Patent ID: 7777658

Claim:
A system for converting digital signals into analog signals using sigma-delta modulation, comprising: a signed thermometer encoder for converting a plurality of signed binary data received at the signed thermometer encoder into a plurality of signed thermometer data, wherein positive binary data are converted into positive thermometer data and negative binary data are converted into negative thermometer data; and a rotational dynamic element matching (DEM) component for receiving the plurality of signed binary data and the plurality of signed thermometer data, the rotational DEM arrangement further comprising: a first barrel shifter for receiving a positive thermometer data, the first barrel shifter having a first pointer indicating a starting position of a next positive thermometer data, and a second barrel shifter for receiving a negative thermometer data, the second shifter having a second pointer indicating a starting position of a next negative thermometer data, wherein the first pointer is circularly shifted as a function of only the positive binary data and the second pointer is circularly shifted as a function of only the negative binary data.