A method for selects antennas in a spatial division multiple access (SDMA) wireless network that includes a base station and a set of mobile stations, in which the set of mobile stations includes one or more designated mobile stations, and in which each designated mobile station has a set of multiple antennas. Channel state information (CSI) is acquired for a channel between each mobile station in the set of mobile stations and the base station, and in which the CSI for each designated mobile station is acquired for different subsets of the set of multiple antennas at each designated mobile station. For each designated mobile station, a globally optimal subset of the set of antennas is selected based on the CSI acquired from all the mobile stations.