An anti-collision radar for a taxiing aircraft, characterized in that, being able to be attached laterally to the body of an aircraft and to detect obstacles on a collision course with a portion (5, 6) of the aircraft facing said radar (1, 2), it includes at least one emission antennal channel emitting a wave of the FMCW type and a plurality of reception antennal channels (320, 321, 322, 323) placed in the same plane, the form (FO 0, FO 1, FO 2 and FO 3) of said wave and the field of angular coverage of said radar depending on the velocity of the aircraft, the processing means of said radar carrying out at least the following steps: - establishing, in the coordinate system of the radar (1, 2), a first distance/Doppler map allowing echoes to be separated into distance and Doppler resolution cells in said plurality of reception antennal channels; - establishing a second distance/Doppler map smaller than the first map by selecting from the latter a subset of distance and Doppler resolution cells that corresponds to the possible positions of targets liable to collide with said portion (5, 6) of the aircraft, said selection depending on the velocity of the aircraft; - Establishing new distance/Doppler maps by forming beams computationally from the subsets of those distance resolution cells that are retained for each reception antennal channel, so as to separate the beam of angular observation in the plane of the antennal channels into at least two beams (101, 102, 103, 104, 105) in conformity with the principle of lobe sharpening by Doppler filtering in unfocused synthetic antenna processing; - temporally integrating, in each formed beam, a plurality of successive distance/Doppler maps obtained in the preceding step in order to obtain a final distance/Doppler map for each beam, the integration duration depending on the waveform used; these steps being followed by at least one detection step in each of the beams formed on the basis of said final distance/Doppler map. - establishing, in the coordinate system of the radar (1, 2), a first distance/Doppler map allowing echoes to be separated into distance and Doppler resolution cells in said plurality of reception antennal channels; - establishing a second distance/Doppler map smaller than the first map by selecting from the latter a subset of distance and Doppler resolution cells that corresponds to the possible positions of targets liable to collide with said portion (5, 6) of the aircraft, said selection depending on the velocity of the aircraft; - Establishing new distance/Doppler maps by forming beams computationally from the subsets of those distance resolution cells that are retained for each reception antennal channel, so as to separate the beam of angular observation in the plane of the antennal channels into at least two beams (101, 102, 103, 104, 105) in conformity with the principle of lobe sharpening by Doppler filtering in unfocused synthetic antenna processing; - temporally integrating, in each formed beam, a plurality of successive distance/Doppler maps obtained in the preceding step in order to obtain a final distance/Doppler map for each beam, the integration duration depending on the waveform used;