A method for discrete multitone (DMT) transmission is disclosed. In the method, a DMT signal is received from a transmission channel. The DMT signal is passed through a time-domain equalizer (TEQ) to obtain an equalized DMT signal. The DMT signal is passed through a target impulse response (TIR) filter to obtain a TIR signal. A mean square error (MSE) of an error signal is obtained from the equalized DMT signal and the TIR signal. A TEQ coefficient vector of the TEQ is iteratively updated based on the MSE of the error signal, a frequency kernel matrix corresponding to the TEQ and a frequency kernel matrix corresponding to the TIR filter.