An exact performance analysis of MRC / OSTBC over generalized fading channels

Authors:
George A. Ropokis;Athanasios A. Rontogiannis;P. Takis Mathiopoulos;Kostas Berberidis
Affiliations:
Dept. of Computer Engineering & Informatics, University of Patras, Rio, Greece and Institute for Space Applications and Remote Sensing, National Observatory of Athens, Athens, Greece;Institute for Space Applications and Remote Sensing, National Observatory of Athens, Athens, Greece;Institute for Space Applications and Remote Sensing, National Observatory of Athens, Athens, Greece;Dept. of Computer Engineering & Informatics, University of Patras, Rio, Greece
Venue:
IEEE Transactions on Communications
Year:
2010

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Abstract

A unified analytical framework for evaluating the performance of maximal ratio combining (MRC) and orthogonal space-time block coding (OSTBC) over generalized fading channels is presented. The basic motivation for developing such a framework pertains to analyzing the distribution of a sum of squared random variables (RVs) belonging to different families of fading distributions. Following a novel analytical approach stemming from the definition of a common moment generating function (MGF) model for these families of distributions, the probability density function (PDF) and the cumulative distribution function (CDF) of a general sum of squared RVs are expressed by simple infinite Gamma series expansions. Based on these expressions, the capacity and error probability of MRC/OSTBC over generalized fading channels is thoroughly studied. The developed theory is used to evaluate the performance of OSTBC for a mixed Nakagami-m/Rice fading model and novel analytical results are presented. The accuracy of the derived expressions is validated by extensive Monte Carlo simulations.