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dc.contributor.authorRached, Nadhir Ben
dc.contributor.authorKammoun, Abla
dc.contributor.authorAlouini, Mohamed-Slim
dc.contributor.authorTempone, Raul
dc.date.accessioned2019-12-18T13:51:37Z
dc.date.available2019-12-18T13:51:37Z
dc.date.issued2019-03-13
dc.identifier.urihttp://hdl.handle.net/10754/660684
dc.description.abstractIn this work, we evaluate the outage probability (OP) for L-branch equal gain combining (EGC) diversity receivers operating over fading channels, i.e. equivalently the cumulative distribution function (CDF) of the sum of the L channel envelopes. In general, closed form expressions of OP values are unobtainable. The use of Monte Carlo (MC) simulations is not considered a good alternative as it requires a large number of samples for small values of OP, making MC simulations very expensive. In this paper, we use the concept of importance sampling (IS), being known to yield accurate estimates using fewer simulation runs. Our proposed IS scheme is essentially based on sample rejection where the IS probability density function (PDF) is the truncation of the underlying PDF over the L dimensional sphere. It assumes the knowledge of the CDF of the sum of the L channel gains in a closed-form expression. Such an assumption is not restrictive since it holds for various challenging fading models. We apply our approach to the case of independent Rayleigh, correlated Rayleigh, and independent and identically distributed Rice fading models. Next, we extend our approach to the interesting scenario of generalised selection combining receivers combined with EGC under the independent Rayleigh fading environment. For each case, we prove the desired bounded relative error property. Finally, we validate these theoretical results through some selected experiments.
dc.description.sponsorshipThis work was supported by the KAUST Office of Sponsored Research (OSR) under Award No. URF/1/2584-01-01 and the Alexander von Humboldt Foundation.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/1903.05481
dc.rightsArchived with thanks to arXiv
dc.titleAn Accurate Sample Rejection Estimator for the Estimation of Outage Probability of EGC Receivers
dc.typePreprint
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.eprint.versionPre-print
dc.contributor.institutionChair of Mathematics for Uncertainty Quantification, Department of Mathematics, RWTH Aachen University, 52062 Aachen, Germany.
dc.contributor.institutionAlexander von Humboldt Professor in Mathematics for Uncertainty Quantification, RWTH Aachen University, 52062 Aachen, Germany
dc.identifier.arxivid1903.05481
kaust.personKammoun, Abla
kaust.personAlouini, Mohamed-Slim
kaust.personTempone, Raul
kaust.grant.numberURF/1/2584-01-01
dc.versionv1
refterms.dateFOA2019-12-18T13:52:13Z
kaust.acknowledged.supportUnitKAUST Office of Sponsored Research (OSR)


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