Second-order rate region of constant-composition codes for the multiple-access channel
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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 2018-12-05T14:31:45Z
- dc.date.available 2018-12-05T14:31:45Z
- dc.date.issued 2015
- dc.description.abstract This paper studies the second-order asymptotics of coding rates for the discrete memoryless multiple-access channel (MAC) with a fixed target error probability. Using constant-composition random coding, coded time-sharing, and a variant of Hoeffding's combinatorial central limit theorem, an inner bound on the set of locally achievable second-order coding rates is given for each point on the boundary of the capacity region. It is shown that the inner bound for constant-composition random coding includes that recovered by independent identically distributed random coding, and that the inclusion may be strict. The inner bound is extended to the Gaussian MAC via an increasingly fine quantization of the inputs.en
- dc.description.sponsorship This work was supported in part by the European Research Council under Grant 259663, in part by the European Union’s 7th Framework Programme under Grant 303633, and in part by the Spanish Ministry of Economy and Competitiveness under Grant RYC-2011-08150 and Grant TEC2012-38800-C03-03.
- dc.format.mimetype application/pdf
- dc.identifier.citation Scarlett J, Martinez A, Guillén A. Second-order rate region of constant-composition codes for the multiple-access channel. IEEE Trans Inf Theory. 2015;61(1):157-72. DOI: 10.1109/TIT.2014.2371026
- dc.identifier.doi http://dx.doi.org/10.1109/TIT.2014.2371026
- dc.identifier.issn 0018-9448
- dc.identifier.uri http://hdl.handle.net/10230/36002
- dc.language.iso eng
- dc.publisher Institute of Electrical and Electronics Engineers (IEEE)
- dc.relation.ispartof IEEE Transactions on Information Theory. 2015;61(1):157-72.
- dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/259663
- dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/303633
- dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/RYC2011-08150
- dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/TEC2012-38800-C03-03
- dc.rights © 2015 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.2014.2371026
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.subject.keyword Vectors
- dc.subject.keyword Encoding
- dc.subject.keyword Dispersion
- dc.subject.keyword Covariance matrices
- dc.subject.keyword Joints
- dc.subject.keyword Error probability
- dc.subject.keyword Linear matrix inequalities
- dc.title Second-order rate region of constant-composition codes for the multiple-access channel
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/acceptedVersion