This paper studies downlink transmits antenna selection with power and rate allocation in generalized distributed wireless communication systems (G-DWCS). Based on the large-scale fading statistics (path loss and shadow fading) at the transmitter, antenna selection criteria have been proposed for combined space time block code (STBC) and Vertical Bell-Labs Layered Space Time (V-BLAST) structure, where each layer of V-BLAST is composed of co-located multiple antennas for independent STBC transmission. The sub-optimal antenna set, sub-optimal power and rate allocation are determined to minimize an upper bound on the symbol error rate (SER). At the receiver a fixed detection order is followed which is obtained meanwhile in the antenna selection process at the transmitter. It's verified by Monte Carlo simulation that our proposed antenna selection criteria can judiciously select the optimal antenna set and allocate proper power and rate, and are very suitable for G-DWCS system