Spherical codes, quaternion algebras and discrete Hopf fibration for the study of four-dimension modulations

• Grant number: 20/03613-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2020
• End date: May 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Cintya Wink de Oliveira Benedito
• Grantee: Danyel Morais Doval
• Host Institution: Universidade Estadual Paulista (UNESP). Campus Experimental São João da Boa Vista. São João da Boa Vista , SP, Brazil

Abstract

In this project, we propose the study of modulations in four dimensions (4D) using concepts of spherical codes, quaternion algebra and discrete Hopf fibrations. Such tools have been shown to be efficient for the construction and labeling of these modulations in the context of coherent optical communications systems.