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We present a new differential space-time block coding (DSTBC) scheme. The new scheme can be represented by a trellis and decoded using the Viterbi algorithm. It provides a differential coding gain of 1 dB due to the redundancy introduced in the differential coding and it is only 2 dB away from the coherent space-time block codes (STBC). Furthermore, we extend this design of DSTBC to three and four transmit antennas.