The Method of Hidden Transmitters Detection based on the Differential Transformation Model

Abstract

The article investigates the method of calculating the basic parameters of random signals emitted by hidden transmitters. The method is based on a mathematical model of differential signal transformations within the framework of correlation theory. It is proved that under certain initial conditions the expected value of a random signal consists of the sum of all expectations of the differential spectrum. A method for numeric calculating of the variance, which consists of determining the differential spectrum and calculating the variance for each discrete component of the signal, is presented. The approach to determining the correlation function of a random signal is justified. It is shown that on the basis of two differential spectra it consists of the sum of all discrete components of the differential spectrum defined for the correlation function. As a partial case, the conditions for the coincidence of the correlation function with the variance are given. A model of hidden transmitter was built. In order to obtain its characteristics, a simulation of a random signal was made in the MathLab software environment, which modulates digital signal of hidden transmitter. The numerical parameters of the random signal are obtained: expectation and variance. Three-dimensional graphs of the results of random signal modeling have been constructed, which allows to visualize the implementation of the random signal. Graphical results of the signal itself and its expectation and variance were also obtained. Analysis of the statistical characteristics showed that the expectation completely repeats the graphical appearance of the signal. The variance graph repeats the signal at zero but with increasing time. These results confirm the adequacy of the mathematical model of the hidden transmitters based on the theory of differential transformations.

Development of the information system for monitoring time changes in forest plantations based on the analysis of space images

“…Various acquisition methods and algorithms for processing original images help accurately determine the qualitative and quantitative characteristics of the state of different territories of our planet. Works [5,6] described the method of obtaining data based on correlation theory, which makes it possible to effectively recognize and classify them. It is shown that the construction of a suitable classifier could significantly improve the efficiency of further image processing operations: localization, recognition, search, and tracking of covered by fires and forecasting the future occurrence of this natural disaster with further consequences was not considered.…”

“…Thus, our review of literary sources [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] revealed that they lack analysis based on a mathematical apparatus that detects the influence of harmful factors, and it is not specified where and how the information obtained and processed is stored. The issues of efficiency in determining forest areas that were affected by forest fires, with their further classification, assessment of burned areas, and analysis of relationships between parameters that negatively affect the tree stand remain unsolved.…”

Modification of the algorithm (OFM) S-box, which provides increasing crypto resistance in the post-quantum period

“…This algorithm is an exact copy of the block encryption algorithm, with one exception. The new one defines and establishes a permutation table for nonlinear transformation, which is absent in the old algorithm, and the task of its elements was entirely in the hands of the people implementing the algorithm [18][19][20][21]. Theoretically, if you self-identify the elements of the permutation table and keep the table secret, it will increase the longevity of the encryption algorithm (this actually increases the length of the key)…”

Evaluation of Quality of Hidden Transmitters Detection by a Group of Coordinated Unmanned Aerial Vehicles on the basis of Entropy Decrease Dynamics

“…Radiation analysis to search for suspicious objects is more complicated and less popular, so, it needs more in-depth consideration. An example of such a model is given in the publication of O. Laptev et al [3]. In addition, Savchenko's publications [4] and [5] consider the possibility of weak signals passing through shielding surfaces.…”