A radar system for a motor vehicle is describe including a plurality (M) of transmitters for transmitting a radar signal, a receiver for receiving the transmitted radar signal reflected by an object, a signal re-constructor coupled to the receiver. Each transmitter is configured to transmit at least part of a frequency modulated continuous wave signal during a time period T having N sample time periods of duration T/N, and in each of the N sample time periods combinations of at least some of the transmitters transmit. The signal re-constructor is configured to determine the coordinates of an object with respect to the radar system from N measurements of the received frequency modulated continuous wave signal, each of the N measurements being made for a time period of T/N. The radar system may reduce the detection time for objects while maintaining the angular resolution.