High-rate, Multi-Symbol-Decodable STBCs from Clifford Algebras

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dc.creatorKarmakar, Sanjay
dc.creatorRajan, B. Sundar
dc.date2007-02-04
dc.date.accessioned2026-07-07T08:17:01Z
dc.date.available2026-07-07T08:17:01Z
dc.descriptionIt 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 $\frac{a+1-g}{2^{a-g}}$. The maximum rate of the DSD STBCs from QODs reported in the literature is $\frac{a}{2^{a-1}}$ which is smaller than the rate $\frac{a-1}{2^{a-2}}$ 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.
dc.description5 pages; Proceedings of Thirteenth National Conference on Communications (NCC 2007),, IIT Kanpur, January 27-29, 2007, pp.368-372
dc.identifierhttps://arxiv.org/abs/cs/0702023
dc.identifierhttp://arxiv.org/abs/cs/0702023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133987
dc.subjectInformation Theory
dc.titleHigh-rate, Multi-Symbol-Decodable STBCs from Clifford Algebras
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