Method for cancelling a narrow band interference in a single carrier signal, characterized in that the method comprises the steps executed by a receiver of: - receiving the single carrier signal and transforming the single carrier signal into received symbols, - transforming the received symbols from the time domain to the frequency domain into received symbols in the frequency domain, - determining an estimate of the combined signal and thermal noise power based on the received symbol powers in the frequency domain, the estimate of the signal and thermal noise power being determined by: - executing a first averaging of the total received powers of the received symbols in the frequency domain, - determining, at a first iteration, a temporary threshold based on the averaged total received power, - truncating all powers of the received symbols in the frequency domain which are greater than the determined temporary threshold at the first iteration, - executing a second averaging of the truncated powers, - correcting the second average by a correction coefficient, - determining at a following iteration a following temporary threshold based on the corrected average, - truncating all powers which are greater than the following temporary threshold, - executing a third averaging of the truncated powers, - correcting the third average by a correction coefficient, and executing (S603, S604) a predetermined number of times, the temporary threshold determination, the truncating, the third averaging and the correcting, - estimating, for each carrier of index k, a narrowband interference variance ω k from a received power p k of the subcarrier and from a threshold T a calculated from the estimate of the combined signal and thermal noise power, - equalizing the received symbols in the frequency domain or symbols derived from the received symbols in the frequency domain taking into account the estimate of the variances of the narrow band interference. - receiving the single carrier signal and transforming the single carrier signal into received symbols, - transforming the received symbols from the time domain to the frequency domain into received symbols in the frequency domain, - determining an estimate of the combined signal and thermal noise power based on the received symbol powers in the frequency domain, the estimate of the signal and thermal noise power being determined by: - executing a first averaging of the total received powers of the received symbols in the frequency domain, - determining, at a first iteration, a temporary threshold based on the averaged total received power, - truncating all powers of the received symbols in the frequency domain which are greater than the determined temporary threshold at the first iteration, - executing a second averaging of the truncated powers, - correcting the second average by a correction coefficient, - determining at a following iteration a following temporary threshold based on the corrected average, - truncating all powers which are greater than the following temporary threshold, - executing a third averaging of the truncated powers, - correcting the third average by a correction coefficient, and executing (S603, S604) a predetermined number of times, the temporary threshold determination, the truncating, the third averaging and the correcting, - estimating, for each carrier of index k, a narrowband interference variance ω k from a received power p k of the subcarrier and from a threshold T a calculated from the estimate of the combined signal and thermal noise power, - equalizing the received symbols in the frequency domain or symbols derived from the received symbols in the frequency domain taking into account the estimate of the variances of the narrow band interference.