A method and apparatus for mitigating multi-user interference in reception of a code division multiple access (CDMA) signal is described. The CDMA signal has a plurality of spread user symbol streams, each spread by a corresponding one of a plurality of spreading codes. Estimated symbols are iteratively improved by forming a reconstructed signal from the estimated symbols, subtracting the reconstructed signal from the CDMA signal to create a difference signal, and adjusting the estimated symbols based on a combination of the difference signal and the estimated symbols.