Abstract: Methods and structures are provided to improve the transfer functions of analog-to-digital converter systems. They address the converter error function that corresponds to a converter's transfer function. In particular, they provide a corrector with a corrector transfer function that defines a corrector error function which substantially mirrors at least a portion of the converter error function. The corrector processes the converter's output digital signals to realize corrector digital signals which are then combined with the original output digital signals to obtain a system with a system error function that is significantly reduced from the original converter error function.