The paper considers a cell-free massive MIMO system where user equipments (UEs) can be served in both the downlink (DL) and uplink (UL) within a resource block. The authors propose distributed beamforming designs that jointly optimize the DL precoders and combiners at the access points (APs) and UEs, as well as the UL combiners and precoders at the APs and UEs.
To reduce the iterative bi-directional training (IBT) overhead, the authors carry out the distributed beamforming design by assuming that all the UEs are served solely in the DL. Then, for the DL data transmission, the DL precoders for the UL-only UEs are discarded, and each AP's transmit power is redistributed among the precoders for the DL UEs. For the UL data transmission, the DL combiners at the UL UEs are utilized as UL precoders after proper scaling.
To further reduce the IBT overhead, the authors also consider pairing DL-only UEs with UL-only UEs, where each pair is assigned a common DL multicast precoder during the IBT.
Numerical results demonstrate the superiority of the proposed combined DL-UL distributed beamforming designs over separate DL and UL designs, especially with short resource blocks.
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