Digital to analogue converter with dynamic element matching

An analogue to digital converter (ADC) comprising:

• a subtractor for receiving a main analogue input and a feedback analogue input, and for producing an output equal to the difference between the main input and the feedback input;
• an analogue loop filter coupled to the output of the subtractor;
• a quantiser coupled to the output of the analogue loop filter;
• and
• a digital to analogue converter (DAC) system comprising:
• a plurality of digital to analogue converter elements, where at least some of the elements have a different nominal weight to other elements, and elements having the same nominal weight are associated to form element combinations, each element combination having more than two output states;
• a selection unit coupled to the digital to analogue converter elements;
• and
• an adder to sum the weighted elements;
• whereby, in use, the digital to analogue converter system receives a digital signal and the selection unit determines the output state of each element combination to provide values of weighted elements which, when summed, are equivalent to the digital signal and the selection unit also determines the output state of each element in each element combination to minimise errors;
• and wherein the DAC is located in a feedback loop such that the input to the DAC is coupled to the output of the quantiser and the output of the DAC is coupled to the feedback analogue input, whereby, in use, an analogue signal applied to the main input is continuously compared with the signal on the feedback input so that the signal on the output of the quantiser is minimised.

A method of converting a digital signal to a corresponding analogue signal, the method comprising the steps of:

• providing a digital to analogue converter having a plurality of digital to analogue converter elements, where at least some of the elements have a different nominal weight to other elements and elements having the same nominal weight are associated to form element combinations, each element combination having more than two output states;
• receiving a digital signal;
• determining the output states for each element combination;
• determining for each element combination the output state of each element so that when summed with other elements in the element combination the output state for each element combination is correct and errors are minimised;
• whereby, when all of the elements are summed an analogue signal is produced which corresponds to the input digital signal.