Digital Correction Filter in Problems of Recovery of Input Signals and Observing Systems’ Data in Energy Objects

Abstract

The task of signal recovery is one of the most important for auto-mated diagnostics and control systems of an energy object. When solv-ing the inverse problems of recovering signals, images and other types of data, spectral distortions and losses occur (in some cases, very sig-nificant ones). They are primarily stipulated due to ill-posedness of these problems, which is the result of loss of information about the original signal due to strong (and even complete) suppression in the observed signal of a part of spectral components, which become indis-tinguishable against the background of errors and noise [1]. Besides, additionalspectral distortions may occur in the process of solving re-covery problems, which depend on specific methods used and their pa-rameters. A method for building a digital correcting filter for pro-cessing the results of solving incorrect inverse problems is proposed, which effectively improves the quality of the solution. The method is based on the use of a singular decomposition of the matrix (SVD) of a system of algebraic equations that approximates the integral operator.