Order-Optimal Joint Transmission and Identification in Massive Multi-User MIMO via Group Testing

The number of wireless devices continues to grow, and more antennas per device are being added, increasing the challenge of efficient resource allocation, especially for uplink streams. To address this, we propose a novel massive multipleuser multiple-input-multiple-output (MU-MIMO) scheme based on Group Testing (GT) with non-cooperative self-scheduling users, reducing the required overhead and complexity. Specifically, we show that out of a population of N devices with $\mathcal{M}$ messages each, it is possible for the base station (BS) to jointly identify and decode up to K devices, unknown in advance, simultaneously and without any scheduling or channel state information. The BS efficiently decodes the transmissions with vanishing error probability using only $O(K\log N\mathcal{M})$ antennas, which implies order–optimal sum-rate.