Paper accepted at GLOBECOM 2022

The paper "A Measure Preserving Mapping for Structured Grassmannian Constellations in SIMO Channels" will be presented at the IEEE Global Communication Conference (GLOBECOM) that will be held in Rio de Janeiro, Brazil, 4-8 Dec. 2022. The paper is authored by Diego Cuevas, J. Alvarez-Vizoso, Carlos Beltran, Ignacio Santamaria, Vit Tucek and Gunnar Peters.

Abstract.- In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The constellation, which we call Grass-Lattice, is based on a measure preserving mapping from the unit hypercube to the Grassmannian of lines. The constellation structure allows for on-the-fly symbol generation, low-complexity decoding, and simple bit-to-symbol Gray coding. Simulation results show that Grass-Lattice has symbol error rate performance close to that of a numerically optimized unstructured constellation, and is more power efficient than other structured constellations proposed in the literature.