A method for finding a position of an object using a MIMO FMCW radar. A ramp-shaped frequency-modulated radar signal is transmitted as a sequence of time-delayed successive ramps. A switch network is controlled to provide a corresponding switching state for each of the successive ramps. A different selection of antenna elements is used for transmission of each respective ramp. Radar echoes reflected by radar targets are mixed with the transmitted signal and are down-converted. Baseband signals resulting therefrom are transformed into spectra. Each baseband signal is separately subjected to a two-dimensional Fourier transform. A window function is applied to each of the baseband signals prior to the transform being carried out over a ramp index in a second dimension. A different window function is applied for each of the switching states. The spectra are subjected to a frequency-dependent phase correction which compensates for time offsets of the ramps.