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On the Sum of Squared η-μRandom Variates With Application to the Performance of Wireless Communication Systems (1210.0100v1)
Published 29 Sep 2012 in cs.IT, math.IT, math.PR, math.ST, and stat.TH
Abstract: The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared \eta-\mu variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over \eta-\mu fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H-bar function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H-bar function (H-hat). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results.