| Author(s): |
Miyamoto, Henrique K.
;
Earp, Henrique N. Sa
;
Costa, Sueli I. R.
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 5-pg., 2019-01-01. |
| Abstract | |
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) | |
| FAPESP's process: | 16/05126-0 - Construction of spherical codes using the Hopf fibration |
| Grantee: | Henrique Koji Miyamoto |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |