A radio communication method and system for transmitting multiple-user digital data information in a Code Division Multiple Access (CDMA) format over multipath and mutual-interfering channels to a receiving terminal with diversity antennas and equalization signal processing. At the receiving terminal, diversity antenna signals are grouped into time blocks and replicas are generated of the user-unique CDMA sequence signals for a set of K mutually interfering users. Within each time block the multiuser channel is estimated, equalization parameters are calculated, and decision-feedback equalization is used to produce multiuser estimates associated with a subset .lamda. of the K users. These estimates are deinterleaved and error-correction decoded to recover transmitted digital data information for the subset of .lamda. users. The invention includes embodiments for a CDMA sequence period that is equal to or longer than the transmitted data symbol interval with applications to current CDMA reverse link and forward link standards. Also embodiments for both decision-directed and reference-directed channel estimation are given.