Various strategies and devices for same are disclosed to correct for/mitigate frequency offset (such as due to differing accuracies between an oscillator of a transmitting device and an oscillator of a receiving device) and Doppler shift (such as due to a changing relative position between a receiving device and a transmitting device). These strategies may be employed in a MIMO setting, such as, e.g. a stationary base station and a plurality of terminal devices (e.g. user devices, mobile stations, etc.), in which the transmissions for each terminal device may be associated with a different frequency offset and a different Doppler shift.