Digital background cancellation of digital to analog converter mismatch noise in analog to digital converters

A device for performing analog-to-digital conversion, comprising:

• a plurality of analog-to-digital conversion stages that form a pipeline, each conversion stage comprising:
• an internal analog-to-digital converter to convert a received analog signal into an intermediate digital signal;
• an internal digital-to-analog converter (DAC) that comprises a plurality of analog components and converts an intermediate digital signal into an associated intermediate analog signal;
• a dynamic element matching (DEM) circuit coupled to the DAC to permute configurations of the analog components within the DAC;
• a noise cancellation circuit coupled to receive a first digital sequence comprising a component of a digitized representation of an analog output of the DAC, and a second digital sequence representing a state of the DEM circuitry, the noise cancellation circuit operable to combine the first and the second digital sequences so as to estimate a digital representation of a DAC noise caused by error sequence introduced mismatches among the analog components within the DAC;
• and
• a digital subtractor block coupled to the noise cancellation circuit and operable to use the estimated digital representation of the DAC noise to reduce the DAC noise.