On the symmetric α-stable distribution with application to symbol error rate calculations

Handle URI:
http://hdl.handle.net/10754/622577
Title:
On the symmetric α-stable distribution with application to symbol error rate calculations
Authors:
Soury, Hamza ( 0000-0001-7914-2973 ) ; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
The 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Soury 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.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)
Issue Date:
24-Dec-2016
DOI:
10.1109/PIMRC.2016.7794722
Type:
Conference Paper
Additional Links:
http://ieeexplore.ieee.org/document/7794722/
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSoury, Hamzaen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2017-01-02T09:55:31Z-
dc.date.available2017-01-02T09:55:31Z-
dc.date.issued2016-12-24en
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.en
dc.identifier.doi10.1109/PIMRC.2016.7794722en
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.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7794722/en
dc.subjectFox H functionen
dc.subjectProbability density functionen
dc.subjectcumulative density functionen
dc.subjectα-stable distributionen
dc.subjectLévy distributionen
dc.subjectbit error rateen
dc.subjectsymbol error rateen
dc.subjectEGK fadingen
dc.titleOn the symmetric α-stable distribution with application to symbol error rate calculationsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE 27th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)en
kaust.authorSoury, Hamzaen
kaust.authorAlouini, Mohamed-Slimen
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