Embodiments provide approaches for sub-sampling a two-component precoder codebook to reduce the overhead associated with signaling the codebook in periodic Channel State Information (CSI) reports from a user equipment (UE) to a base station. In one embodiment, a first component of the codebook is sub-sampled to accommodate a payload capacity of a Physical Uplink Control Channel (PUCCH) CSI Report of Type 1. In another embodiment, both the first component and the second component of the codebook are sub-sampled to accommodate a maximum payload capacity associated with a PUCCH CSI report.