On the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels

Handle URI:
http://hdl.handle.net/10754/623755
Title:
On the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels
Authors:
Ben Issaid, Chaouki ( 0000-0002-4481-8168 ) ; Rached, Nadhir B.; Kammoun, Abla ( 0000-0002-0195-3159 ) ; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 ) ; Tempone, Raul ( 0000-0003-1967-4446 )
Abstract:
The Gamma-Gamma distribution has recently emerged in a number of applications ranging from modeling scattering and reverbation in sonar and radar systems to modeling atmospheric turbulence in wireless optical channels. In this respect, assessing the outage probability achieved by some diversity techniques over this kind of channels is of major practical importance. In many circumstances, this is intimately related to the difficult question of analyzing the statistics of a sum of Gamma-Gamma random variables. Answering this question is not a simple matter. This is essentially because outage probabilities encountered in practice are often very small, and hence the use of classical Monte Carlo methods is not a reasonable choice. This lies behind the main motivation of the present work. In particular, this paper proposes a new approach to estimate the left tail of the sum of independent and identically distributed Gamma-Gamma variates. More specifically, we propose a mean-shift importance sampling scheme that efficiently evaluates the outage probability of L-branch maximum ratio combining diversity receivers over Gamma-Gamma fading channels. The proposed estimator satisfies the well-known bounded relative error criterion. We show the accuracy and the efficiency of our approach compared to naive Monte Carlo via some selected numerical simulations.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Ben Issaid C, Ben Rached N, Kammoun A, Alouini M-S, Tempone R (2016) On the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels. 2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP). Available: http://dx.doi.org/10.1109/GlobalSIP.2016.7905796.
Publisher:
IEEE
Journal:
2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP)
Conference/Event name:
2016 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2016
Issue Date:
Apr-2017 ; 12-May-2017
DOI:
10.1109/GlobalSIP.2016.7905796
Type:
Conference Paper
Sponsors:
This work was funded by the KAUST office of competitive research funds.
Additional Links:
http://ieeexplore.ieee.org/document/7905796/
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBen Issaid, Chaoukien
dc.contributor.authorRached, Nadhir B.en
dc.contributor.authorKammoun, Ablaen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.contributor.authorTempone, Raulen
dc.date.accessioned2017-05-31T09:58:23Z-
dc.date.available2017-05-31T09:58:23Z-
dc.date.issued2017-04-
dc.date.issued2017-05-12en
dc.identifier.citationBen Issaid C, Ben Rached N, Kammoun A, Alouini M-S, Tempone R (2016) On the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channels. 2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP). Available: http://dx.doi.org/10.1109/GlobalSIP.2016.7905796.en
dc.identifier.doi10.1109/GlobalSIP.2016.7905796en
dc.identifier.urihttp://hdl.handle.net/10754/623755-
dc.description.abstractThe Gamma-Gamma distribution has recently emerged in a number of applications ranging from modeling scattering and reverbation in sonar and radar systems to modeling atmospheric turbulence in wireless optical channels. In this respect, assessing the outage probability achieved by some diversity techniques over this kind of channels is of major practical importance. In many circumstances, this is intimately related to the difficult question of analyzing the statistics of a sum of Gamma-Gamma random variables. Answering this question is not a simple matter. This is essentially because outage probabilities encountered in practice are often very small, and hence the use of classical Monte Carlo methods is not a reasonable choice. This lies behind the main motivation of the present work. In particular, this paper proposes a new approach to estimate the left tail of the sum of independent and identically distributed Gamma-Gamma variates. More specifically, we propose a mean-shift importance sampling scheme that efficiently evaluates the outage probability of L-branch maximum ratio combining diversity receivers over Gamma-Gamma fading channels. The proposed estimator satisfies the well-known bounded relative error criterion. We show the accuracy and the efficiency of our approach compared to naive Monte Carlo via some selected numerical simulations.en
dc.description.sponsorshipThis work was funded by the KAUST office of competitive research funds.en
dc.publisherIEEEen
dc.relation.urlhttp://ieeexplore.ieee.org/document/7905796/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.subjectAtmospheric modelingen
dc.subjectFading channelsen
dc.subjectMonte Carlo methodsen
dc.subjectProbability density functionen
dc.subjectReceiversen
dc.subjectSignal to noise ratioen
dc.subjectWireless communicationen
dc.titleOn the sum of Gamma-Gamma variates with application to the fast outage probability evaluation over fading channelsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP)en
dc.conference.date2016-12-07 to 2016-12-09en
dc.conference.name2016 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2016en
dc.conference.locationWashington, DC, USAen
dc.eprint.versionPost-printen
kaust.authorBen Issaid, Chaoukien
kaust.authorRached, Nadhir B.en
kaust.authorKammoun, Ablaen
kaust.authorAlouini, Mohamed-Slimen
kaust.authorTempone, Raulen
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