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DMT Optimality of LR-Aided Linear Decoders for a General Class of Channels, Lattice Designs, and System Models
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-6630-243X
2010 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 56, no 10, 4765-4780 p.Article in journal (Refereed) Published
Abstract [en]

This paper identifies the first general, explicit, and nonrandom MIMO encoder-decoder structures that guarantee optimality with respect to the diversity-multiplexing tradeoff (DMT), without employing a computationally expensive maximum-likelihood (ML) receiver. Specifically, the work establishes the DMT optimality of a class of regularized lattice decoders, and more importantly the DMT optimality of their lattice-reduction (LR)-aided linear counterparts. The results hold for all channel statistics, for all channel dimensions, and most interestingly, irrespective of the particular lattice-code applied. As a special case, it is established that the LLL-based LR-aided linear implementation of the MMSE-GDFE lattice decoder facilitates DMT optimal decoding of any lattice code at a worst-case complexity that grows at most linearly in the data rate. This represents a fundamental reduction in the decoding complexity when compared to ML decoding whose complexity is generally exponential in the rate. The results' generality lends them applicable to a plethora of pertinent communication scenarios such as quasi-static MIMO, MIMO-OFDM, ISI, cooperative-relaying, and MIMO-ARQ channels, in all of which the DMT optimality of the LR-aided linear decoder is guaranteed. The adopted approach yields insight, and motivates further study, into joint transceiver designs with an improved SNR gap to ML decoding.

Place, publisher, year, edition, pages
2010. Vol. 56, no 10, 4765-4780 p.
Keyword [en]
Diversity-multiplexing tradeoff, lattice decoding, lattice reduction, linear decoding, multiple-input multiple-output (MIMO), regularization, space-time coders-decoders
National Category
URN: urn:nbn:se:kth:diva-44459DOI: 10.1109/TIT.2010.2059493ISI: 000283260900001ScopusID: 2-s2.0-77956706410OAI: diva2:450480
QC 20111104Available from: 2011-10-20 Created: 2011-10-20 Last updated: 2011-11-14Bibliographically approved

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