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

Handle URI:
http://hdl.handle.net/10754/625135
Title:
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
Authors:
Nam, Sung Sik; Ko, Young-Chai; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
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 closedform 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 an 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Nam SS, Ko Y-C, Alouini M-S (2017) 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. IEEE Access: 1–1. Available: http://dx.doi.org/10.1109/ACCESS.2017.2717048.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Access
Issue Date:
19-Jun-2017
DOI:
10.1109/ACCESS.2017.2717048
Type:
Article
ISSN:
2169-3536
Sponsors:
This work was supported by Institute for Information & communications Technology Promotion(IITP) grant funded by the Korea government(MSIP) (No. 2014-00552, Next Generation WLAN System with High Efficient Performance).
Additional Links:
http://ieeexplore.ieee.org/document/7953495/
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNam, Sung Siken
dc.contributor.authorKo, Young-Chaien
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-06-22T13:08:36Z-
dc.date.available2017-06-22T13:08:36Z-
dc.date.issued2017-06-19en
dc.identifier.citationNam SS, Ko Y-C, Alouini M-S (2017) 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. IEEE Access: 1–1. Available: http://dx.doi.org/10.1109/ACCESS.2017.2717048.en
dc.identifier.issn2169-3536en
dc.identifier.doi10.1109/ACCESS.2017.2717048en
dc.identifier.urihttp://hdl.handle.net/10754/625135-
dc.description.abstractComplex 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 closedform 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 an 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.en
dc.description.sponsorshipThis work was supported by Institute for Information & communications Technology Promotion(IITP) grant funded by the Korea government(MSIP) (No. 2014-00552, Next Generation WLAN System with High Efficient Performance).en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7953495/en
dc.rights(c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.subjectDiversity receptionen
dc.subjectNakagami distributionen
dc.subjectRandom variablesen
dc.subjectRayleigh channelsen
dc.subjectSignal to noise ratioen
dc.subjectWireless communicationen
dc.titleNew Closed-Form Results on Ordered Statistics of Partial Sums of Gamma Random Variables and its Application to Performance Evaluation in the Presence of Nakagami Fadingen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIEEE Accessen
dc.eprint.versionPost-printen
dc.contributor.institutionKorea University, Korea.en
kaust.authorAlouini, Mohamed-Slimen
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