A radar system for recording the environment of a motor vehicle, comprising - transmission means for emitting transmission signals using two or more transmitter antennae, - receiving means for receiving transmission signals reflected by objects using one or more receiver antennae, and - signal processing means for processing the received signals, wherein - the system is equipped with transmitter and receiver antennae that are planar and are arranged on a level surface, - said transmitter and receiver antennae each have at least approximately the same emission characteristics, wherein the emission characteristics of said transmitter antennae can be different from the emission characteristics of said receiver antennae, - received signals are acquired from different combinations of said transmitter and receiver antennae, - in the signal processing means, the angular position in a spatial direction R is estimated for objects from said received signals, using the fact that the received signals from an individual object have different phase positions in relation to one another depending on the angular position of said object in the spatial direction R, and - at least two of said transmitter and receiver antennae overlap with regard to the spatial direction R without being identical, characterized in that said overlap is obtained by at least one of the following arrangements or configurations of said transmitter and receiver antennae: a) the antennae are offset in relation to one another with regard to the spatial direction S that runs perpendicular to a horizontal spatial direction R, and the transmitter antennae are arranged above the receiver antennae, b) the transmitter and/or the receiver antenna(e) has or have an oblique form with regard to the spatial direction R, c) the antennae are interleaved with regard to the spatial direction R, d) at least two antennae consist of a multiplicity of elements and the use of emitting or receiving elements is common to at least two transmitter or receiver antennae. - transmission means for emitting transmission signals using two or more transmitter antennae, - receiving means for receiving transmission signals reflected by objects using one or more receiver antennae, and - signal processing means for processing the received signals, wherein - the system is equipped with transmitter and receiver antennae that are planar and are arranged on a level surface, - said transmitter and receiver antennae each have at least approximately the same emission characteristics, wherein the emission characteristics of said transmitter antennae can be different from the emission characteristics of said receiver antennae, - received signals are acquired from different combinations of said transmitter and receiver antennae, - in the signal processing means, the angular position in a spatial direction R is estimated for objects from said received signals, using the fact that the received signals from an individual object have different phase positions in relation to one another depending on the angular position of said object in the spatial direction R, and - at least two of said transmitter and receiver antennae overlap with regard to the spatial direction R without being identical, a) the antennae are offset in relation to one another with regard to the spatial direction S that runs perpendicular to a horizontal spatial direction R, and the transmitter antennae are arranged above the receiver antennae, b) the transmitter and/or the receiver antenna(e) has or have an oblique form with regard to the spatial direction R, c) the antennae are interleaved with regard to the spatial direction R, d) at least two antennae consist of a multiplicity of elements and the use of emitting or receiving elements is common to at least two transmitter or receiver antennae.