The invention is a method directed to group MMSE-DFD with rate (SINR) feedback and without pre-determined decoding order for reception on a cellular downlink. The method includes initializing channel matrix estimates and inner codes of all co-channel transmitter sources in a wireless network. Each channel matrix estimate is converted into an effective channel matrix responsive to the inner code of the corresponding transmitter source; The channel estimates or the inner codes or the modulation and coding schemes are not known for some of the transmitter sources whose transmitted signals are consequently treated as interference and deemed un-decodable.