Unified analysis of switched diversity systems in independent and correlated fading channels

TitleUnified analysis of switched diversity systems in independent and correlated fading channels
Publication TypeJournal Article
Year of Publication2001
AuthorsTellambura, C., A. Annamalai, and V. K. Bhargava
JournalCommunications, IEEE Transactions on
Volume49
Pagination1955 -1965
Date Publishednov.
ISSN0090-6778
Keywordsbit error probability, coherent modulation, correlated fading channels, correlation methods, differentially coherent digital modulation, diversity reception, dual-branch switch, error statistics, fading distribution, independent fading channels, land mobile radio, mobile radio, modulation, moment generating function, Nakagami-m fading, Nakagami-q fading, noncoherent binary modulation, noncoherent digital modulation, nonidentical diversity branches, nonlinear equations, Rayleigh channels, Rayleigh fading, Rician channels, Rician fading, selection diversity combiners, signal power, switched diversity systems, switching threshold, symbol error probability
Abstract

The moment generating function (MGF) of the signal power at the output of dual-branch switch-and-stay selection diversity (SSD) combiners is derived. The first-order derivative of the MGF with respect to the switching threshold is also derived. These expressions are obtained for the general case of correlated fading and nonidentical diversity branches, and hold for any common fading distributions (e.g., Rayleigh, Nakagami-m, Rician, Nakagami-q). The MGF yields the performance (bit or symbol error probability) of a broad class of coherent, differentially coherent and noncoherent digital modulation formats with SSD reception. The optimum switching threshold (in a minimum error rate sense) is obtained by solving a nonlinear equation which is formed by using the first-order derivative of the MGF. This nonlinear equation can be simplified for several special cases. For independent and identically distributed diversity branches, the optimal switching threshold in closed form is derived for three generic forms of the conditional error probability. For correlated Rayleigh or Nakagami-m fading with identical branches, the optimal switching threshold in closed form is derived for the noncoherent binary modulation formats. We show previously published results as special cases of our unified expression. Selected numerical examples are presented and discussed

URLhttp://dx.doi.org/10.1109/26.966072
DOI10.1109/26.966072

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