Bounds on the performance of analog-to-digital converter look-up table post-correction

Analog-to-digital converter additive post-correction using look-up tables is considered. The problem of successfully predicting the converter’s performance after correction is treated in particular. An accurate expression is provided that predicts the ADC performance after correction. The expression depends on differential non-linearity, random noise variance, and the numerical precision of the correction terms. The theory shows good agreement when compared with simulations and experimental converter data. The results are useful when designing systems involving ADCs and post-correction, since the performance parameters can be obtained with knowledge of a few ADC intrinsic parameters and the correction system resolution.