Abstract: In order to design wireless communication systems with predictive transmit antenna selection (TAS) and orthogonal space-time block code (OSTBC) on Rayleigh block fading channel, the trade-off problem among the number of transmit/receive antennas, the block length, the length of minimum mean square error (MMSE) channel predictor needs to be considered. As a theoretical analysis tool, random coding error exponent (RCEE) can effectively solve the above problems. The closed-form expressions of RCEE of wireless communication systems with TAS/OSTBC on Rayleigh block fading channel are derived by using Meijer-G function and Tricomi hypergeometric function. The closed-form expressions of the relationship among RCEE and ergodic capacity, cut-off rate, expurgated exponent of the above systems are also developed. The numerical calculation and simulation results of the above performance parameters prove the correctness of the above theoretical analysis. The results also show that the RCEE of the TAS/OSTBC wireless communication system with channel prediction is larger than that of TAS/OSTBC wireless communication system under feedback delay. The required code length for the TAS/OSTBC wireless communication system can be calculated by using the expurgated exponent at the low information rate.