ Random Processes with Their Applications in Telecommunications.** / Milovanović, Gradimir V.; Suljović, Suad; Panić, Stefan R.; Kalčo, Ismet; Stefanović, Mihajlo.

Research output: Contribution to journal › Article

*Mathematical Problems in Engineering*, vol. 2018, 4967613. https://doi.org/10.1155/2018/4967613

}

TY - JOUR

T1 - Efficient Numerical Methods for Analysis of Square Ratio of κ-μ And η-μ Random Processes with Their Applications in Telecommunications

AU - Milovanović, Gradimir V.

AU - Suljović, Suad

AU - Panić, Stefan R.

AU - Kalčo, Ismet

AU - Stefanović, Mihajlo

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85045050653&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045050653&partnerID=8YFLogxK

U2 - 10.1155/2018/4967613

DO - 10.1155/2018/4967613

M3 - Article

AN - SCOPUS:85045050653

VL - 2018

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 4967613

ER -