Abstract: Based on QR decomposition(QRD) of the equivalent channel,a suboptimal receiving antenna selection is provided for group layered space-time(GLST) systems with ordered successive interference cancellation detectors.A permutation matrix can be obtained by sorting according to the Frobenius norms of subchannels instead of the norms of row vectors in the Moore-Penrose pseudo-inverse matrix,so that the computational complexity is reduced.And then,a fast algorithm based on the equivalent channel is provided.Simulation results show that the proposed algorithms can achieve near-optimal outage capacity,and the performance of the ORD-based algorithm is close to that of the pseudo-inverse-based algorithm.There is a slight performance gap between the provided algorithms,but the fast one with lower complexity.