Abstract
We will provide statistical analysis of the square ratio ofκ-μandη-μrandom 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 byκ-μfading model, and undesired occurrence of co-channel interference (CCI), distributed asη-μrandom 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 ofκ-μandη-μrandom 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 theMATHEMATICApackageOrthogonalPolynomialscreated 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.
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