A system including an analog front end module, an equalizer module, a detector module, and a gain module. The analog front end module is configured to sample a signal read from a storage medium, convert the sampled signal into a digital signal, and output the digital signal. The equalizer module is configured to equalize the digital signal and output a data vector that corresponds to the equalized digital signal. The data vector represents data in the signal read from the storage medium. The detector module is configured to output a decision vector that corresponds to a noise-free ideal output vector of the decoded data vector. The gain module is configured to calculate a gain value based on the decision vector and the data vector, apply the gain value to the data vector, and output a revised data vector based on the data vector and the applied gain value.