Constructive Methods for the Design and Labeling of Four-Dimensional Modulations
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 that not only the design but also the labeling of these constellations can be parameterized using discrete Hopf fibres. The angular sampling of such discrete Hopf fibres has been found to provide a common geometric variety that can be shared by both the signal and the coding space of these modulations.
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