Method for operating a radar system, said method including: - a transmission of a signal comprising, during a repetition period, a plurality of pulses, each pulse being transmitted in a different transmission frequency channel and during a different time interval, - a reception of a signal comprising a reflection of the transmitted signal by a target a position and/or a speed of which it is sought to estimate, the received signal also comprising noise and clutter, - a filtering of the received signal by a bank of digital filters, each digital filter having respectively a passband associated with one of the transmission frequency channels and supplying as an output a signal associated with a reception frequency channel, - an adapted filtering of the signal of each reception frequency channel during an integration sub-period, - a separation of the adapted-filtering results into several groups, so that the adapted-filtering results belonging to one and the same group have substantially equal phase shifts, - for each group, a coherent combination of the adapted-filtering results belonging to said group, - a Doppler filtering of the adapted-filtering results obtained for the various reception frequency channels for several successive integration sub-periods forming a coherent integration period overlapping several successive repetition periods, said Doppler filtering being based on the coherent combinations obtained for the various groups, - a determination of a distance and of a Doppler directing vector that maximise a signal-to-noise-plus-clutter ratio for the received signal, - an estimation of the position and/or of the speed of the target from the distance and from the Doppler directing vector thus determined. - a transmission of a signal comprising, during a repetition period, a plurality of pulses, each pulse being transmitted in a different transmission frequency channel and during a different time interval, - a reception of a signal comprising a reflection of the transmitted signal by a target a position and/or a speed of which it is sought to estimate, the received signal also comprising noise and clutter, - a filtering of the received signal by a bank of digital filters, each digital filter having respectively a passband associated with one of the transmission frequency channels and supplying as an output a signal associated with a reception frequency channel, - an adapted filtering of the signal of each reception frequency channel during an integration sub-period, - a separation of the adapted-filtering results into several groups, so that the adapted-filtering results belonging to one and the same group have substantially equal phase shifts, - for each group, a coherent combination of the adapted-filtering results belonging to said group, - a Doppler filtering of the adapted-filtering results obtained for the various reception frequency channels for several successive integration sub-periods forming a coherent integration period overlapping several successive repetition periods, said Doppler filtering being based on the coherent combinations obtained for the various groups, - a determination of a distance and of a Doppler directing vector that maximise a signal-to-noise-plus-clutter ratio for the received signal, - an estimation of the position and/or of the speed of the target from the distance and from the Doppler directing vector thus determined.