Antenna selection criteria for interference alignment

Antenna selection is a powerful method in order to reduce the complexity of transmission and reception in a multi-antenna system. Interestingly, this method has been considered mostly for point-to-point communication. In this paper, we investigate the impact of different antenna selection criteria on the performance of wireless networks using interference alignment, a transmit strategy which has attracted a lot of interest, in order to improve the performance of wireless interference networks significantly. The selection criteria we consider for antenna selection are based on the properties of the channel such as signal-to-leakage-noise ratio, chordal distance, eigenvalues of the effective channel matrices and receiver side SNR. In order to avoid the exhaustive search needed to obtain the optimal solution we introduce three greedy low complexity selection algorithms. These algorithms perform reasonably well, however there remains a gap to the exhaustive search.