A linear-time nearest point algorithm for the lattice An*

被引:0
|
作者
McKilliam, Robby G. [1 ]
Clarkson, I. Vaughan L. [1 ]
Smith, Warren D. [2 ]
Quinn, Barry G. [2 ]
机构
[1] Univ Queensland, Sch Informat Technol & Elect Engn, Brisbane, Qld 4072, Australia
[2] Macquarie Univ, EFS, Dept Stat, Sydney, NSW 2109, Australia
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The lattice A(n)* is an important lattice because of its covering properties in low dimensions. Two algorithms exist in the literature that compute the nearest point in the lattice A(n)*, in O(n log n) arithmetic operations. In this paper we describe a new algorithm that requires only O(n) operations. The new algorithm makes use of an approximate sorting procedure called a bucket sort. This is the fastest known nearest point algorithm for this lattice.
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页码:1239 / +
页数:3
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