New Closed-Form Results on Ordered Statistics of Partial Sums of Gamma Random Variables and Its Application to Performance Evaluation in the Presence of Nakagami Fading

Sung Sik Nam, Young Chai Ko, Mohamed Slim Alouini

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Complex wireless transmission systems require multi-dimensional joint statistical techniques for performance evaluation. Here, we first present the exact closed-form results on order statistics of any arbitrary partial sums of gamma random variables with the closed-form results of core functions specialized for independent and identically distributed Nakagami-m fading channels based on a moment generating function-based unified analytical framework. These both exact closed-form results have never been published in the literature. In addition, as a feasible application example in which our new offered derived closed-form results can be applied is presented. In particular, we analyze the outage performance of the finger replacement schemes over Nakagami fading channels as an application of our method. Note that these analysis results are directly applicable to several applications, such as millimeter-wave communication systems in which an antenna diversity scheme operates using a finger replacement schemes-like combining scheme, and other fading scenarios. Note also that the statistical results can provide potential solutions for ordered statistics in any other research topics based on gamma distributions or other advanced wireless communications research topics in the presence of Nakagami fading.

Original languageEnglish
Article number7953495
Pages (from-to)12820-12832
Number of pages13
JournalIEEE Access
Volume5
DOIs
Publication statusPublished - 2017 Jun 17

Keywords

  • Fading channels
  • Nakagami-m fading
  • order statistics
  • outage performance
  • partial sums

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)

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