In this paper, delay constrained performance of a multiple-input multiple-output (MIMO) communication system with orthogonal space-time block coding (OSTBC) at the transmitter is investigated. For alleviating the high complexity and cost of the MIMO system, receive antenna selection (RAS) scheme is employed here. We consider downlink channel where simple and cheap mobile switches are required. In this case, one antenna is chosen at the receiver. Moreover at the transmitter, in a perfect channel condition, there is no mutual coupling between transmit antennas. On the other hand, for a practical situation we assume spatial correlation between the transmit antennas. Under these assumptions, a maximum constant arrival rate with the delay quality-of-service (QoS) guarantee in a wireless channel is extracted. We obtain a closed-form solution for the effective capacity of the MIMO-OSTBC channel with the RAS scheme in a quasi-static Rayleigh fading conditions. Finally, the numerical simulations are provided and verified the theoretical results.