Methods, systems, and devices for wireless communications are described. The described techniques support blind common phase error (CPE) and residual carrier frequency offset mitigation. Generally, the described techniques provide for blind CPE mitigation at a receiving device without a phase tracking reference signal (PTRS) associated with less overhead and improved performance as compared to use of a PTRS to mitigate CPE. A receiving device may receive a shared channel message in a scheduled shared channel allocation in accordance with a PTRS configuration that omits a PTRS allocation based on a capability of the receiving device to apply blind CPE mitigation for shared channel receptions. In some examples, with a single DMRS symbol allocation, blind CPE mitigation for each subsequent data symbol of a shared channel message may be based on the blind CPE estimation for the previous symbol, which may enable robust mitigation of a residual carrier frequency offset.