In this letter, we propose an iterative detection scheme in the presence of residual frequency offset (RFO) for orthogonal frequency-division multiplexing systems using an approximate application of the space-alternating generalized expectation-maximization (SAGE) algorithm. In the proposed scheme, the expectation step intends to divide the received signal into the desired signal and the interference signal. In the maximization step, the desired signal is used to estimate required parameters (i.e., RFO, data symbols, and channel state information) sequentially. Simulation results present that the proposed scheme shows almost ideal performance as long as the normalized RFO value is within 0.2. carrier frequency (несущая частота),