Extremes of error exponents

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• dc.contributor.author Guillén i Fábregas, A. (Albert)
• dc.contributor.author Land, Ingmar
• dc.contributor.author Martínez, Alfonso, 1973-
• dc.date.accessioned 2018-12-07T16:45:04Z
• dc.date.available 2018-12-07T16:45:04Z
• dc.date.issued 2013
• dc.description.abstract This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity C and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's E 0 function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.en
• dc.description.sponsorship This work was supported in part by the International Joint Project 2008/R2 of the Royal Society, in part by the Australian Research Council under ARC Discovery Grant DP0986089, and in part by the European Research Council under ERC grant agreement 259663. A. Martinez was supported in part by the Ministry of Economy and Competitiveness (Spain) under Grant RYC-2011-08150 and in part by the European Union’s 7th Framework Programme (PEOPLE-2011-CIG) under Grant 303633.
• dc.format.mimetype application/pdf
• dc.identifier.citation Guillén A, Land I, Martinez A. Extremes of error exponents. IEEE Trans Inf Theory. 2013;59(4):2201-7. DOI: 10.1109/TIT.2012.2233271
• dc.identifier.doi http://dx.doi.org/10.1109/TIT.2012.2233271
• dc.identifier.issn 0018-9448
• dc.identifier.uri http://hdl.handle.net/10230/36018
• dc.language.iso eng
• dc.publisher Institute of Electrical and Electronics Engineers (IEEE)
• dc.relation.ispartof IEEE Transactions on Information Theory. 2013;59(4):2201-7.
• dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/259663
• dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/RYC-2011-08150
• dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/303633
• dc.rights © 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The final published article can be found at http://dx.doi.org/10.1109/TIT.2012.2233271
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Bhattacharyya parameter
• dc.subject.keyword Channel capacity
• dc.subject.keyword Channel dispersion
• dc.subject.keyword Cutoff rate
• dc.subject.keyword Discrete memoryless channels
• dc.subject.keyword Error exponents
• dc.subject.keyword Error probability
• dc.subject.keyword Random coding
• dc.subject.keyword Symmetric channels
• dc.title Extremes of error exponents
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/acceptedVersion