Extremes of error exponents

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dc.contributor.author	Guillén i Fàbregas, Albert
dc.contributor.author	Land, Ingmar
dc.contributor.author	Martinez, Alfonso
dc.date	2013
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.citation	0018-9448
dc.identifier.citation	http://dx.doi.org/10.1109/TIT.2012.2233271
dc.identifier.uri	http://hdl.handle.net/10230/36018
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Institute of Electrical and Electronics Engineers (IEEE)
dc.relation	IEEE Transactions on Information Theory. 2013;59(4):2201-7.
dc.relation	eu-repo/grantAgreement/EC/FP7/259663
dc.relation	eu-repo/grantAgreement/ES/3PN/RYC-2011-08150
dc.relation	eu-repo/grantAgreement/EC/FP7/303633
dc.rights	info:eu-repo/semantics/openAccess
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.subject	Bhattacharyya parameter
dc.subject	Channel capacity
dc.subject	Channel dispersion
dc.subject	Cutoff rate
dc.subject	Discrete memoryless channels
dc.subject	Error exponents
dc.subject	Error probability
dc.subject	Random coding
dc.subject	Symmetric channels
dc.title	Extremes of error exponents
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/acceptedVersion
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.
dc.description.abstract	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.

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