Doppler pre-compensated control and data signal(s) generated using first and second Doppler pre-compensation patterns, respectively, are transmitted. A signal indicating the Doppler pre-compensation patterns is transmitted. The Doppler pre-compensated control signals comprise synchronization signals, system information blocks (SIBs), a radio resource control (RRC) message, or a physical downlink control channel (PDCCH), and the Doppler pre-compensated data signals comprise a physical downlink shared channel (PDSCH). The signal indicating the Doppler pre-compensation patterns comprises one of an RRC message or a PDCCH, and may indicate absolute Doppler values or a difference between Doppler values. The PDCCH may indicate a time offset between the PDCCH PDSCH.