Optimal decoding for data acquisition applications of sigma delta modulators

A class of optimal nonlinear decoding algorithms is proposed for data acquisition applications of sigma-delta (ΣΔ) modulators. The technique is applicable to all current ΣΔ structures, including single and double-loop, cascade, and interpolative modulators. While the performance of the technique is identical to that of other optimal nonlinear decoding schemes such as table lookup, it is considerably simpler to implement. Numerical results are presented to compare its performance to that of linear decoders. Effects of circuit imperfections on performance are examined