Abstract: In this paper, we analyze the performance of proposed diversity order of the optimal Transmit Antenna Selection (TAS) for Spatial Multiplexing (SM) systems with linear receivers. By using the diversity order N (M L + 1) for optimal TAS by selecting L antennas among M transmit antennas in the SM system with M transmit antennas and N receive antennas, which coincides with the well-known results of the respective diversity orders MN and N for the special cases when L =1and L = M.

Keywords: Diversity order, maximum likelihood (ML), minimum-mean-square-error (MMSE), spatial multiplexing(SM), transmit antenna selection (TAS).