— In recent years, coherent space-frequency (SF) coded multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM) systems have attracted great attention. However, obtaining perfect channel estimates for frequency-selective channels with lots of taps is challenging and computationally complex. In this paper, we present a transmission scheme that uses differential space-frequency group codes (DSFC) for MIMO-OFDM systems. Our proposed scheme is based on the theory of space-frequency group codes. We use the group properties of space-frequency codes that has recently been investigated and obtain a differential transmission rule incorporated with subcarrier allocation method that allows data to be sent without channel estimates at the transmitter or receiver. Recently proposed noncoherent space-frequency codes using MIMO-OFDM have exponential computational complexity with code rate in frequency-selective channels. Compared to existing noncoherent space-frequency ...