Systems and methods using control signaling for uplink frequency selective precoding at a user equipment (UE) are disclosed herein. A base station may indicate a transmission rank indicator (TRI), a wideband transmission precoder matrix indicator (TPMI), and one or more subband TPMI(s) to the UE. The base station may indicate, to the UE, whether to use the wideband TPMI or a subband TPMI to precode a physical uplink shared channel (PUSCH) transmission from the UE to the base station. The UE then precodes (and transmits) the PUSCH accordingly. Methods of UE application of the indicated subband TPMI(s) to subbands of the bandwidth in which a PUSCH may be transmitted are described. Methods accounting for a UE capability as to non-coherent, partial-coherent, and/or coherent precoding are described. Methods of assigning TPMI(s) to subbands in view of multiple transmission reception point (TRP) use by the UE for UE transmission are described.