1. A communications transceiver comprising: i. N transmitters, where N is a positive integer, each containing a precoder; ii. N receivers, each comprising: (a) an FIR filter used as echo canceler, each filter coupled to a sum of the input signal and the compensation signal of the precoder of the corresponding transmitter; (b) a LMS weight update filter, coupled to the compensation signal of the precoder of the corresponding transmitter, is used to update the weights of the corresponding echo canceler; (c) an IIR filter 1 H ( z ) , where H(z) represents the transfer function of the precoder without the modulo device, coupled to the output of each echo canceler; (d) subtracting the output of the IIR filter 1 H ( z ) to generate an error signal; (e) filtering the error signal by an FIR filter H(z), and using this output for the corresponding LMS weight update filter to update the weight of the echo canceler; (f) a decoder to equalize and decode the symbol using a modulo device.