On the Computation of the Higher-Order Statistics of the Channel Capacity for Amplify-and-Forward Multihop Transmission

2012/06/02 by Ferkan Yilmaz, Hina Tabassum, Yilmaz, Ferkan +3
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR) #Statistics Theory (math.ST) #cs.IT #math.IT #math.PR #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1206.0399

Two Figures, one table, ad submitted to a possible publication

arxiv created 2012/08/20 · arxiv updated 2012/08/21

Abstract

Higher-order statistics (HOS) of the channel capacity provide useful information regarding the level of reliability of the signal transmission at a particular rate. We propose in this letter a novel and unified analysis, which is based on the moment-generating function (MGF) approach, to efficiently and accurately compute the HOS of the channel capacity for amplify-and-forward multihop transmission over generalized fading channels. More precisely, our mathematical formulism is easy-to-use and tractable specifically requiring only the reciprocal MGFs of the instantaneous signal-to-noise ratio distributions of the transmission hops. Numerical and simulation results, performed to exemplify the usefulness of the proposed MGF-based analysis, are shown to be in perfect agreement.

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