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Article: An exact close-form PEP and a new PEP for space-time codes in rayleigh fading channels

TitleAn exact close-form PEP and a new PEP for space-time codes in rayleigh fading channels
Authors
KeywordsPair-wise error probability
Rayleigh fading channel
Space-time codes
Issue Date2009
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1068-9605
Citation
International Journal Of Wireless Information Networks, 2009, v. 16 n. 1-2, p. 22-32 How to Cite?
AbstractA close-form expression for the exact Pair-wise Error Probability (PEP) of Space-Time (S-T) codes in Rayleigh fading channel is derived using the general and close-form solution for the probability-density function (PDF) of a sum of independent exponential distributed random variables. The expression requires evaluating the coefficients for partial fraction expansion, so an easy analytical way is proposed for doing this. The exact PEP is subsequently used to develop a simple PEP using the upper bound. Both PEPs are used in the Union bound for error rate evaluation. Numerical calculations and Monte Carlo computer simulation are used to study the accuracies of these Union bounds for error rate evaluation of a rotation-based diagonal S-T code (D code) in Rayleigh fading channels. Four other PEPs based on different bounds, i.e., the Chernoff bound, the asymptotic bound, the tight asymptotic bound, and the Eigen-Geometric-Mean (EGM) bound, are also studied for comparison. Results show that our derived close-form PEP is an exact PEP and our proposed PEP is a very tight bound to the exact PEP. © 2009 Springer Science+Business Media, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/126192
ISSN
2015 SCImago Journal Rankings: 0.229
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, Zen_HK
dc.contributor.authorCheung, SWen_HK
dc.contributor.authorYuk, TIen_HK
dc.date.accessioned2010-10-31T12:14:47Z-
dc.date.available2010-10-31T12:14:47Z-
dc.date.issued2009en_HK
dc.identifier.citationInternational Journal Of Wireless Information Networks, 2009, v. 16 n. 1-2, p. 22-32en_HK
dc.identifier.issn1068-9605en_HK
dc.identifier.urihttp://hdl.handle.net/10722/126192-
dc.description.abstractA close-form expression for the exact Pair-wise Error Probability (PEP) of Space-Time (S-T) codes in Rayleigh fading channel is derived using the general and close-form solution for the probability-density function (PDF) of a sum of independent exponential distributed random variables. The expression requires evaluating the coefficients for partial fraction expansion, so an easy analytical way is proposed for doing this. The exact PEP is subsequently used to develop a simple PEP using the upper bound. Both PEPs are used in the Union bound for error rate evaluation. Numerical calculations and Monte Carlo computer simulation are used to study the accuracies of these Union bounds for error rate evaluation of a rotation-based diagonal S-T code (D code) in Rayleigh fading channels. Four other PEPs based on different bounds, i.e., the Chernoff bound, the asymptotic bound, the tight asymptotic bound, and the Eigen-Geometric-Mean (EGM) bound, are also studied for comparison. Results show that our derived close-form PEP is an exact PEP and our proposed PEP is a very tight bound to the exact PEP. © 2009 Springer Science+Business Media, LLC.-
dc.languageengen_HK
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1068-9605en_HK
dc.relation.ispartofInternational Journal of Wireless Information Networksen_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectPair-wise error probabilityen_HK
dc.subjectRayleigh fading channelen_HK
dc.subjectSpace-time codesen_HK
dc.titleAn exact close-form PEP and a new PEP for space-time codes in rayleigh fading channelsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1068-9605&volume=16&issue=1-2&spage=22&epage=32&date=2009&atitle=An+exact+close-form+PEP+and+a+new+PEP+for+space-time+codes+in+rayleigh+fading+channels-
dc.identifier.emailCheung, SW:swcheung@eee.hku.hken_HK
dc.identifier.emailYuk, TI:tiyuk@eee.hku.hken_HK
dc.identifier.authorityCheung, SW=rp00102en_HK
dc.identifier.authorityYuk, TI=rp00210en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10776-009-0095-z-
dc.identifier.scopuseid_2-s2.0-67649574132en_HK
dc.identifier.hkuros180689en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67649574132&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume16en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage22en_HK
dc.identifier.epage32en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, Z=14047578600en_HK
dc.identifier.scopusauthoridCheung, SW=7202472784en_HK
dc.identifier.scopusauthoridYuk, TI=6603685705en_HK
dc.identifier.citeulike4226124-

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