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The object of research is the process of improving the network architecture of enterprises in order to further optimize production processes. The subject of research is the design and optimization of structured cabling systems to automate the production processes of the enterprise. The aim of the work is to improve the method of designing and optimizing structured cabling systems for the transport needs of the cellular network for the needs of the enterprise. The study determined that the process of planning a radio network to automate production processes of the enterprise must be performed in accordance with the following sequence of steps: design of radio network coverage to determine the location of each base station (5G - gNb) and construction of communication transport segment with location cross-country premises. In this paper, research is conducted on the construction of a communication transport segment with the location of cross-country premises. For this purpose, the scope of the statistical method is determined and the choice of the location of the technical premises of the cross floor is substantiated. Conclusions. The research conducted in this paper allowed to develop methods for improving the network architecture of enterprises in order to further optimize production processes. As part of this, a 5G network planning method was developed to automate the production processes of the enterprise, which is to consistently ensure the design of the radio network coverage to determine the location of each base station using an optimized model to estimate the loss of radio signal power. bandwidth, number of connections and reliability and construction of the communication transport segment with the determination of the optimal location of cross-country premises. The developed method makes it possible to plan the optimal structure of the 5G cellular network to optimize production processes, evaluate and reduce the total cost of building the network, while providing the necessary indicators of service quality of network nodes and its reliability.

This paper presents the modeling of a robot's navigation using ultrasonic sensors under uncertainty. The robot tries to avoid obstacles by using the fuzzy logic controller to process the data coming from three ultrasonic sensors. To assess the performance of fuzzy logic optimized robot navigation controller with ultrasonic sensors, which measure the distance by calculating the time spent on the object and its return, the obstacles are placed in front of, left, and right of the robot. Mamdani fuzzy reasoning system is used for the designed controller for its intuitive properties and fewer setting parameters which reduces the amount of time spent on the programming of the controller. 25 rules are considered to cover a robot’s possible interactions with obstacles. For an easy understanding of navigation architecture and rapid algorithm implementation, in this paper, a MATLAB simulation framework is developed. MATLAB/Simulink is one of the best simulation tools required to design the architecture and verify algorithms with real-time constraints. Resultant models of the fuzzy optimized controller demonstrate the superior performance of the fuzzy logic controller with high adaptability to the environment while maintaining a sufficient level of accuracy. The designed fuzzy controller can be used in microprocessor/microcontroller-based robots owing to easiness in implementation and coding.

The subject of the article is the development of a method for implementing the arithmetic operation of adding the residuals of numbers, which are represented in the system of residual classes (RNS). This method is based on the use of positional binary adders. The purpose of the article is to improve the performance of computer systems (CS) and their components by introducing new ways of organizing calculations based on the use of RNS. Tasks: to analyze and identify the shortcomings of the existing number systems that are used in the construction of computer systems and components; explore possible ways to eliminate the identified deficiencies; explore the structure of binary positional adders, taking into account the scheme for adding two residues of numbers modulo RNS; to develop a method for constructing adders modulo RNS, which is based on the use of a set of binary single-digit positional adders. Research methods: methods of analysis and synthesis of computer systems, number theory, coding theory in RNS. The following results are obtained. The paper shows that one of the promising ways to improve the performance of the CS is the use of RNS. The mathematical basis of RNS is the Chinese remainder theorem, which states that an integer operation on one large modulus can be replaced by a set of operations on coprime small modules. This opens up broad prospects for optimizing calculations. On the one hand, it is possible to significantly simplify the performance of complex and cumbersome calculations, including on low-resource computing platforms. On the other hand, calculations for different modules can be performed in parallel, which increases the performance of the CS. Conclusions. The article considers the operation of adding two numbers. This operation is the basis for both traditional positional number systems and RNS, i.e. forms the computational basis of all existing CS components. A new method for calculating the sum of the residuals of numbers modulo an arbitrary is proposed, and examples are given that clearly demonstrate the effectiveness of the proposed method. This method can be used in various computer applications, including for improving computing performance, ensuring fault tolerance, etc.

The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results. The paper considers the method of extending interval numbers defined in hyperbolic form (hyperbolic interval numbers) to the field of complex numbers. To do this, the real and imaginary part of a complex number is presented in the form of a hyperbolic interval number. The connections between the representation of interval numbers in the classical form, the CENTER-RADIUS system and the hyperbolic form are established. Methods of performing basic arithmetic operations with hyperbolic complex numbers are proposed, namely: addition, subtraction, multiplication and division. A method of raising the positive interval number of a complex interval number defined in a hyperbolic form to an integer positive degree is proposed. Methods for calculating the modulus and argument of a complex number defined in hyperbolic form are proposed. A method for determining the root of a degree from an interval complex number represented in hyperbolic form is proposed. Using the connections between hyperbolic and trigonometric functions, a form of representation of an interval number in trigonometric form is proposed. It is established that it is most expedient to perform addition and subtraction actions with complex interval numbers, which have a classical form or are defined in the CENTER-RADIUS system. The operations of multiplication, division and elevation to an integer power are most expedient to perform with complex interval numbers which are defined in hyperbolic form. The operation of calculating the root of a degree from an interval complex number, presented in hyperbolic form, is most expedient to perform with the combined use of the representation of the interval number in the system CENTER-RADIUS and in hyperbolic form.

Today, a variety of information about forest ecosystems can be obtained using remote sensing methods. The use of space data for forest monitoring is cost-effective because it allows you to quickly obtain the objective information needed by foresters to solve practical problems. Satellite data provide wide coverage of forest lands, high accuracy of results, as well as high frequency of data obtained. Space images of the Ovruch district of the Zhytomyr region of Ukraine in the summer of 2020 were selected for the study. Determination of breed composition was carried out by the methods of controlled classification, namely the Bayesian classifier. It was found that 70 % of forests are pine, less aspen, hornbeam, birch, alder and ash tree species. According to statistics, during 2000-2020, 51.4 thousand hectares of forest plantations in Ukraine were damaged and destroyed by forest fires. Therefore, objective and timely information on the consequences of fires is needed to solve a wide range of applied problems of forestry. An important task in assessing the environmental and economic damage caused to forestry as a result of forest fires is to determine the area of damaged forests. The paper considers technologies for determining the area of the forest where the fire took place, using space images of the Landsat 8 satellite. The normalized NBR fire index before and after the fire and the DNBR index are used to identify areas burned by fire and impression levels. To predict forest fires, a mathematical model based on Bayes' theorem was created and a thematic map with fire hazard classes on a quarterly basis was created. To check the accuracy of the results of the created forecast model, the thematic map was combined with a layer of defined fire areas. This software product is quite flexible and versatile, it can be easily adapted for use not only to identify burned forest lands, but also for other areas.

In the modern world, the image is becoming a more powerful means of communication. In the era of digitalization, people can express their thoughts, feelings, and more through images. The main difficulty of the author is always how to prove his authorship. Therefore, the development of the latest technologies for confirming authorship of digital images is relevant. The object of the study is the process of confirming the fact of the right to own a digital image. The subject of the study is the information technology of proof of authorship for digital images. Taking into account modern trends and results of using blockchain for copyright protection, this paper proposes an information technology for confirming ownership of digital images based on blockchain technology and digital watermarks to provide a reliable guarantee of copyright establishment. Proposed digital image ownership information technology using digital watermarking, blockchain, image hash function and IPFS to create a brand new decentralized ownership verification technology in the digital age of the Internet. As far as file types are concerned, this article only mentions digital image copyright management. In the future, the technology could be extended to include audio, video, and other types of media files to create a single system for verifying ownership of any digital content.

The fiber-optic communication lines and fiber-optic transmission systems using fiber-optic cable, receiving and transmitting optical modules based on WDM and DWDM (Wavelength Division Multiplexing & Dense WDM) technologies are studied. A method for calculating the transmission characteristics fiber-optic communication lines is proposed and relationships are obtained that establish an analytical relationship between the length regeneration section and the transmission rate. This paper discusses the study and analysis indicators fiber-optic communication lines using spectral WDM and DWDM technologies.

The paper presents an intelligent method for detecting UAV spoofing. A distinctive feature of the method is the use of subtrajectory calculation technology based on visual odometry subtrajectories and GPS positions in a sliding window, taking into account the intelligent estimation of the optical flow and the formation of UAV “Ego-movement” descriptors. In the course of the study, an analysis and comparative studies of a wide range of UAV spoofing methods were carried out, the most frequently recommended and practically used methods were identified. The conclusion is made about the relevance of the problems of GPS spoofing. The analysis of methods of protection against UAV GPS spoofing has been carried out. Promising directions for intelligent detection of UAV spoofing using methods and means of visual odometry are identified. In the course of studying methods for fixing input data, an approach was proposed for estimating the optical flow using a sliding window. At the same time, the need for intelligent processing of input data is argued. The estimation of the optical flow and the formation of descriptors was carried out using recurrent convolutional neural networks. As a result, a block diagram of the UAV spoofing detection method was developed. This allowed us to study the developed method. The results of the experiment for two spoofing scenarios showed the efficiency of estimating the positions of at least two of the three indicators under the conditions of using sliding windows of size 15 or more, with a time delay of half the window size.

The rapid development of mobile Internet technologies LTE (Long-Term Evolution) not only predetermined the further development of cyber-physical systems, which are based on the synthesis of technologies of classical computer systems and LTE technologies, as well as integration with Internet-of-Things technologies. As a result, the emergence of sociocyberphysical systems predetermines further development based on this integration. The creation of mesh- and sensor networks also allows the development of smart technologies and systems based on their conglomeration. The development and creation of a quantum computer, on the one hand, will make it possible to make a technical breakthrough in computing resources, use artificial intelligence, and on the other hand, it can lead to “chaos” in ensuring the security of modern technologies and systems. So, based on the algorithms of Shor and Grover quantum cryptography, symmetric cryptosystems based on traditional cryptography algorithms, as well as asymmetric cryptosystems, including systems based on elliptic curve cryptography, can be broken. The paper proposes to use a new approach to building security systems based on the concept of internal and external security contours. At the same time, security contours of continuous business processes are considered. This approach provides an objective assessment of the current state of security of the socio-cyber system as a whole.

The object of research in the article are the tools and capabilities of the C# programming language for the implementation of cybersecurity analysis software in local computer networks and computer-integrated systems. The relevance of the study is due to the importance of information security of computer and computer-integrated systems in government, military-industrial complex, private business etc., and due to the importance of training cybersecurity professionals in higher education to consider teaching examples in popular programming languages. The goal of the work is to research the possibilities of the C# programming language for the development of software that analyzes cybersecurity in local computer networks and computer-integrated systems. The tasks to be solved are: to develop software for scanning network device ports in computer networks and computer-integrated systems for information security audit, using tools and libraries of the C# programming language, to research the benefits and possibilities of using this programming language for this task. Research methods: theory of computer networks, object-oriented programming, theory of algorithms and data structures, theory of software testing. Conclusions. In this paper the possibilities and advantages of the C# programming language for developing cybersecurity analysis software for computer and computer-integrated systems were explored. In the course of work software that analyzes information security in local computer networks and computer-integrated systems was developed. This software can be used for educational purposes in learning the C# programming language and cybersecurity of computer systems. The developed software has the potential to be further improved and applied in various fields to test the cybersecurity of local computer networks and computer-integrated technologies.

. The problem of modeling the propagation local magnetic fields and spatially dispersed sources is large errors compared to field measurements. An important aspect of adequate modeling is the use of the correct mathematical apparatus. It is shown that in order to obtain reliable models of the propagation magnetic fields around electrical machines (generators, electric motors of different power, geometric dimensions and poles), it is advisable to apply the Gauss equation for a scalar potential. The solution of the equation in polar coordinates makes it possible to take into account not only the fundamental, but also other harmonics of the magnetic field (dipole, quadrupole, octupole). This allows, depending on the number of spatial harmonics taken into account, to obtain a model with the required accuracy (error) for predicting the magnetic field strength at any point around the machine. It is considered in the paper that an electronic machine is an object of base radius R0. The presented approach makes it possible to unambiguously determine the location of zero field points at a distance from the source (for a quadrupole source and zero field lines, for an octupole source). The results of modeling and their verification by full-scale measurements for the most common four-pole machines (quadrupole source) are presented. The main task of modeling the propagation the magnetic field of such sources is to ensure the required accuracy based on the goals of modeling. It is shown that the modeling accuracy and the presence of zero field points are due to different field levels near the electrical machine housing for different harmonics. The dipole harmonic at the cabinet is 20% of its own harmonic. But it falls more slowly with distance. This necessitates taking into account a different number of harmonics depending on the value of the ratio R0/R, R is the distance to the point of determining the field strength from the source. Therefore, with the ratio R0/R=2/3, the eighth harmonic is essential. At R0/R=1/5, already the fourth spatial harmonic can be neglected. Such data allow you to choose a rational number of harmonics. This reduces the amount of calculations and simplifies the process of modeling the propagation of the magnetic field around the source.