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Space-time trellis codes (STTCs) have been shown to efficiently use the transmit diversity to improve the error performance. In the existing STTCs, the transmit power is equally distributed across all the transmit antennas. However, this power allocation strategy is not optimum with regards to the error performance. We propose a new scheme, referred to as the space-time trellis codes with dynamic transmit power allocation (STTCs/DTPA), when partial channel state information (CSI) is available at the transmitter side. It is demonstrated that this scheme can achieve a full diversity order and have much better performance than general STTC schemes in error probability.