Gram-Schmidt Orthogonalisation-based Antenna Selection for Pre-Coding Aided Spatial Modulation

Abstract

In this paper, we introduce a computationally-efficient antenna selection algorithm for the pre-coding aided spatial modulation (PSM) that is applicable in both the under-determined and over-determined multiple-input multiple-output (MIMO) systems. The proposed algorithm is based on a modified Gram-Schmidt orthogonalisation, where the optimisation function is the sum of scalars that is computed successively. The proposed algorithm does not only select antennas one-by-one with low computations, but it can also remove one or two antennas per iteration, leading to further reduction in the computational complexity. Simulation results show that the proposed algorithm achieves the optimal diversity with tolerable degradation in the bit-error-rate.