On the distribution of the sum of gamma-gamma variates and application in MIMO optical wireless systems

  • Authors:
  • Nestor D. Chatzidiamantis;George K. Karagiannidis;Diomidis S. Michalopoulos

  • Affiliations:
  • Department of Electrical & Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;Department of Electrical & Computer Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece;Department of Electrical & Computer Engineering, The University of British Columbia, Vancouver, Canada

  • Venue:
  • GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
  • Year:
  • 2009

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Abstract

We present a novel approach for the accurate approximation, via closed-form expressions, of the distribution of the sum of independent and not necessarily identically distributed Gamma-Gamma (GG) variates. It is shown that the probability density function (PDF) of the GG sum can be efficiently approximated either by the PDF of a single GG distribution, or by a finite weighted sum of PDFs of GG distributions. Ascertaining on this result, the performance of multiple input multiple output (MIMO) optical wireless (OW) systems is investigated and approximative closed-form expressions for important performance metrics are derived. Numerical results and simulations illustrate the accuracy of the proposed approach.