Abstract: In a digital transmission system comprising a transmitter (2) connected to a receiver (6) through a channel (4), this receiver comprises an equalizer (8) which includes an equalization filter (12) with output signals from which a sum weighted with weight factors is determined. The output signal of the equalizer is applied to a detector. According to the inventive idea a correction signal for correcting the coefficients w of the equalizer is derived from w.sub.k =w.sub.k-1 +Ma.sub.k e.sub.k, where a.sub.k is the vector of a plurality of successive detected symbols, and e.sub.k is a difference between the current input signal of the detector and a reconstructed ideal input signal of the detector.