A method is provided for implementing a coding and adaptive modulation scheme for application to a point-to-point orthogonal frequency division multiplexed radio communications link. The method determines estimates of the likelihood of the two least significant bits of the digital representation of an input amplitude being a predetermined logical level. The likelihood estimates are input to a Forward Error Correction decoder, which produces a decision as to the state of the bits taking into account previous samples. Once the decision has been made, it is known what the ideal input amplitude would have been in the absence of noise and distortion, on the assumption that the decision was correct, and hence the contribution due to noise and distortion can be estimated. This knowledge can be used to assist the decoding of the most significant bits.