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For transmission over wireless dispersive media, channel induced ISI is a major limiting factor. To mitigate such a time domain dispersive effect that gives rise to frequency selectivity, it will prove useful to transmit the information bits in blocks. Various methods have been proposed to combat ISI among which blind ones are appealing. In this paper it is shown that in block transmission case, independent component analysis (ICA) can be applied to combat ISI blindly. Based on this idea an ICA-based method is proposed that cancels ISI effectively. The performance of the method is also evaluated via simulation.