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Constructive spherical codes in 2(k) dimensions

Autor(es):
Miyamoto, Henrique K. ; Earp, Henrique N. Sa ; Costa, Sueli I. R. ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 5-pg., 2019-01-01.
Resumo

We present a new approach to construct spherical codes in 2(k) dimensions, based on Hopf foliations. Using the fact that a sphere S2n-1 is foliated by manifolds S-cos eta(n-1) x S-sin eta(n-1), eta is an element of [0, pi/2], we distribute points in dimension 2(k) via a recursive algorithm from a basic construction in R-4. Our procedure outperforms some current constructive methods in several small-distance regimes and constitutes a compromise between optimality and computational effort. (AU)

Processo FAPESP: 16/05126-0 - Construção de códigos esféricos usando a fibração de Hopf
Beneficiário:Henrique Koji Miyamoto
Modalidade de apoio: Bolsas no Brasil - Iniciação Científica