Decomposition and Regularization of the Solution of Ill-Posed Inverse Problems of Processing Measurement Information. Part 3. Experimental Confirmation of Theory

Abstract

Experimental confirmation of the adaptive theory of recognition and stable determination of information components as part of a given vector of estimated parameters of an ill-posed inverse problem that arises in the processing of measurement information is presented. The experiment is based on numerical simulation of the problem of determining the parameters of a transformation of the coordinates of the points of a satellite geodetic network into the state coordinate basis by means of a decomposition model. The advantages of the Helmert decomposition model and an adaptive regularization algorithm for stable estimation of the information regularization parameters for stable estimation of the information parameters of a transformation by comparison with the initial Helmert model are confirmed.