Spectral shaping of circuit errors in digital-to-analog converters

Recently, various multibit noise-shaping digital-to-analog converters (DACs) have been proposed that use digital signal processing techniques to cause the DAC noise arising from analog component mismatches to be spectrally shaped. Such DACs have the potential to significantly increase the present precision limits of ΔΣ data converters by eliminating the need for one-bit quantization in delta-sigma modulators. This paper extends the practicality of the noise-shaping DAC approach by presenting a general noise-shaping DAC architecture along with two special-case configurations that achieve first- and second-order noise-shaping, respectively. The second-order DAC configuration, in particular, is the least complex of those currently known to the author. Additionally, the paper provides a rigorous explanation of the apparent paradox of how the DAC noise can be spectrally shaped even though the sources of the DAC noise-the errors introduced by the analog circuitry-are not known to the noise-shaping algorithm