In a data receiver for a data transmission system using a QAM technique, of the type that includes an adaptive equalizer and a data detection device which receives as input signal the received signal after the latter has been, in particular, equalized, and provides the detected data after comparing said input signal with a first constellation, a device for training the equalizer, characterized in that it includes:
- an auxiliary data detection device wherein said input signal is compared with a second constellation comprising fewer points than said first constellation and which selects that point of said second constellation which is nearest the point representative of said input signal and generates an error signal that is dependent upon the distance between said point representative of said input signal and the selected point of said second constellation, and
- means for deriving from said error signal control signals for adjusting the coefficients of the equalizer.