Under the multi-antenna system, the Unitary Space-Time Modulation (USTM) technology was suitable for train-wayside communication under the high-speed railway scenario, as the technology did not require the receiver to know the real-time channel state information (CSI). In this paper, the error-rate performance of the optimal non-coherent receiver in the high-speed railway scenario was investigated, where the receiver needed the channel correlation information. Due to the fact that the information on the velocity of the train is more accessible than the information of the channel correlation, a simplified non-coherent receiver that only made use of the velocity information was proposed. Furthermore, the theoretical expression of pair-wise error probability (PEP) was derived. Analysis and simulation results showed that the error-rate performance of the proposed simplified non-coherent receiver was very close to that of the optimal receiver. ©, 2015, Science Press. All right reserved.