A MCM (multi-carrier modulation) receiver that utilizes a plurality sub-carriers (e.g., tones) to transmit information in a frame-by-frame manner. Identify a first subset of sub-carriers that have negligible ISI (inter-symbol interference) and ICI (inter-carrier interference), and a second subset of sub-carriers that ISI/ICI cancellation is needed to improve the performance. For sub-carriers in the first subset, conventional equalization is performed to obtained soft decisions. For those sub-carriers in the second subset, perform ISI cancellation then ICI cancellation along with equalization. For sub-carriers in the second subset, identify a series of third subsets (one for each of the sub-carriers in the second subset) that cause interference to the sub-carriers in the second set. For sub-carriers in the third subset, identify a series of fourth subsets from a previous frame that cause interference to the sub-carriers in the third set. For each element in the third subset, perform ISI cancellation to eliminate the interference from the elements in the fourth subset from the previous frame to obtain a plurality of intermediate decisions. For each element in the second subset, perform a combined equalization and ICI cancellation using said intermediate decisions. The selection of the first subset, the second subset, the third subset, and the fourth subset are based on examining the frequency response of the communication channel.