A digital modulator includes a quantizer and a mapper. The quantizer converts a dithered signal value to a voltage. The mapper provides a modulated signal based on the voltage received from the quantizer. The mapper may maintain a substantially identical average centroid for modulated signals provided by the mapper. In an aspect, the mapper is included in a feedback of the digital modulator. The digital modulator may include any number of mappers. For example, a mode selection switch may select one of a plurality of mappers to map a voltage level received from the quantizer to a respective digital sequence.