A radar system for recording the environment of a motor vehicle includes at least two transmitter antennas for emitting transmission signals, one or more receiver antennas for receiving transmission signals that have been reflected by objects, and signal processing equipment for processing the received signals. The antennas are arranged so that a phase center of at least one receiver antenna, with regard to a spatial direction R, does not lie outside of phase centers of two transmitter antennas that are offset in this spatial direction. The signals received by this receiver antenna are separated according to the two signal portions respectively originating from these two transmitter antennas.