A method for ICI self-cancellation and ICI reconstruction and cancellation is introduced. The method includes receiving input signals; receiving boundary information regarding a length q of an ISI-free region of the received signals; selecting a plurality of ISI-free signals from the received signals; combining the plurality of ISI-free signals to provide combined signals z(n); performing FFT operations on the combined signals to provide output signals Z(k); reconstructing ICI based on the output signals Z(k) and the length q of the ISI-free region of the input signals r(n) in order to provide an estimated ICI; subtracting the estimated ICI from the output signals Z(k) to provide a cancelled signal W(k); performing a channel estimation for the cancelled signal W(k); equalizing the cancelled signal W(k) to provide an equalized signal; and de-mapping the equalized signal to provide a de-mapped signal d(k).