Method of Analysis of the Structure and Estimation of Parameters of Linear Combinations of Gaussian Temporary Signals

The article presents the results of the development of a method for analyzing the structure and estimating the parameters of multicomponent Gaussian signals. The results of solving the problems of modeling and analyzing the structure for different dimensions of linear mixtures of Gaussian time signals are presented. The results of solving the problems of modeling and estimating the parameters of typical variants of binary mixtures of signals with different degrees of overlap, formed by linear overlapping of elementary signals of the same shape, but differing in duration and amplitude, are given. Such signals are often found in applied problems of electrical engineering, radio engineering in a wide class of applied information-measuring systems. The method allows to estimate the true values of the parameters of signals subject to distortion as a result of overlap. This method does not require a priori information about the structure of a multicomponent signal; It has high accuracy and ease of computational implementation. The method provides the ability to automate the processing of multicomponent signals, expands the capabilities of primary information converters.