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Conference Paper: Difficulties in using the exact closed-form PEP formula for BER calculation of S-T codes

TitleDifficulties in using the exact closed-form PEP formula for BER calculation of S-T codes
Authors
KeywordsExact PEP
MIMO
Union bounds on BER
Issue Date2009
PublisherIEEE.
Citation
The 2009 IEEE Radio and Wireless Symposium (RWS) 2009, San Diego, CA., 18-22 January 2009. In Proceedings of RWS, 2009, p. 292-295 How to Cite?
AbstractThe formula for the exact union bound (EUB) on BER based on the exact closed-form Pair-wise Error Probability (PEP) is most accurate for calculating the bit-error-rates (BERs) of Space-Time (S-T) codes in Multiple-Input Multiple Output (MIMO) systems. In this paper, it is shown that using the exact closed-form PEP formula for numerical calculations of the PEP or the EUB on BER could produce negative results. The formula for the exact closed-form PEP is therefore re-examined and explanations for the problem are given. A simple trick is suggested to reduce the effect of the problem. A new upper bound on PEP derived using the Hölder Inequality is proposed to replace the exact closed-form PEP formula. Numerical calculation results show that the union bound based on the proposed new upper bound on PEP is a very tight bound to the EUB and doesn't have the problem of negative results. ©2009 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/126079
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorDai, XGen_HK
dc.contributor.authorZhang, Zen_HK
dc.contributor.authorCheung, SWen_HK
dc.contributor.authorYuk, TIen_HK
dc.date.accessioned2010-10-31T12:08:39Z-
dc.date.available2010-10-31T12:08:39Z-
dc.date.issued2009en_HK
dc.identifier.citationThe 2009 IEEE Radio and Wireless Symposium (RWS) 2009, San Diego, CA., 18-22 January 2009. In Proceedings of RWS, 2009, p. 292-295en_HK
dc.identifier.isbn978-1-4244-2698-0-
dc.identifier.urihttp://hdl.handle.net/10722/126079-
dc.description.abstractThe formula for the exact union bound (EUB) on BER based on the exact closed-form Pair-wise Error Probability (PEP) is most accurate for calculating the bit-error-rates (BERs) of Space-Time (S-T) codes in Multiple-Input Multiple Output (MIMO) systems. In this paper, it is shown that using the exact closed-form PEP formula for numerical calculations of the PEP or the EUB on BER could produce negative results. The formula for the exact closed-form PEP is therefore re-examined and explanations for the problem are given. A simple trick is suggested to reduce the effect of the problem. A new upper bound on PEP derived using the Hölder Inequality is proposed to replace the exact closed-form PEP formula. Numerical calculation results show that the union bound based on the proposed new upper bound on PEP is a very tight bound to the EUB and doesn't have the problem of negative results. ©2009 IEEE.-
dc.languageengen_HK
dc.publisherIEEE.-
dc.relation.ispartofProceedings of the IEEE Radio and Wireless Symposium, RWS 2009en_HK
dc.rightsIEEE Radio and Wireless Symposium. Copyright © IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectExact PEPen_HK
dc.subjectMIMOen_HK
dc.subjectUnion bounds on BERen_HK
dc.titleDifficulties in using the exact closed-form PEP formula for BER calculation of S-T codesen_HK
dc.typeConference_Paperen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=978-1-4244-2698-0&volume=&spage=292&epage=295&date=2009&atitle=Difficulties+in+using+the+exact+closed-form+PEP+formula+for+BER+calculation+of+S-T+codes-
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.naturepublished_or_final_version-
dc.identifier.doi10.1109/RWS.2009.4957336en_HK
dc.identifier.scopuseid_2-s2.0-67650520310en_HK
dc.identifier.hkuros180661en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67650520310&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage292en_HK
dc.identifier.epage295en_HK
dc.description.otherThe 2009 IEEE Radio and Wireless Symposium (RWS) 2009, San Diego, CA., 18-22 January 2009. In Proceedings of RWS, 2009, p. 292-295-
dc.identifier.scopusauthoridDai, XG=23481122600en_HK
dc.identifier.scopusauthoridZhang, Z=14047578600en_HK
dc.identifier.scopusauthoridCheung, SW=7202472784en_HK
dc.identifier.scopusauthoridYuk, TI=6603685705en_HK

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