Successive detection based minimum probability of error beamforming

A novel receiver optimization for spatial multiple access scenario is studied in this paper where each user uses single antenna and multiple antenna array is used at the base station. To achieve space division multiple access, the newly introduced minimum probability of error (MPE) beamforming method is used instead of the conventional minimum mean square error (MMSE) beamforming. To increase the number of admitted users to the system, a new set of beamforming weight vectors is obtained for non-admitted users by minimizing their error probability conditioning on the detection of the admitted users. Moreover, a heuristic algorithm is presented to utilize the proposed detection-based minimum probability of error beamforming in a successive manner. By numerical analysis it is shown that the proposed method is able to support more users than MPE and MMSE beamforming in addition to providing better performance in the sense of probability of error.