A/D converters nonlinearity measurement and correction by frequency analysis and dither

In this paper, a new frequency-domain approach to measure and correct the static nonlinearity error of analog-to-digital converters is analyzed. The nonlinearity is measured as a linear combination of the Chebyshev polynomials, whose coefficients are derived via frequency-domain analysis, and corrected with a nonlinear equation solving method, which makes use of the parametric form of the static characteristic. The proposed methodology is especially suited for dithered converters, due to their particular features of smoother nonlinearity and very high resolution. Both simulation and experimental results are reported, quantifying also the achieved increase of effective bits.