Statistical analysis of the square ratio of two multivariate exponentially correlated α-µ distributions and its application in telecommunications

  • Authors:

  • Gradimir V. Milovanović;Mihajlo . Stefanović;Stefan R. Panić;Jelena A. Anastasov;Dragana S. Krstić

  • Affiliations:

  • Faculty of Computer Sciences, Megatrend University, Bulevar umetnosti 29, 11070 Novi Beograd, Serbia;Department of Telecommunications, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia;Department of Telecommunications, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia;Department of Telecommunications, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia;Department of Telecommunications, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2011

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Abstract

In this paper the exact probability density function of a multivariate @a-@m distributed variables with exponentially correlated random variables is derived. Capitalizing on this the joint probability density function (JPDF) is derived for the square ratios of two multivariate exponentially correlated @a-@m distributed variables. Closed form expressions are determined for the cumulative distribution function (CDF) and probability density function (PDF) of the maximal and minimal square ratio of two multivariate exponentially correlated @a-@m distributions. Using these new formulae, SIR (signal-to-interference) based analysis of selection combining (SC) receiver through standard communication system performance measures can be performed.