Constructive Spherical Codes on Layers of Flat Tori

被引：5
|
作者：
Torezzan, Cristiano [1 ]
Costa, Sueli I. R. [2 ]
Vaishampayan, Vinay A. [3 ]
机构：
[1] Univ Estadual Campinas, Sch Appl Sci, BR-13484350 Sao Paulo, Brazil
[2] Univ Estadual Campinas, Inst Math, BR-13484350 Sao Paulo, Brazil
[3] AT&T Shannon Lab, Florham Pk, NJ 07932 USA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 10期
基金：
巴西圣保罗研究基金会;
关键词：
Flat torus; Gaussian channel; group codes; lattices; spherical codes; LATTICES;
D O I：
10.1109/TIT.2013.2272931
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new class of spherical codes is constructed by selecting a finite subset of flat tori from a foliation of the unit sphere S2L-1 subset of R-2L and designing a structured codebook on each torus layer. The resulting spherical code can be the image of a lattice restricted to a specific box in R-L in each layer. Group structure and homogeneity, useful for efficient storage and decoding, are inherited from the underlying lattice codebook. A systematic method for constructing such codes are presented as well some examples of constructions. Upper and lower bounds on the performance, the asymptotic packing density and a method for decoding are derived.
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页码：6655 / 6663
页数：9
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