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Two of the main problems to achieve ultra-reliable low-latency communications(URLLC) are related to instantaneous channel state information (I-CSI)acquisition and the coexistence with other service modes such as enhancedmobile broadband (eMBB). The former comes from the non-negligible time requiredfor accurate I-CSI acquisition, while the latter, from the heterogeneous andconflicting requirements of different nodes sharing the same network resources.In this paper, we leverage the I-CSI of multiple eMBB links and the channelmeasurement's history of a URLLC user for multi-antenna beamforming design.Specifically, we propose a precoding design that minimizes the transmit powerof a base station (BS) providing eMBB and URLLC services withsignal-to-interference-plus-noise ratio (SINR) and outage constraints,respectively, by modifying existing I-CSI-based precoding schemes to accountfor URLLC channel history information. Moreover, we illustrate and validate theproposed method by adopting zero-forcing (ZF) and the transmit powerminimization (TPM) precoding with SINR constraints. We show that the ZFimplementation outperforms TPM in adverse channel conditions as in Rayleighfading, while the situation is rapidly reversed as the channel experiences someline-of-sight (LOS). Finally, we determine the confidence levels at which thetarget outage probabilities are reached. For instance, we show that outageprobabilities below $10^{-3}$ are achievable with more than 99$\%$ confidencefor both precoding schemes under favorable LOS conditions with 16 transmitantennas and 500 samples of URLLC channel history.

Robust Downlink Multi-Antenna Beamforming with Heterogenous CSI: Enabling eMBB and URLLC Coexistence