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dc.contributor.authorSoury, Hamza
dc.contributor.authorAlouini, Mohamed-Slim
dc.date.accessioned2017-01-02T09:55:31Z
dc.date.available2017-01-02T09:55:31Z
dc.date.issued2016-12-24
dc.identifier.citationSoury H, Alouini M-S (2016) On the symmetric α-stable distribution with application to symbol error rate calculations. 2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC). Available: http://dx.doi.org/10.1109/PIMRC.2016.7794722.
dc.identifier.doi10.1109/PIMRC.2016.7794722
dc.identifier.urihttp://hdl.handle.net/10754/622577
dc.description.abstractThe probability density function (PDF) of the symmetric α-stable distribution is investigated using the inverse Fourier transform of its characteristic function. For general values of the stable parameter α, it is shown that the PDF and the cumulative distribution function of the symmetric stable distribution can be expressed in terms of the Fox H function as closed-form. As an application, the probability of error of single input single output communication systems using different modulation schemes with an α-stable perturbation is studied. In more details, a generic formula is derived for generalized fading distribution, such as the extended generalized-k distribution. Later, simpler expressions of these error rates are deduced for some selected special cases and compact approximations are derived using asymptotic expansions.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttp://ieeexplore.ieee.org/document/7794722/
dc.subjectFox H function
dc.subjectProbability density function
dc.subjectcumulative density function
dc.subjectα-stable distribution
dc.subjectLévy distribution
dc.subjectbit error rate
dc.subjectsymbol error rate
dc.subjectEGK fading
dc.titleOn the symmetric α-stable distribution with application to symbol error rate calculations
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journal2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)
kaust.personSoury, Hamza
kaust.personAlouini, Mohamed-Slim
dc.date.published-online2016-12-24
dc.date.published-print2016-09


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