Multiuser coding techniques for mismatched decoding
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- dc.contributor.author Scarlett, Jonathan
- dc.contributor.author Martínez, Alfonso, 1973-
- dc.contributor.author Guillén i Fábregas, A. (Albert)
- dc.date.accessioned 2018-11-29T16:23:23Z
- dc.date.available 2018-11-29T16:23:23Z
- dc.date.issued 2016
- dc.description.abstract This paper studies multiuser coding techniques for channel coding with a given (possibly suboptimal) decoding rule. For the mismatched discrete memoryless multiple-access channel, error exponents are obtained which are tight with respect to the ensemble average, and positive within the interior of Lapidoth’s achievable rate region. In the special case of maximum-likelihood decoding, the ensemble tightness of the exponent of Liu-Hughes is proved. Alternative expressions for the error exponents and rate regions are given, including expressions obtained using Lagrange duality which extend immediately to general alphabets. In the setting of single-user mismatched decoding, similar analysis techniques are applied to two types of superposition coding. The standard version is shown to yield an achievable rate which is at least as high as that of Lapidoth’s expurgated parallel coding rate after the optimization of the parameters. A refined version of superposition coding is shown to achieve rates at least as good as the standard version for any set of random-coding parameters, and it is shown that the gap between the two can be significant when the input distribution is fixed.en
- dc.description.sponsorship This work was supported in part by the European Union Seventh Framework Program under Grant 303633, in part by the Spanish Ministry of Economy and Competitiveness under Grant RYC-2011-08150, and Grant TEC2012-38800-C03-03, and in part by the European Research Council under Grant 259663.
- dc.format.mimetype application/pdf
- dc.identifier.citation Scarlett J, Martinez A, Guillén i Fàbregas A. Multiuser coding techniques for mismatched decoding. IEEE Trans Inf Theory. 2016 Jul;62(7):3950-70. DOI: 10.1109/TIT.2016.2555317
- dc.identifier.doi http://dx.doi.org/10.1109/TIT.2016.2555317
- dc.identifier.issn 0018-9448
- dc.identifier.uri http://hdl.handle.net/10230/35899
- dc.language.iso eng
- dc.publisher Institute of Electrical and Electronics Engineers (IEEE)
- dc.relation.ispartof IEEE Information Theory Society. 2016 Jul;62(7):3950-70
- dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/303633
- dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/RYC-2011-08150
- dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/TEC2012-38800-C03-03
- dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/259663
- dc.rights © 2016 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.2016.2555317
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.subject.keyword Mismatched decoding
- dc.subject.keyword Multiple-access channels
- dc.subject.keyword Superposition coding
- dc.subject.keyword Random coding
- dc.subject.keyword Error exponents
- dc.subject.keyword Ensemble tightness
- dc.subject.keyword Duality
- dc.subject.keyword Maximum-likelihood decoding
- dc.title Multiuser coding techniques for mismatched decoding
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/acceptedVersion