Method for locating objects using a MIMO FMCW radar, in which - a ramp-shaped, frequency-modulated radar signal is transmitted, the modulation pattern of which has a sequence of time-shifted successive ramps (48, 50, 52), - periodically switching cyclically between at least three switching states in time with the successive ramps, which states differ in the selection of the antenna elements (24, 26, 28, 30) used for transmission and reception, - received radar echoes are downmixed with the transmitted signal into a baseband, - the baseband signals obtained for the different switching states are transformed into spectra, based on which the distances and relative speeds (v) of the radar targets (12, 14) are determined, and - the phases of the baseband signals (b) obtained for different switching states are compared with one another to determine the locating angles (θ) of the radar targets, and - the baseband signals are subjected to a two-dimensional Fourier transform separately for each switching state, in which the transform is performed ramp by ramp in the first dimension and the transform is performed via a ramp index j in the second dimension, which counts the ramps (48, 50, 52) within the sequence, using window functions (58, 60, 62) which preserve the waveforms of the baseband signals except for a shift along the time axis, and - the spectra obtained for different switching states are subjected to a frequency-dependent phase correction which compensates for the time shift of the ramps, - in which the window functions used for the different switching states have the same form but have the same time shift with respect to one another as the associated ramps (48, 50, 52), - in which the successive ramps (48, 50, 52) of the sequence are counted with the current ramp index j, so that - the ramp index j is used as time variable, and - with respect to a fixed reference point in time t=0, the first ramp (j=1) of the cycle has a time shift t 0, the second ramp (j=2) of the cycle has a time shift Δt 2 with respect to the first ramp of the cycle, and the third ramp (j=3) of the cycle has a time shift Δt 3 with respect to the first ramp of the cycle, - in which the time durations Δt 2 and Δt 3 are time durations of different lengths. - a ramp-shaped, frequency-modulated radar signal is transmitted, the modulation pattern of which has a sequence of time-shifted successive ramps (48, 50, 52), - periodically switching cyclically between at least three switching states in time with the successive ramps, which states differ in the selection of the antenna elements (24, 26, 28, 30) used for transmission and reception, - received radar echoes are downmixed with the transmitted signal into a baseband, - the baseband signals obtained for the different switching states are transformed into spectra, based on which the distances and relative speeds (v) of the radar targets (12, 14) are determined, and - the phases of the baseband signals (b) obtained for different switching states are compared with one another to determine the locating angles (θ) of the radar targets, and - the baseband signals are subjected to a two-dimensional Fourier transform separately for each switching state, in which the transform is performed ramp by ramp in the first dimension and the transform is performed via a ramp index j in the second dimension, which counts the ramps (48, 50, 52) within the sequence, using window functions (58, 60, 62) which preserve the waveforms of the baseband signals except for a shift along the time axis, and - the spectra obtained for different switching states are subjected to a frequency-dependent phase correction which compensates for the time shift of the ramps, - in which the window functions used for the different switching states have the same form but have the same time shift with respect to one another as the associated ramps (48, 50, 52), - in which the successive ramps (48, 50, 52) of the sequence are counted with the current ramp index j, so that - the ramp index j is used as time variable, and - with respect to a fixed reference point in time t=0, the first ramp (j=1) of the cycle has a time shift t 0, the second ramp (j=2) of the cycle has a time shift Δt 2 with respect to the first ramp of the cycle, and the third ramp (j=3) of the cycle has a time shift Δt 3 with respect to the first ramp of the cycle, - in which the time durations Δt 2 and Δt 3 are time durations of different lengths.