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

Heunchul Lee; Jungho Cho; Jong Kyu Kim; Inkyu Lee

doi:10.1109/TCOMM.2009.0901.070056

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

Heunchul Lee, Jungho Cho, Jong Kyu Kim, Inkyu Lee

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 quasiorthogonal 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(M_c^N/2) to O(M_c^N/4) in a M_c-QAM constellation.

Original language	English
Pages (from-to)	17-21
Number of pages	5
Journal	IEEE Transactions on Communications
Volume	57
Issue number	1
DOIs	https://doi.org/10.1109/TCOMM.2009.0901.070056
Publication status	Published - 2009

Keywords

Diversity methods
Maximum likelihood decoding (MLD)
Multidimensional rotated constellations
Space-time block codes (STBC)

ASJC Scopus subject areas

Electrical and Electronic Engineering

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title = "Real-domain decoder for full-rate full-diversity STBC with multidimensional constellations",

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 quasiorthogonal 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.",

keywords = "Diversity methods, Maximum likelihood decoding (MLD), Multidimensional rotated constellations, Space-time block codes (STBC)",

author = "Heunchul Lee and Jungho Cho and Kim, {Jong Kyu} and Inkyu Lee",

note = "Funding Information: This work was supported in part by the Ministry of Knowledge Economy (MKE), Korea, under the Information Technology Research Center (ITRC) support program supervised by the Institute for Information Technology Advancement (IITA) (IITA-2008-C1090-0801-0013) and in part by grant No. R01-2006-000-11112-0 from the Basic Research Program of the Korea Science and Engineering Foundation. This paper was presented in part at the IEEE International Conference on Communications, Istanbul, Turkey, June 2006.",

year = "2009",

doi = "10.1109/TCOMM.2009.0901.070056",

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AU - Lee, Heunchul

AU - Cho, Jungho

AU - Kim, Jong Kyu

AU - Lee, Inkyu

N1 - Funding Information: This work was supported in part by the Ministry of Knowledge Economy (MKE), Korea, under the Information Technology Research Center (ITRC) support program supervised by the Institute for Information Technology Advancement (IITA) (IITA-2008-C1090-0801-0013) and in part by grant No. R01-2006-000-11112-0 from the Basic Research Program of the Korea Science and Engineering Foundation. This paper was presented in part at the IEEE International Conference on Communications, Istanbul, Turkey, June 2006.

PY - 2009

Y1 - 2009

N2 - 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 quasiorthogonal 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.

AB - 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 quasiorthogonal 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.

KW - Diversity methods

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KW - Multidimensional rotated constellations

KW - Space-time block codes (STBC)

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

Abstract

Keywords

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