Development of a New Approach to the Problem of Detecting the Integrity Violations of a Digital Image

The energy sector is an integral part of the critical infrastructure of any state and is particularly sensitive to the quality of information security systems. Due to the diversity of activities of various organizations in the energy industry, almost all threats to information security are relevant to them, in particular, unauthorized changes in information content. The aim of the work is to develop the new approach to the examination of the integrity of images, which will provide the possibility of building universal methods for detecting its violations, effective regardless of the strength and type of influences that change them. The aim was achieved by: introducing the concept of “frequency index” for the singular vector of the image matrix, and study of the properties of the dependence of the frequency index of a singular vector on its number. The most important result of the work is the almost constant rate of increase the trend of the studied function, which results in the linearity of the frequency index of singular vectors for digital images, the integrity of which is not violated. This characteristic is sensitive to any changes in the image matrix. The significance of the obtained result lies in the fact that the use of the established properties for the function of the dependence of the frequency index of singular vectors on its number makes it possible to develop universal integrity examination methods that are effective regardless of the strength and type of disturbances that violated the integrity of the image.