On the computation of the higher order statistics of the channel capacity for amplify-and-forward multihop transmission
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Physical Sciences and Engineering (PSE) Division
Communication Theory Lab
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AbstractHigher order statistics (HOS) of the channel capacity provide useful information regarding the level of reliability of signal transmission at a particular rate. In this paper, we propose 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 (AF) multihop transmission over generalized fading channels. More precisely, our easy-to-use and tractable mathematical formalism requires only the reciprocal MGFs of the transmission hop signal-to-noise ratio (SNR). Numerical and simulation results, which are performed to exemplify the usefulness of the proposed MGF-based analysis, are shown to be in perfect agreement. © 2013 IEEE.
SponsorsManuscript received August 13, 2012; revised January 15, 2013; accepted April 7, 2013. Date of publication July 10, 2013; date of current version January 13, 2014. This work was supported by grant TK-11-338 from King Abdulaziz City of Science and Technology (KACST). The review of this paper was coordinated by Prof. H.-F. Lu.