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dc.contributor.authorComo, Giacomo
dc.contributor.authorFagnani, Fabio
dc.date.accessioned2010-03-03T14:26:40Z
dc.date.available2010-03-03T14:26:40Z
dc.date.issued2009-04
dc.date.submitted2008-06
dc.identifier.issn0018-9448
dc.identifier.urihttp://hdl.handle.net/1721.1/51996
dc.description.abstractThe capacity of finite Abelian group codes over symmetric memoryless channels is determined. For certain important examples, such as m -PSK constellations over additive white Gaussian noise (AWGN) channels, with m a prime power, it is shown that this capacity coincides with the Shannon capacity; i.e., there is no loss in capacity using group codes. (This had previously been known for binary-linear codes used over binary-input output-symmetric memoryless channels.) On the other hand, a counterexample involving a three-dimensional geometrically uniform constellation is presented in which the use of Abelian group codes leads to a loss in capacity. The error exponent of the average group code is determined, and it is shown to be bounded away from the random-coding error exponent, at low rates, for finite Abelian groups not admitting Galois field structure.en
dc.language.isoen_US
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.relation.isversionofhttp://dx.doi.org/10.1109/TIT.2009.2015992en
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en
dc.sourceIEEEen
dc.titleThe capacity of finite Abelian group codes over symmetric memoryless channelsen
dc.typeArticleen
dc.identifier.citationComo, G., and F. Fagnani. “The Capacity of Finite Abelian Group Codes Over Symmetric Memoryless Channels.” Information Theory, IEEE Transactions on 55.5 (2009): 2037-2054. © 2009 Institute of Electrical and Electronics Engineersen
dc.contributor.departmentMassachusetts Institute of Technology. Laboratory for Information and Decision Systemsen_US
dc.contributor.approverComo, Giacomo
dc.contributor.mitauthorComo, Giacomo
dc.relation.journalIEEE Transactions on Information Theoryen
dc.eprint.versionFinal published versionen
dc.type.urihttp://purl.org/eprint/type/JournalArticleen
eprint.statushttp://purl.org/eprint/status/PeerRevieweden
dspace.orderedauthorsComo, Giacomo; Fagnani, Fabioen
mit.licensePUBLISHER_POLICYen
mit.metadata.statusComplete


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