Algebraic reduction for space-time codes based on quaternion algebras

dc.creatorLuzzi, Laura
dc.creatorOthman, Ghaya Rekaya-Ben
dc.creatorBelfiore, Jean-Claude
dc.date2008-09-19
dc.date2008-09-30
dc.date.accessioned2026-07-07T10:05:57Z
dc.date.available2026-07-07T10:05:57Z
dc.descriptionIn this paper we introduce a new right preprocessing method for the decoding of 2x2 algebraic STBCs, called algebraic reduction, which exploits the multiplicative structure of the code. The principle of the new reduction is to absorb part of the channel into the code, by approximating the channel matrix with an element of the maximal order of the algebra. We prove that algebraic reduction attains the receive diversity when followed by a simple ZF detection. Simulation results for the Golden Code show that using MMSE-GDFE left preprocessing, algebraic reduction with simple ZF detection has a loss of only $3 \dB$ with respect to ML decoding.
dc.description29 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0809.3365
dc.identifierhttp://arxiv.org/abs/0809.3365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170168
dc.subjectInformation Theory
dc.titleAlgebraic reduction for space-time codes based on quaternion algebras
dc.typetext

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