The nonassociative algebras used to build fast-decodable space-time block codes

Pumpluen, Susanne and Steele, Andrew (2015) The nonassociative algebras used to build fast-decodable space-time block codes. Advances in Mathematics of Communications, 9 (4). pp. 449-469. ISSN 1930-5338

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Abstract

Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D. Two of these families appear either explicitly or implicitly in the designs of fast-decodable space-time block codes in papers by Srinath, Rajan, Markin, Oggier, and the authors. We present conditions for the algebras to be division and propose a construction for fully diverse fast decodable space-time block codes of rate-m for nm transmit and m receive antennas. We present a DMT-optimal

rate-3 code for 6 transmit and 3 receive antennas which is fast-decodable, with ML-decoding complexity at most O(M^15).

Item Type: Article
Additional Information: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Advances in Mathematics of Communications following peer review. The definitive publisher-authenticated version, Pumpluen, Susanne, Steele, Andrew, The nonassociative algebras used to build fast-decodable space-time block codes, 2015, v. 9, no. 4, pp. 449-469 is available online at: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=11938.
Keywords: Space-time block codes, fast-decodable, MIMO code, nonassociative algebra, division algebra
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.3934/amc.2015.9.449
Depositing User: Pumpluen, Susanne
Date Deposited: 21 Jun 2016 08:49
Last Modified: 01 Nov 2016 18:14
URI: http://eprints.nottingham.ac.uk/id/eprint/34232

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