1. A receiver using antenna arrays in a cellular-communication system including a plurality of mobile stations comprising: means for receiving a signal; spatial filter means with up to one input for each antenna element and one output for each spatial channel; adaption means for adjusting the spatial filter means in order to enhance a desired spatial channel while suppressing other spatial channels; channel estimation means for computing estimated impulse responses for each desired channel based on training sequences and said output from said spatial filters; and MLSE detector means in said receiver for each of the mobile stations for detecting a data signal broadcast from each mobile station in said received signal based on said estimated impulse responses and said outputs of said spatial filter means.