A method of sensing a target in a target detection system having processing circuitry and a multiplexer coupled to the processing circuitry and to a plurality NT of transmit antennas forming a sparse transmit uniform linear array (ULA), the multiplexer being configured to generate multiplexed and phase modulated transmit signals (T1 . . . TNT) based on signals from a local oscillator. The processing circuitry receives signals via a plurality NR of receive antennas forming a dense receive ULA. The method includes transmitting the transmit signals via the transmit antennas as a general radiation pattern corresponding to a block circulant probing signal matrix, and receiving via the receive antennas receive signals resulting from backscattering of the transmit signals transmitted towards K targets. The method further includes processing the received reflection signals to determine the presence, range and/or angular position of a target within a field of view of the transmit antennas.