The present invention concerns a method for cancelling a narrow band interference in a single carrier signal. 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 a signal and thermal noise power estimation based on the received symbol powers in the frequency domain,estimating variances of the narrow hand interference from the signal and thermal noise power estimation and the received symbol powers in the frequency domain,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.