Title
Constructive Spherical Codes on Layers of Flat Tori
Abstract
A new class of spherical codes is constructed by selecting a finite subset of flat tori from a foliation of the unit sphere ${\\cal S}^{2L-1}\\subset \\BBR ^{2L}$ 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 $ \\BBR ^{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.
Year
DOI
Venue
2012
10.1109/TIT.2013.2272931
IEEE Transactions on Information Theory
Keywords
DocType
Volume
group codes,decoding
Journal
59
Issue
ISSN
Citations 
10
0018-9448
1
PageRank 
References 
Authors
0.36
10
3
Name
Order
Citations
PageRank
Cristiano Torezzan173.65
Sueli I. R. Costa2218.66
Vinay A. Vaishampayan336743.11