Harmonic Operators in Mathematical Models of Sources of Detection of Unauthorized Access to Information

Information is already the most modern weapon. The winner in the information war is the one who knows how to protect important information and information in general. To obtain access to information, many methods are used, but the method of obtaining information using covert information remains relevant. Recently, the problem of approximation of discrete signals is gaining more and more relevance. Even though many works have been published on this and related topics, research in this field is still actively conducted. The work is devoted to the use of mathematical models in cyber security, which are described by the Poisson biharmonic integral for the detection of hidden devices depends on specific conditions and characteristics of the acoustic environment. The use of biharmonic functions, which provide a decomposition of the signal into corresponding orthogonal basis functions, is a convenient natural tool. The resulting mathematical apparatus can be useful for accelerating the search for the analysis of spectral characteristics of acoustic signals that fill a certain spatial region.