On the use of the discrete-time convolution model for the compensation of non-idealities within digital acquisition channels

In this paper techniques for the compensation of the overall non-idealities affecting the operation of digital data acquisition channels are proposed, which are based on the exploitation of a non-linear dynamic model of these measurement sub-systems. It is shown how the non-linear dynamic equations of the model, which inherently describe both the static and the dynamic non-linearities associated with the behaviour of the channel, can be numerically inverted, and more accurate information on the properties of the system input signal achieved, starting from the corrupted sample records available at channel output. The procedure is based on the identification of a non-linear problem on the basis of the Harmonic-Balance approach, which can be solved by means of different recursive algorithms according to the application-dependent best trade-off between numerical convergence robustness and computational cost.