@conference{10902/27565, year = {2022}, url = {https://hdl.handle.net/10902/27565}, 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.}, organization = {This work was supported by Huawei Technologies Sweden, under the project GRASSCOM. The work of D. Cuevas was also partly supported under grant FPU20/03563 funded by Ministerio de Universidades (MIU), Spain. The work of Carlos Beltr´an was also partly supported under grant PID2020-113887GB-I00 funded by MCIN/AEI /10.13039/501100011033. The work ofI. Santamaria was also partly supported under grant PID2019-104958RB-C43(ADELE) funded by MCIN/ AEI /10.13039/501100011033.}, publisher = {Institute of Electrical and Electronics Engineers Inc.}, publisher = {IEEE Global Communications Conference (GLOBECOM), Rio de Janeiro, Brazil, 2022, 2394-2399}, title = {A measure preserving mapping for structured Grassmannian constellations in SIMO channels}, author = {Cuevas Fernández, Diego and Álvarez Vizoso, Javier and Beltrán Álvarez, Carlos and Santamaría Caballero, Luis Ignacio and Tucek, Vít and Peters, Gunnar}, }