Reconstruction of High Impulse Voltages Considering the Step Response of the Measuring System

High impulse voltages are usually measured using a divider system which may distort the impulse according to its step response. This paper presents two numerical methods for the reconstruction of the input signal x(t) from the distorted output signal y(t) and the step response g(t) of the measuring system. The first one, the deconvolution algorithm, is suitable for theoretical studies when the numerical values of y(t) and g(t) are exactly known, e.g., by their analytical expressions. But in practical applications, when measuring errors and disturbances are superposed on y(t) and g(t), this rather sensitive algorithm seems to be useless. An approximated reconstruction method is proposed by which the input signal is adequately composed of linearly rising elements and then improved by triangular elements according to the difference of the recalculated output signal to the true one. Both methods are illustrated by several numerical examples.