A geometrical analysis on transmit antenna selection for spatial multiplexing systems with linear receivers

For MIMO diversity schemes, it is well known that antenna selection methods that optimize the post-processing signal-to-noise ratio can preserve the diversity order of the full MIMO system. On the other hand, the diversity order achieved by antenna selection in spatial multiplexing (SM) systems, especially those exploiting practical coding and decoding schemes, has not thus far been rigorously analyzed. In this paper, from a geometrical standpoint, we propose a new framework to theoretically analyze the diversity order achieved by transmit antenna selection for independently encoded SM systems with linear receivers. Our results show that a diversity order of (N_T -1)(N_R -1) can be achieved for an N_RtimesN_T SM system in which L = 2 antennas are selected from the transmit side