@conference{10902/31752, year = {2023}, url = {https://hdl.handle.net/10902/31752}, abstract = {We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with N antennas through a Rayleigh block-fading channel, when no channel state information (CSI) is available to either the transmitter or the receiver. In full-diversity scenarios where the coherence time is at least T ≥ (K + 1)M, the proposed constellation design criterion is based on the asymptotic expression of the multiuser pairwise error probability (PEP) derived by Brehler and Varanasi in [1]. Although this PEP expression was previously considered intractable for optimization, in this work we derive a closed-form formula for its unconstrained gradient and perform Riemannian optimization in the Grassmannian manifold to design multiuser constellations for the MIMO MAC with state-of-the-art performance in terms of symbol error rate (SER).}, 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. Santamaría 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 International Conference on Acoustics, Speech and Signal Processing (ICASSP), Rhodes Island, Greece, 2023, 10811-10815}, title = {Noncoherent multiuser Grassmannian constellations for the MIMO multiple access channel}, author = {Álvarez Vizoso, Javier and Cuevas Fernández, Diego and Beltrán Álvarez, Carlos and Santamaría Caballero, Luis Ignacio and Tucek, Vít and Peters, Gunnar}, }