Real-domain decoder for full-rate full-diversity STBC with multidimensional constellations

Authors:
Heunchul Lee;Jungho Cho;Jong-kyu Kim;Inkyu Lee
Affiliations:
Department of Electrical Engineering, Stanford University, CA and School of Electrical Engineering, Korea University, Seoul, Korea;Agency for Defense Development, Daejeon, Korea;Agency for Defense Development, Daejeon, Korea;School of Electrical Engineering, Korea University, Seoul, Korea
Venue:
IEEE Transactions on Communications
Year:
2009

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Abstract

In this letter, we present a new maximum likelihood (ML) decoding algorithm for space time block codes (STBCs) that employ multidimensional constellations. We start with a lattice representation for STBCs which transforms complex channel models into real matrix equations. Based on the lattice representation, we propose a new decoding algorithm for quasi-orthogonal STBCs (QO-STBC) which allows simpleML decoding with performance identical to the conventional ML decoder. Multidimensional rotated constellations are constructed for the QO-STBCs to achieve full diversity. As a consequence, for quasi-orthogonal designs with an arbitrary number of transmit antennas N (N ≥ 4), the proposed decoding scheme achieves full rate and full diversity while reducing the decoding complexity from O(McN/2) to O(McN/4) in a Mc-QAM constellation.