New results on the sum of Gamma random variates with application to the performance of wireless communication systems over Nakagami-m fading channels


Ansari I. S. , Yilmaz F. , Alouini M., Kucur O.

TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES, cilt.28, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/ett.2912
  • Dergi Adı: TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES

Özet

The probability density function (PDF) and cumulative distribution function of the sum of L-independent but not necessarily identically distributed Gamma variates, applicable to the output statistics of maximal ratio combining receiver operating over Nakagami-m fading channels or in other words to the statistical analysis of the scenario where the sum of squared Nakagami-m distributions is user-of-interest, are presented in closed form in terms of well-known Meijer's G function and easily computable Fox's H function for integer-valued and non-integer-valued m fading parameters. Further analysis, particularly on bit error rate via a PDF-based approach, is also offered in closed form in terms of Meijer's G function and Fox's H function for integer-valued fading parameters and extended Fox's H function (H) for non-integer-valued fading parameters. Our proposed results complement previous known results that are either expressed in terms of infinite sums, nested sums or higher-order derivatives of the fading parameter m. Copyright (c) 2014 John Wiley & Sons, Ltd.