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

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 spe...

Full description

Saved in:
Bibliographic Details
Published in:IEEE access 2017-01, Vol.5, p.12820-12832
Main Authors: Sung Sik Nam, Young-Chai Ko, Alouini, Mohamed-Slim
Format: Article
Language:English
Subjects:
Channels
Closed form solutions
Communications systems
Diversity reception
Exact solutions
Fading
Fading channels
Mathematical analysis
Millimeter waves
Nakagami distribution
Nakagami-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m fading
order statistics
outage performance
partial sums
Performance evaluation
Random variables
Rayleigh channels
Signal to noise ratio
Statistics
Sums
Wireless communication
Wireless communications
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2017.2717048