An analog to digital conversion circuit comprises a first digital noise cancellation filter (16) configured to provide a signal to cancel quantization noise from an analog to digital converted output signal. In a calibration phase a second digital noise cancellation filter (26) is has an input coupled to an input of the first digital noise cancellation filter (16). Mutually different sets of at least one-filter coefficients are programmed in the first and second digital noise canceling filters (16, 26). A difference is computed of averaged size indications of digital output signals derived using signals from the first and second digital noise cancellation filters (16, 26) using the same input signal. Updates of the sets of at least one filter coefficients are adapted dependent on the difference between the averaged size indications.