A radio receiver (30) comprises an ADC (13) including a clip counter. The power of digitised signals provided by the ADC (13) is estimated by a power estimator (31), and an ideal gain value is computed from the power so estimated by a gain computation device (32). Gain computation signals are fed to a gain control input of an amplifier (11) via an LPF (33). A saturation detector (34) is connected to a clip counter output of the ADC (13), and to a control input of the LPF (33). The saturation detector (34) is arranged when saturation of the ADC is detected to reduce the gain setting value by at least two steps, by which the gain of the amplifier is immediately reduced. A detector detects the Doppler frequency of signals received and accordingly determines the size of the drop in amplification which is effected when saturation of the ADC (13) is detected. The gain reduction may be 3 dB under very low Doppler shift conditions and 12 dB under very high Doppler shift conditions.