In a telecommunication system wherein digital information is transmitted in duplex via a hybrid circuit and a single conductor pair between first and second transmitter-receiver means, the method of minimizing at said first transmitter-receiver means disturbances in a line signal received via said single conductor pair and said hybrid circuit from said second transmitter receiver means when said first transmitter-receiver means is also transmitting signals representing data symbols b.sub.k to said second transmitter receiver means, said method comprising the steps of providing in said first transmitter-receiver means a balancing filter means for creating a plurality of balancing signals, subtracting a selected balancing signal from the line signal received from said second transmitter-receiver means and the disturbances arising from the signal being transmitted by said first transmitter-receiver means to provide a difference signal, periodically sampling the difference signal to generate a sampled signal, quantizing said sampled signals to form an estimation of the digital data represented by said line signal, generating a controllably variable reference signal, multiplying said reference signal by said estimation signal to form a product signal, substracting said sampled signal from said product signal to form an error signal correlating said error signal and said sampled signal, varying said controllably variable reference signal in response to said correlating step to decrease said error signal, adding said error signal to said sampled signal to form an auxiliary signal, correlating said auxiliary signal with a data symbol then represented by a transmitted signal and changing the selected balancing signal created by said balancing filter so that there is less correlation between said auxiliary signal and said data symbols whereby the influence on the convergence of said balance filter by said line signal is eliminated.