d by the UE based on downlink measurements. PUSCH DM-RSs are precoded in the same way that PUSCH data subcarriers are precoded to allow coherent demodulation, making uplink pre- coding transparent to the gNB receiver. When codebook-based precoding is used in the uplink, the scheduling grant includes information about the precoder in the same way that the UE provides the network with PMI to assist downlink multi-antenna precoding. However, in contrast to the downlink, where the network may or may not use the precoder matrix indicated by the PMI, in the uplink direction, the UE is expected to use the precoder suggested by the network. In case of non-codebook-based transmission, the network can influence the selection of the uplink precoder. Another aspect that may impose constraints on the uplink multi-antenna transmission is to what extent one can assume coherence between different device antennas, that is, to what extent the relative phase between the sig- nals transmitted on two antennas can be controlled. The phase coherence is necessary when antenna port-specific weight factors, including specific phase shifts, are applied to the sig- nals transmitted on the different antenna ports. The NR specifications allow different UE capabilities concerning inter-antenna-port phase coherence, referred to as full coherence, partial coherence, and no coherence. In case of full coherence, it can be assumed that the device can control the relative phase between any of its antenna ports that are used for uplink transmission. In case of partial coherence, the device is capable of pairwise coher- ence, that is, the device can control the relative phase between antenna-port pairs. However, there is no guarantee that coherence can be achieved. In case of no coherence, there is no guarantee of phase coherence between any pair of the device antenna ports [6,9,14]. New Radio Access Physical Layer Aspects (Part 2) 639 In codebook-based uplink shared-channel transmission, the network selects the transmission rank and the corresponding