Characterization and compensation of dynamic non-linearities in digital data acquisition channels by means of the Discrete-Time Convolution Model

A technology-independent, behavioural non-linear dynamic model, which has been previously proposed by the authors for the accurate experimental characterization of digital acquisition channels, is considered in this paper for the compensation of the overall non-idealities within these measurement subsystems. It is shown how the non-linear dynamic equations of the model, which inherently describe both the static and the dynamic non-linearities affecting the channel, can be numerically inverted, allowing for the reconstruction of the spectrum at the input of the system from the corrupted samples available at its output. Different recursive algorithms for the solution of the non-linear problem involved into the procedure proposed are described. The choice among these can be accomplished according to the applicationdependent best trade-off between numerical convergence robustness and computational cost. Experimental results are provided, which validate the technique proposed.