作者
Erik Agrell, Thomas Eriksson, Alexander Vardy, Kenneth Zeger
发表日期
2002/8/7
来源
IEEE transactions on information theory
卷号
48
期号
8
页码范围
2201-2214
出版商
IEEE
简介
In this semitutorial paper, a comprehensive survey of closest point search methods for lattices without a regular structure is presented. The existing search strategies are described in a unified framework, and differences between them are elucidated. An efficient closest point search algorithm, based on the Schnorr-Euchner (1995) variation of the Pohst (1981) method, is implemented. Given an arbitrary point x /spl isin/ /spl Ropf//sup m/ and a generator matrix for a lattice /spl Lambda/, the algorithm computes the point of /spl Lambda/ that is closest to x. The algorithm is shown to be substantially faster than other known methods, by means of a theoretical comparison with the Kannan (1983, 1987) algorithm and an experimental comparison with the Pohst (1981) algorithm and its variants, such as the Viterbo-Boutros (see ibid. vol.45, p.1639-42, 1999) decoder. Modifications of the algorithm are developed to solve a …
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学术搜索中的文章
E Agrell, T Eriksson, A Vardy, K Zeger - IEEE transactions on information theory, 2002