A method and a corresponding device for reducing enhanced noise generated as a result of applying vectoring to signals transmitted and subsequently received over a plurality of copper telephone loops involve receiving a set of intermediate values, which correspond to estimates of the transmitted signals. The intermediate values are generated by applying a vectoring procedure to initial samples of the received signals. The intermediate values are demodulated. At least one demodulated value is selected as a final estimate of a corresponding transmitted signal. The initial samples are then refined by removing each initial sample that has a corresponding selected demodulated value. The vectoring procedure, the demodulating, the selecting, and the refining are each repeated using the refined samples in place of the initial samples to generate new intermediate values that have reduced noise.