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In this paper, we propose a STF (space-time-frequency) coded OFDM (orthogonal frequency division multiplexing) transmission scheme for fast fading channels. We propose a simple STF-OFDM transmission scheme with time diversity gain. This STF-OFDM transmission scheme is a simple method for improving performance of conventional SF-OFDM by means of the Hadamard transformation in the time domain. Also our STF-OFDM can be encoded and decoded with low complexity, because the Hadamard transformation can be performed without multiplication.