The modulator comprises a first and second integration stages, and a comparator, the first integration stage is fully differential having: an amplifier, sets of input sampling capacitors and feedback capacitors, and the first integration stage is configured to sample the analog input voltage on a set of input capacitors during a first portion of a clock cycle and on a set of input capacitors during a second portion of the clock cycle and to sample the feedback reference voltage on a set of feedback capacitors during the first portion of the clock cycle and on a set of feedback capacitors during the second portion of the clock cycle, and the first set of feedback capacitors and the second set of feedback capacitors are randomly selected out of the plurality of sets of feedback capacitors from cycle to cycle.