LR-aided MMSE lattice decoding is DMT optimal for all approximately universal codes

Authors:
Joakim Jaldén;Petros Elia
Affiliations:
Institute of Communications and Radio-Frequency Engineering, Vienna University of Technology, Vienna, Austria;Departement of Mobile Communications, EURECOM, Sophia Antipolis, France
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Year:
2009

Citing 8
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Abstract

Currently for the nT × nR MIMO channel, any explicitly constructed space-time (ST) designs that achieve optimality with respect to the diversity multiplexing tradeoff (DMT) are known to do so only when decoded using maximum likelihood (ML) decoding, which may incur prohibitive decoding complexity. In this paper we prove that MMSE regularized lattice decoding, as well as the computationally efficient lattice reduction (LR) aided MMSE decoder, allows for efficient and DMT optimal decoding of any approximately universal lattice-based code. The result identifies for the first time an explicitly constructed encoder and a computationally efficient decoder that achieve DMT optimality for all multiplexing gains and all channel dimensions. The results hold irrespective of the fading statistics.