Orthogonal frequency division multiplexing (OFDM) communication systems encounter performance limitations due to time-varying channels common in wireless applications. The channel variations introduce inter-carrier interference (ICI) in the received signal. To compensate, groups of adjacent OFDM carriers can be processed to cancel the interference. This paper considers a two-stage ICI cancellation technique. In the first stage, linear preprocessing compresses the effective ICI response. The second stage generates an MMSE estimate of the transmitted data. Simulation results for a DVB-T receiver using this technique show that frequency domain ICI response shortening performs best when combined with the receiver channel estimator.