Wireless Pers Commun (2012) 65:393–404
DOI 10.1007/s11277-011-0262-2
An Approach to the Triple Branch Selection Diversity
Analysis Over Correlated α-μ Fading Channels
in the Presence of CCI
Bojana Nikoli´ c · Mihajlo Stefanovi´ c · Stefan Pani´ c
Published online: 2 March 2011
© Springer Science+Business Media, LLC. 2011
Abstract In this paper, an approach to derivation of the joint trivariate α-μ probability den-
sity function (pdf) and cumulative distribution function (cdf) expressions will be presented.
Capitalizing on this, closed-form expressions for the cdf and pdf at the output of triple branch
selective combiner (SC) in the presence of correlated co-channel interference (CCI) will be
determined. The main contribution of this paper is generality of our model, since the expres-
sions accommodate arbitrary correlation structures. General results, from this paper, could
be reduced to the specific ones for various fading models and types of correlation. Important
performance measures like outage probability (Pout) and average output signal-to-interfer-
ence ratio (SIR) will also be determined and graphically illustrated for various values of
existing parameters.
Keywords α-μ fading channels · Correlated fading · Correlated co-channel interference ·
Selection combining
1 Introduction
The effects of correlative fading on the desired signal and co-channel interference (CCI) in
wireless communication systems have received a great deal of interest recently [1–5]. During
the last years, there has been a continuing interest in modeling various wireless propagation
channels with fading distributions that provide optimum fits to collected data in indoor and
outdoor mobile radio environments. By considering two important phenomena inherent to
radio propagation, namely non-linearity and clustering, the α-μ fading model was recently
B. Nikoli´ c(B ) · M. Stefanovi´ c · S. Pani´ c
Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, Niš 18000, Serbia
e-mail: bojana.nikolic@elfak.ni.ac.rs
M. Stefanovi´ c
e-mail: mihajlo.stefanovic@elfak.ni.ac.rs
S. Pani´ c
e-mail: stefanpnc@yahoo.com
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