Probability information generated by a decoder as part of the symbol decoding process is fed back for use by a multi-stage demodulator that employs serial localization with indecision so that the accuracy of the final symbol decision generated by the multi-stage demodulator is improved. The multi-stage demodulator has one or more non-final stages operable to localize a search for the final symbol decision of a received signal using centroid-based values as constellation points instead of modulation symbols associated with the received signal. A final stage of the multi-stage demodulator is operable to determine the final symbol decision using a subset of the modulation symbols as constellation points. The decoder is operable to decode the final symbol decision, including generating probability information related to the modulation symbols. The multi-stage demodulator is operable to revise the final symbol decision based on the probability information related to the modulation symbols.