High-Rate, Multisymbol-Decodable STBCs From Clifford Algebras

DOI10.1109/TIT.2009.2018172zbMATH Open1367.94430arXivcs/0702023OpenAlexW2098975138MaRDI QIDQ4975889

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Publication date: 8 August 2017

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Abstract: It is well known that Space-Time Block Codes (STBCs) obtained from Orthogonal Designs (ODs) are single-symbol-decodable (SSD) and from Quasi-Orthogonal Designs (QODs) are double-symbol decodable. However, there are SSD codes that are not obtainable from ODs and DSD codes that are not obtainable from QODs. In this paper a method of constructing $g$-symbol decodable ($g$-SD) STBCs using representations of Clifford algebras are presented which when specialized to $g=1,2$ gives SSD and DSD codes respectively. For the number of transmit antennas $2^a$ the rate (in complex symbols per channel use) of the $g$-SD codes presented in this paper is $fraca+1-g{2}^{a-g}$. The maximum rate of the DSD STBCs from QODs reported in the literature is $fraca{2}^{a-1}$ which is smaller than the rate $fraca-12^{a-2}$ of the DSD codes of this paper, for $2^a$ transmit antennas. In particular, the reported DSD codes for 8 and 16 transmit antennas offer rates 1 and 3/4 respectively whereas the known STBCs from QODs offer only 3/4 and 1/2 respectively. The construction of this paper is applicable for any number of transmit antennas.

Full work available at URL: https://arxiv.org/abs/cs/0702023

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