Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength

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dc.contributor.author Yang, Wei
dc.contributor.author Durisi, Giuseppe
dc.contributor.author Koch, Tobias Mirco
dc.contributor.author Polyanskiy, Yury
dc.date.accessioned 2018-02-01T13:35:25Z
dc.date.available 2018-02-01T13:35:25Z
dc.date.issued 2014-07
dc.identifier.bibliographicCitation IEEE Transactions on Information Theory, 60(7), pp. 4232-4265
dc.identifier.issn 0018-9448
dc.identifier.issn 1557-9654 (online)
dc.identifier.uri http://hdl.handle.net/10016/26182
dc.description.abstract This paper investigates the maximal achievable rate for a given blocklength and error probability over quasi-static multiple-input multiple-output fading channels, with and without channel state information at the transmitter and/or the receiver. The principal finding is that outage capacity, despite being an asymptotic quantity, is a sharp proxy for the finite-blocklength fundamental limits of slow-fading channels. Specifically, the channel dispersion is shown to be zero regardless of whether the fading realizations are available at both transmitter and receiver, at only one of them, or at neither of them. These results follow from analytically tractable converse and achievability bounds. Numerical evaluation of these bounds verifies that zero dispersion may indeed imply fast convergence to the outage capacity as the blocklength increases. In the example of a particular 1 × 2 single-input multiple-output Rician fading channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared with the blocklength required for an AWGN channel with the same capacity. For this specific scenario, the coding/decoding schemes adopted in the LTE-Advanced standard are benchmarked against the finite-blocklength achievability and converse bounds.
dc.description.sponsorship This work was supported in part by the Swedish Research Council under grant 2012-4571, by the Ericsson Research Foundation under grant FOSTIFT- 12:022, by a Marie Curie FP7 Integration Grant within the 7th European Union Framework Programme under Grant 333680, by the Spanish government (TEC2009-14504-C02-01, CSD2008-00010, and TEC2012-38800-C03-01), and by the National Science Foundation under Grant CCF-1253205. The material of this paper was presented in part at the 2013 and 2014 IEEE International Symposium on Information Theory.
dc.format.extent 8
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IEEE
dc.rights © 2014 IEEE
dc.subject.other Channel dispersion
dc.subject.other Finite blocklength regime
dc.subject.other MIMO channel
dc.subject.other Outage probability
dc.subject.other Quasi-static fading channel
dc.title Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength
dc.type article
dc.subject.eciencia Electrónica
dc.subject.eciencia Telecomunicaciones
dc.identifier.doi https://doi.org/10.1109/TIT.2014.2318726
dc.rights.accessRights openAccess
dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/333680
dc.relation.projectID Gobierno de España. TEC2009-14504-C02-01
dc.relation.projectID Gobierno de España. CSD2008-00010
dc.relation.projectID Gobierno de España. TEC2012-38800-C03-01
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 4232
dc.identifier.publicationissue 7
dc.identifier.publicationlastpage 4265
dc.identifier.publicationtitle IEEE Transactions on Information Theory
dc.identifier.publicationvolume 60
dc.identifier.uxxi AR/0000015698
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