A novel approach toward the spectral analysis of stationary random bivariate signals is
proposed. Unlike existing approaches, the proposed framework exhibits a natural link …

A constructive method employing the Hopf fibration formalism in the design of high order
modulations has recently been reported. In this paper, we demonstrate through examples …

In the first part of this thesis, we introduce the concept of polarization of bivariate signals by
comparing several approaches present in the literature. In particular, a complex …

We propose a new framework to spectral analysis of stationary bivariate signals seen as
complex signals. In constrast to existing approaches, we show a natural link between …

In this work we extend analytic signal theory to the multidimensional case when oscillations
are observed in the $ d $ orthogonal directions. First it is shown how to obtain separate …

In this paper is demonstrated that the design and scaling of signal constellations for 4D
modulations can be parameterized using discrete Hopf fibration. Through examples, the …

Coerentes. Rio de Janeiro, 2020. 263p. Tese de Doutorado–Departamento de Engenharia
Elétrica, Pontifícia Universidade Católica do Rio de Janeiro. A comunicação por fibras …

Nous proposons un nouveau formalisme pour l'analyse spectrale des signaux bivariés
décrits sous forme complexe. A la différence des approches existantes, nous démontrons un …