Systems and methods for capacitive digital to analog converters

A capacitive digital to analog converter (DAC), comprising:

• a first capacitor that includes a first terminal and a second terminal, the second terminal connected to a common node;
• a first switching device that:
• includes a third terminal connected to the first terminal of the first capacitor;
• includes fourth and fifth terminals that are connected to first and second reference potentials, respectively, wherein the first and second reference potentials are approximately equal;
• includes sixth and seventh terminals that are connected to third and fourth reference potentials, respectively, wherein the third and fourth reference potentials are approximately equal;
• and
• selectively connects the third terminal to one of the fourth, fifth, sixth, and seventh terminals;
• a second capacitor that includes an eighth terminal and a ninth terminal, the ninth terminal connected to the common node;
• a second switching device that:
• includes a tenth terminal connected to the eighth terminal of the second capacitor;
• includes eleventh, twelfth, thirteenth, and fourteenth terminals that are connected to the first, second, third, and fourth reference potentials, respectively;
• and
• selectively connects the tenth terminal to one of the eleventh, twelfth, thirteenth, and fourteenth terminals.

A method of controlling switching of a capacitive digital to analog converter (DAC), the method comprising:

• connecting, via a first switching device, a first reference potential to a first terminal of a first capacitor of the DAC,
• wherein a second terminal of the first capacitor is connected to a common node of the DAC;
• based on a first voltage of a sample of an analog signal and a second voltage at the common node of the DAC, connecting, via the first switching device, at least one of a second reference potential, a third reference potential, and a fourth reference potential to the first terminal of the first capacitor of the DAC,
• wherein the first and second reference potentials are approximately equal, and
• wherein the third and fourth reference potentials are approximately equal;
• connecting, via a second switching device, the first reference potential to a third terminal of a second capacitor of the DAC,
• wherein a fourth terminal of the second capacitor is connected to the common node of the DAC;
• and
• based on the first voltage of the sample of the analog signal and the second voltage at the common node of the DAC, connecting, via the second switching device, at least one of the second reference potential, the third reference potential, and the fourth reference potential to the third terminal of the second capacitor of the DAC.