Abstract | ||
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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 |
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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 Torezzan | 1 | 7 | 3.65 |
Sueli I. R. Costa | 2 | 21 | 8.66 |
Vinay A. Vaishampayan | 3 | 367 | 43.11 |