Algorithms for Automatic Selection of Antennas in a MIMO System without Enumeration of Combinations

Active research on MIMO systems and, in particular, on MIMO systems with automatic antenna selection has recently been carried out. The most effective antenna selection criteria require an enumeration of all possible antenna combinations. The criterion for the maximal throughput implies an algorithm using the Frobenius norm, which does not require an enumeration of all possible combinations of antennas. However, it leads to a significant deterioration in performance. In this paper, we propose an antenna selection algorithm using the criterion of the minimal trace of the correlation matrix (minimum mean square error, MMSE), which does not require an enumeration of all combinations of antennas and has small losses compared to complete enumeration.