A MCM (multi-carrier modulation) receiver that utilizes a plurality tones to transmit information. Identify a first subset of tones that have negligible ISI (inter-symbol interference) and ICI (inter-carrier interference), and a second subset of tones that ISI/ICI cancellation is needed to improve the performance. For tones in the first subset, conventional FEQ (frequency-domain equalization) is performed to obtained soft decisions from the raw decisions. For those tones in the second subset, perform FEQ along with ICI/ISI cancellation. For tones in the second subset, identify a third subset (one for each of the tones in the second subset) to perform ICI cancellation and a series of fourth subsets (one for each of the tones in the second subset) to perform ISI cancellation. The selection of the first subset, the second subset, the third subset (for each of the tone in the second subset), and the fourth subset (for each of the tone in the second subset) are based on examining the frequency response of the communication channel.