A system includes an analog-to-digital converter (ADC) including an ADC input terminal; an ADC output terminal; and analog components configured to convert an analog signal received at the ADC input terminal to a digital signal. The system also includes a histogram estimation circuit coupled to the ADC output terminal and configured to generate information on a plurality of codes generated by the ADC and determine a region defining a range of codes corresponding to an occurrence of an error caused by the analog components of the ADC. The system also includes a dither circuit coupled to the ADC input terminal and configured to introduce a dither in the analog signal to generate a modified analog signal.