The Diagonal Reduction Algorithm Using Fast Givens

Wen Zhang (), Sanzheng Qiao () and Yimin Wei ()
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Wen Zhang: Qingdao University of Science and Technology, School of Mathematics and Physics
Sanzheng Qiao: McMaster University, Shanghai Key Laboratory of Contemporary Applied Mathematics, Department of Computing and Software
Yimin Wei: Fudan University, Shanghai Key Laboratory of Contemporary Applied Mathematics, School of Mathematical Sciences

A chapter in Computer Mathematics, 2014, pp 453-465 from Springer

Abstract: Abstract Recently, a new lattice basis reduction notion, called diagonal reduction, was proposed for lattice-reduction-aided detection (LRAD) of multiinput multioutput (MIMO) systems. In this paper, we improve the efficiency of the diagonal reduction algorithm by using the fast Givens transformations. The technique of the fast Givens is applicable to a family of LLL-type lattice reduction methods to improve efficiency. Also, in this paper, we investigate dual diagonal reduction and derive an upper bound of the proximity factors for a family of dual reduction aided successive interference cancelation (SIC) decoding. Our upper bound not only extends an existing bound for dual LLL reduction to a family of dual reduction methods, but also improves the existing bound.

Keywords: Lattice reduction; Diagonal reduction; Fast givens; Dual reduction; MIMO detection (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-43799-5_30

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DOI: 10.1007/978-3-662-43799-5_30

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