Coverage Probability and Rate for $\kappa-\mu/\eta-\mu$ Fading Channels in Interference-Limited Scenarios

The κ - μ and η - μ are general fading distributions, which model line-of-sight and non-line-of-sight propagation effects, respectively. In this work, expressions for the coverage probability and average rate when the user experiences κ - μ fading with arbitrary values of κ and μ, and interferers experience η - μ fading with arbitrary values of η and μ are derived for downlink of a cellular network. Both expressions can be expressed in terms of sum of Lauricella's function of the fourth kind. Further, using the properties of the special functions, the average rate expression is simplified for various special cases. Finally, simulation results are provided and these match our analytical results.

[1]  Kostas P. Peppas,et al.  Dual-Hop Relaying Communications with Cochannel Interference Over $\eta$ - /spl mu/ Fading Channels , 2013, IEEE Transactions on Vehicular Technology.

[2]  Sofiène Affes,et al.  Performance analysis of mobile radio systems over composite fading/shadowing channels with co-located interference , 2009, IEEE Transactions on Wireless Communications.

[3]  José F. Paris Outage Probability in η-μ/η-μ and κ-μ/η-μ Interference-Limited Scenarios , 2013, IEEE Transactions on Communications.

[4]  Kostas Peppas,et al.  Sum of Non-Identical Independent Squared η-μ Variates and Applications in the Performance Analysis of DS-CDMA Systems , 2010, IEEE Transactions on Wireless Communications.

[5]  Kostas Peppas,et al.  Error performance of digital modulation schemes with MRC diversity reception over η-μ fading channels , 2009, IEEE Transactions on Wireless Communications.

[6]  Daniel Benevides da Costa,et al.  Average channel capacity for generalized fading scenarios , 2007, IEEE Communications Letters.

[7]  R. M. Karthik,et al.  The Asymptotic Distribution of Maxima of Independent and Identically Distributed Sums of Correlated or Non-Identical Gamma Random Variables and its Applications , 2012, IEEE Transactions on Communications.

[8]  José F. Paris,et al.  Outage Probability Analysis for MRC in η-μ Fading Channels with Co-Channel Interference , 2012, IEEE Communications Letters.

[9]  José F. Paris,et al.  Outage probability analysis for η-μ fading channels , 2010, IEEE Communications Letters.

[10]  Harold Exton,et al.  Multiple hypergeometric functions and applications , 1979 .

[11]  Olav Tirkkonen,et al.  Outage Probability Analysis in Generalized Fading Channels with Co-Channel Interference and Background Noise: η-μ/η-μ, η-μ/κ-μ, and κ-μ/η-μ Scenarios , 2014, IEEE Transactions on Wireless Communications.

[12]  Q. T. Zhang,et al.  Outage probability of cellular mobile radio in the presence of multiple Nakagami interferers with arbitrary fading parameters , 1995 .

[13]  Kostas Peppas,et al.  Capacity of η-μ fading channels under different adaptive transmission techniques , 2010, IET Commun..

[14]  José F. Paris,et al.  A Note on the Sum of Correlated Gamma Random Variables , 2011, ArXiv.

[15]  Kostas Peppas,et al.  Sum of Nonidentical Squared $\kappa {-} \mu$ Variates and Applications in the Performance Analysis of Diversity Receivers , 2012, IEEE Transactions on Vehicular Technology.

[16]  M.D. Yacoub,et al.  The κ-μ distribution and the η-μ distribution , 2007, IEEE Antennas and Propagation Magazine.

[17]  P. W. Karlsson,et al.  Multiple Gaussian hypergeometric series , 1985 .

[18]  Olav Tirkkonen,et al.  Bivariate η-μ Fading Distribution with Application to Analysis of Diversity Systems , 2011, IEEE Transactions on Wireless Communications.

[19]  Natalia Y. Ermolova Moment Generating Functions of the Generalized η-μ and k-μ Distributions and Their Applications to Performance Evaluations of Communication Systems , 2008, IEEE Communications Letters.

[20]  Michail Matthaiou,et al.  Performance Analysis of Digital Communication Systems Over Composite η-μ/Gamma Fading Channels , 2012, IEEE Trans. Veh. Technol..

[21]  Suman Kumar,et al.  Analysis of Outage Probability and Capacity for κ-μ/η-μ Faded Channel , 2015, IEEE Commun. Lett..

[22]  Arak M. Mathai,et al.  Special Functions for Applied Scientists , 2008 .

[23]  Valentine A. Aalo,et al.  Another look at the performance of MRC schemes in Nakagami-m fading channels with arbitrary parameters , 2005, IEEE Transactions on Communications.