NDLI: A unified view of sorting in lattice reduction: From V-BLAST to LLL and beyond

Content Provider	IEEE Xplore Digital Library
Author	Cong Ling Wai Ho Mow
Copyright Year	2009
Description	Author affiliation: Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China (Wai Ho Mow) \|\| Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom (Cong Ling)
Abstract	In this paper, we present a unified view of the role of sorting in lattice reduction. In particular, we show that V-BLAST sorting is a relative of the LLL algorithm. More precisely, we discover that if a lattice basis is sorted in the sense closely related to V-BLAST and is size-reduced, then it is reduced in the sense of LLL with deep insertion (LLL-deep). This discovery leads to two useful consequences. One consequence is a parallel version of LLL-deep that iteratively applying sorting and size reduction; we show that a hybrid strategy applying parallel LLL-deep at the early stage can improve the speed of LLL-deep. The other is a fixed-complexity algorithm of LLL, which consists of a few iterations of sorting and size reduction. This fixed-complexity structure is much desirable in hardware implementation that circumvents the variable complexity of standard LLL, and its throughput is only limited by that of V-BLAST when implemented in a pipeline structure.
Starting Page	529
Ending Page	533
File Size	173292
Page Count	5
File Format	PDF
ISBN	9781424449828
DOI	10.1109/ITW.2009.5351253
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-10-11
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Conferences Pipelines Lattices Educational institutions Throughput Iterative algorithms Hardware Matrix decomposition Sorting Information theory
Content Type	Text
Resource Type	Article

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