@article{10902/32919, year = {2024}, month = {3}, url = {https://hdl.handle.net/10902/32919}, 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 onthe-fly symbol generation, low-complexity decoding, and simple bit-to-symbol Gray-like coding. Simulation results show that Grass-Lattice has symbol and bit 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 and a coherent pilot-based scheme.}, 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 Beltran was also partly supported under grant PID2020-113887GB-I00 funded by MCIN/ AEI /10.13039/501100011033. The work of I. Santamaria was also partly supported under grant PID2019- 104958RB-C43 (ADELE) funded by MCIN/ AEI /10.13039/501100011033. A short preliminary version of this paper was presented at the 2022 IEEE Global Communications Conference: Signal Processing for Communications (Globecom 2022 SPC).}, publisher = {Institute of Electrical and Electronics Engineers Inc.}, publisher = {IEEE Transactions on Wireless Communications, 2024, 23(3), 1886 - 1898}, title = {Constellations on the sphere with efficient encoding-decoding for noncoherent communications}, author = {Cuevas Fernández, Diego and Álvarez Vizoso, Javier and Beltrán Álvarez, Carlos and Santamaría Caballero, Luis Ignacio and Tucek, Vit and Peters, Gunnar}, }