Wireless Pers Commun (2013) 71:2181–2195
DOI 10.1007/s11277-012-0930-x
Outage Probability Analysis of Selection
and Switch-and-Stay Combining Diversity Receivers
Over the α-μ Fading Channel with Co-Channel
Interference
Mahmoud H. Ismail · Refaat Mohamed
Published online: 18 November 2012
© Springer Science+Business Media New York 2012
Abstract In this paper, we evaluate the performance of two dual-branch diversity tech-
niques operating over the α -μ fading channel in presence of a dominant co-channel interferer
with a minimum desired signal power constraint. These two diversity schemes are selection
combining and switch-and-stay combining. We derive expressions for the outage probability
in both cases, which are very simple to calculate numerically using the commercially avail-
able mathematical packages. The obtained expressions are valid for integer values of the
parameter μ and, in many special cases, they reduce to either a closed form or to expressions
with finite-limit integrals that can also be easily evaluated. Also, our expressions reduce to
previously published well-known results for the Rayleigh as well as the Weibull fading chan-
nels as special cases. We present a set of numerical results which show the effect of fading
severity of both the desired signal and the interferer on the performance.
Keywords Diversity receivers · α - μ fading · Co-channel interference ·
Selection combining · Switch-and-stay combining
1 Introduction
Dual-branch diversity receivers are probably the most practically realizable diversity schemes
in wireless mobile communications as the continuous downsizing of mobile handsets does
not usually allow for deploying more than two antennas on the handsets. Among the well-
known diversity schemes, selection combining (SC) and switch-and-stay combining (SSC)
are the simplest to implement since the receiver processes the information from a single
branch only, unlike other diversity schemes such as maximal-ratio combining (MRC) or
equal-gain combining (EGC), which process the information from all the diversity branches
simultaneously [1, Ch. 9].
M. H. Ismail (B ) · R. Mohamed
Department of Electronics and Communications Engineering, Faculty of Engineering,
Cairo University, Giza 12613, Egypt
e-mail: mismail@eece.cu.edu.eg
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