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Title: Fast-decodable asymmetric space-time codes from division algebras
Authors: Vehkalahti, Roope
Hollanti, Camilla
Oggier, Frederique
Issue Date: 2011
Source: Vehkalahti, R., Hollanti, C., & Oggier, F. (2012). Fast-Decodable Asymmetric Space-Time Codes From Division Algebras. IEEE Transactions on Information Theory, 58(4), 2362-2385.
Series/Report no.: IEEE transactions on information theory
Abstract: Multiple-input double-output (MIDO) codes are important in the near-future wireless communications, where the portable end-user device is physically small and will typically contain at most two receive antennas. Especially tempting is the 4×2 channel due to its immediate applicability in the digital video broadcasting (DVB). Such channels optimally employ rate-two space-time (ST) codes consisting of (4×4) matrices. Unfortunately, such codes are in general very complex to decode, hence setting forth a call for constructions with reduced complexity. Recently, some reduced complexity constructions have been proposed, but they have mainly been based on different ad hoc methods and have resulted in isolated examples rather than in a more general class of codes. In this paper, it will be shown that a family of division algebra based MIDO codes will always result in at least 37.5% worst-case complexity reduction, while maintaining full diversity and, for the first time, the nonvanishing determinant (NVD) property. The reduction follows from the fact that, similarly to the Alamouti code, the codes will be subsets of matrix rings of the Hamiltonian quaternions, hence allowing simplified decoding. At the moment, such reductions are among the best known for rate-two MIDO codes [5], [6]. Several explicit constructions are presented and shown to have excellent performance through computer simulations.simulations.
ISSN: 0018-9448
DOI: 10.1109/TIT.2011.2176310
Rights: © 2011 IEEE.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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