A constellation processing module of a receiver groups points of a constellation associated with a transmitted signal into a plurality of subsets. At least two adjacent ones of the subsets have one or more common constellation points so that the at least two adjacent subsets overlap. The constellation processing module also determines a centroid-based value for each of the subsets of constellation points. A non-final equalization stage localizes a search for a final symbol decision using a set of the centroid-based values as constellation points. An interference suppresser suppresses residual self-interference which arises from using the set of centroid-based values as constellation points to localize the search for the final symbol decision instead of the constellation points used to modulate the transmitted signal. A final equalization stage determines the final symbol decision using a subset of the constellation points used to modulate the transmitted signal.