A method for a MIMO radar system includes encoding signals that are transmitted from different transmitting antennas according to code blocks; determining for a radar object a Doppler estimation that has a periodic ambiguity; and resolving the periodic ambiguity, where the resolving includes, for each of multiple ambiguity hypotheses of the Doppler shift: compensating for the Doppler shift according to the respective ambiguity hypothesis, and decoding for separating signal components associated with the transmitting antennas. An ambiguity hypothesis that is applicable to the radar object is selected based on quality criteria for the decoding for the particular ambiguity hypotheses, and an unambiguous speed estimation of the radar object is determined corresponding to the Doppler estimation and the selected ambiguity hypothesis. The quality of an angle estimation based on the signal components can be determined as a quality criterion for the decoding.