Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Constructive Spherical Codes on Layers of Flat Tori

Full text
Author(s):
Torezzan, Cristiano [1] ; Costa, Sueli I. R. [2] ; Vaishampayan, Vinay A. [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 59, n. 10, p. 6655-6663, OCT 2013.
Web of Science Citations: 2
Abstract

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. (AU)