A method and system of canceling radio frequency interference (RFI) sourced from a narrow-band radio frequency transmitter to interfere with the operation of a multi-carrier modulation system. The spectral components of the RFI can be represented as a Taylor series of 1/(m-1/2) where m is an integer and (m-1/2) is a normalized approximate distance between the frequency of interest and the center frequency of the RFI. The coefficients of the Taylor series are obtained by solving a set of linear equations using the Fourier output at several properly chosen frequencies where the REI components dominate. The coefficients for the Taylor series are formulated as linear combinations of the FFT output at the chosen frequencies and are computed and stored beforehand. Simple multiplications and additions are needed for obtaining the Taylor series coefficients from the FFT output at the chosen frequencies. The coefficients of the Taylor series can be obtained for any frequency, and the spectral component of the RFI can be estimated and removed from the MCM signals.