Radio Electronics, Computer Science, Control http://ric.zntu.edu.ua/ <p dir="ltr" align="justify"><strong>Description:</strong> The scientific journal «Radio Electronics, Computer Science, Control» is an international academic peer-reviewed publication. It publishes scientific articles (works that extensively cover a specific topic, idea, question and contain elements of their analysis) and reviews (works containing analysis and reasoned assessment of the author's original or published book) that receive an objective review of leading specialists that evaluate substantially without regard to race, sex, religion, ethnic origin, nationality, or political philosophy of the author(s).<span id="result_box2"><br /></span><strong>Founder and </strong><strong>Publisher</strong><strong>:</strong> <a href="http://zntu.edu.ua/zaporozhye-national-technical-university" aria-invalid="true">National University "Zaporizhzhia Polytechnic"</a>. <strong>Country:</strong> Ukraine.<span id="result_box1"><br /></span><strong>ISSN</strong> 1607-3274 (print), ISSN 2313-688X (on-line).<span id="result_box3"><br /></span><strong>Certificate of State Registration:</strong> КВ №24220-14060ПР dated 19.11.2019. The journal is registered by the Ministry of Justice of Ukraine.<br /><span id="result_box4">By the Order of the Ministry of Education and Science of Ukraine from 17.03.2020 № 409 “On approval of the decision of the Certifying Collegium of the Ministry on the activities of the specialized scientific councils dated 06<br />March 2020”<strong> journal is included to the list of scientific specialized periodicals of Ukraine in category “А” (highest level), where the results of dissertations for Doctor of Science and Doctor of Philosophy may be published</strong>. <span id="result_box26">By the Order of the Ministry of Education and Science of Ukraine from 12.21.2015 № 1328 "On approval of the decision of the Certifying Collegium of the Ministry on the activities of the specialized scientific councils dated 15 December 2015" journal is included in the <strong>List of scientific specialized periodicals of Ukraine</strong>, where the results of dissertations for Doctor of Science and Doctor of Philosophy in Mathematics and Technical Sciences may be published.</span><br />The <strong>journal is included to the Polish List of scientific journals</strong> and peer-reviewed materials from international conferences with assigned number of points (Annex to the announcement of the Minister of Science and Higher Education of Poland from July 31, 2019: Lp. 16981). </span><span id="result_box27"><br /></span><strong> Year of Foundation:</strong> 1999. <strong>Frequency :</strong> 4 times per year (before 2015 - 2 times per year).<span id="result_box6"><br /></span><strong> Volume</strong><strong>:</strong> up to 20 conventional printed sheets. <strong>Format:</strong> 60x84/8. <span id="result_box7"><br /></span><strong> Languages:</strong> English, Ukrainian. Before 2022 also Russian<span id="result_box8"><br /></span><strong> Fields of Science :</strong> Physics and Mathematics, Technical Sciences.<span id="result_box9"><br /></span><strong> Aim: </strong>serve to the academic community principally at publishing topical articles resulting from original research whether theoretical or applied in various aspects of academic endeavor.<strong><br /></strong><strong> Focus:</strong> fresh formulations of problems and new methods of investigation, help for professionals, graduates, engineers, academics and researchers disseminate information on state-of-the-art techniques according to the journal scope.<br /><strong>Scope:</strong> telecommunications and radio electronics, software engineering (including algorithm and programming theory), computer science (mathematical modeling and computer simulation, optimization and operations research, control in technical systems, machine-machine and man-machine interfacing, artificial intelligence, including data mining, pattern recognition, artificial neural and neuro-fuzzy networks, fuzzy logic, swarm intelligence and multiagent systems, hybrid systems), computer engineering (computer hardware, computer networks), information systems and technologies (data structures and bases, knowledge-based and expert systems, data and signal processing methods).<strong><br /></strong> <strong> Journal sections:</strong><span id="result_box10"><br /></span>- radio electronics and telecommunications;<span id="result_box12"><br /></span>- mathematical and computer modelling;<span id="result_box13"><br /></span>- neuroinformatics and intelligent systems;<span id="result_box14"><br /></span>- progressive information technologies;<span id="result_box15"><br /></span>- control in technical systems. <span id="result_box17"><br /></span><strong>Abstracting and Indexing:</strong> <strong>The journal is indexed in <a href="https://mjl.clarivate.com/search-results" target="_blank" rel="noopener">Web of Science</a></strong> (WoS) scientometric database. The articles, published in the journal, are abstracted in leading international and national <strong>abstractig journals</strong> and <strong>scientometric databases</strong>, and also are placed to the <strong>digital archives</strong> and <strong>libraries</strong> with free on-line access. <span id="result_box21"><br /></span><strong>Editorial board: </strong><em>Editor in chief</em> - S. A. Subbotin, D. Sc., Professor; <em>Deputy Editor in Chief</em> - D. M. Piza, D. Sc., Professor. The <em>members</em> of Editorial Board are listed <a href="http://ric.zntu.edu.ua/about/editorialTeam" aria-invalid="true">here</a>.<span id="result_box19"><br /></span><strong>Publishing and processing fee:</strong> Articles are published and peer-reviewed <strong>free of charge</strong>.<span id="result_box20"><br /></span><strong> Authors Copyright: </strong>The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions. The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles. The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.<span id="result_box21"><br /></span><strong> Authors Responsibility:</strong> Submitting the article to the journal, authors hereby assume full responsibility for the copyright compliance of other individuals and organizations, the accuracy of citations, data and illustrations, nondisclosure of state and industrial secrets, express their consent to transfer for free to the publisher the right to publish, to translate into foreign languages, to store and to distribute the article materials in any form. Authors who have scientific degrees, submitting the article in the journal, thereby giving their consent to free act as reviewers of other authors articles at the request of the journal editor within the established deadlines. The articles submitted to the journal must be original, new and interesting to the reader audience of the journal, have reasonable motivation and aim, be previously unpublished and not be considered for publication in other journals. Articles should not contain trivial and obvious results, make unwarranted conclusions and repeat conclusions of already published studies.<span id="result_box22"><br /></span><strong> Readership: </strong>scientists, university faculties, postgraduate and graduate students, practical specialists.<span id="result_box23"><br /></span><strong> Publicity and Accessing Method :</strong> <strong>Open Access</strong> on-line for full-text publications<span id="result_box24">.</span></p> <p dir="ltr" align="justify"><strong><span style="font-size: small;"> <img src="http://journals.uran.ua/public/site/images/grechko/1OA1.png" alt="" /> <img src="http://i.creativecommons.org/l/by-sa/4.0/88x31.png" alt="" /></span></strong></p> National University "Zaporizhzhia Polytechnic" en-US Radio Electronics, Computer Science, Control 1607-3274 <h3 align="justify"><span style="font-size: small;">Creative Commons Licensing Notifications in the Copyright Notices</span></h3> <p>The journal allows the authors to hold the copyright without restrictions and to retain publishing rights without restrictions.</p> <p>The journal allows readers to read, download, copy, distribute, print, search, or link to the full texts of its articles.</p> <p>The journal allows to reuse and remixing of its content, in accordance with a Creative Commons license СС BY -SA.</p> <p align="justify"><span style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: small;">Authors who publish with this journal agree to the following terms:</span></p> <ul> <li> <p align="justify"><span style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: small;">Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a href="https://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution License CC BY-SA</a> that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</span></p> </li> <li> <p align="justify"><span style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: small;">Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</span></p> </li> <li> <p align="justify"><span style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: small;">Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.</span></p> </li> </ul> USING THE ANALYTIC HIERARCHY PROCESS WITH FUZZY LOGIC ELEMENTS TO OPTIMIZE THE DATABASE STRUCTURE http://ric.zntu.edu.ua/article/view/259375 <p>Context. Informational systems are very common and use databases to store information that users need. Many different data models can be used but the relational model is still relevant. The last decade show tendency of using distributed databases while working with relational data model and this approach requires a specially designed module to synchronize data of all separate databases. Considering optimizing the database structure, researchers didn’t pay much attention to the potential of users’ SQL-queries history. The optimal structure of all the distributed nodes could reduce the necessity of synchronization while the data access speed and its actuality would remain stable. The object of the research is the process of optimizing the structure of the distributed database of corporate information systems, which are based on the relational database’s model.</p> <p>Objective. The research aims at improving the accuracy of the data representation marker’s value on the distributed corporate information system’s (DCIS) node, obtained using the analytic hierarchy process by applying the fuzzy logic elements while processing the alternatives’ global priority vector.</p> <p>Method. The research’s authors in the set of their previous works emphasize the potential of using the collected history of users’ SQL queries. Firstly presented technology of users’ queries parsing. Then, the idea of using the multidimensional database for analyzing users’ queries by slices of workstation type, application, user, and his/her position was considered. Finally, the authors gave the full-scaled mathematical model for formalizing database and query models, and criteria of database structure’s optimality.<br />The current research continues the given sequence and tries to increase the efficiency of the decision support system, by introducing elements of fuzzy logic to the analytic hierarchy process algorithm. The approach’s main idea is in presenting the global priorities vector in the form of a series of fuzzy sets of one variable with subsequent transformation to the exact value. This approach made it possible to maintain the accuracy of the obtained result while decreasing the number of solution alternatives. For new tuples added to the database’s tables after all calculations had been performed, the problem was formalized. After obtaining the probability of a tuple belonging to the class “needed” and performing the normalization of the value, it is taken as the level of the representation marker. Accordingly, the data is loaded onto the node if this value is greater than the optimal level of the representation marker for the DCIS node.</p> <p>Results. After calculating and obtaining the alternatives global priorities’ vector in order to improve the accuracy of the obtained result, the apparatus of fuzzy sets was used. The obtained vector of global priorities was presented as a vector of fuzzy digits for the data representation marker with subsequent transformation to the exact value. This approach made it possible to maintain the accuracy of the obtained result while decreasing the number of solution alternatives.</p> <p>Conclusions. While working on the research, the concept of a data representation marker on the DCIS node for the elements of the SQL query model was introduced. An aggregation function has been developed that allows determining the level of need for attributes and tuples in the database’s relation for the DCIS node based on the statistics of SQL queries. A model of the dependence of the database structure’s optimality criteria on the value of the data representation marker is built. Received further development method of analytic hierarchy process. The initialization of the alternatives’ pairwise comparisons matrix can be performed automatically according to the obtained mathematical models. Representation of the obtained result in the form of the vector of fuzzy numbers with the reduction to the exact value allows increasing the accuracy of the obtained results. </p> M. L. Dvoretskyi T. O. Savchuk M. T. Fisun S. V. Dvoretska Copyright (c) 2022 M. L. Dvoretskyi, T. O. Savchuk, M. T. Fisun, S. V. Dvoretska https://creativecommons.org/licenses/by-sa/4.0 2022-06-18 2022-06-18 2 101 101 10.15588/1607-3274-2022-2-10 DEVELOPMENT OF METHOD FOR IDENTIFICATION THE COMPUTER SYSTEM STATE BASED ON THE DECISION TREE WITH MULTI-DIMENSIONAL NODES http://ric.zntu.edu.ua/article/view/259438 <p>Context. The problem of identifying the state of a computer system is considered. The object of the research is the process of computer system state identification. The subject of the research is the methods of constructing solutions for computer system state identification.</p> <p>Objective. The purpose of the work is to develop a method for decision trees learning for computer system state identification.</p> <p>Method. A new method for constructing a decision tree is proposed, combining the classical model for constructing a decision tree and the density-based spatial clustering method (DBSCAN). The simulation results showed that the proposed method makes it possible to reduce the number of branches in the decision tree, which will increase the efficiency of identifying the state of the computer system. Belonging to hyperspheres is used as a criterion for decision-making, which enables to increase the identification accuracy due to the nonlinearity of the partition plane and to perform a more optimal adjustment of the classifier. The method is especially effective in the presence of initial data with high correlation coefficients, since it combines them into one or more multivariate criteria. An assessment of the accuracy and efficiency of the developed method for identifying the state of a computer system is carried out.</p> <p>Results. The developed method is implemented in software and researched in solving the problem of identifying the state of the functioning of a computer system.</p> <p>Conclusions. The carried out experiments have confirmed the efficiency of the proposed method, which makes it possible to recommend it for practical use in order to improve the accuracy of identifying the state of a computer system. Prospects for further research may consist in the development of an ensemble of decision trees.</p> S. Y. Gavrylenko V. V. Chelak S. G. Semenov Copyright (c) 2022 С. Ю. Гавриленко, В. В. Челак, С. Г. Семенов https://creativecommons.org/licenses/by-sa/4.0 2022-06-20 2022-06-20 2 113 113 10.15588/1607-3274-2022-2-11 AN EFFICIENT METHOD FOR SOLVING THE PROBLEM OF CHANNEL POWER DISTRIBUTION TAKING INTO ACCOUNT FUZZY CONSTRAINTS ON CONSUMPTION VOLUMES http://ric.zntu.edu.ua/article/view/259462 <p>Context. An efficient algorithm has been developed for solving the problem of rational distribution of the power of data transmission channels with fuzzy restrictions on consumption volumes. A standard solution method based on a fuzzy optimization problem is considered. A constructive variant of finding a solution based on the backtracking method is proposed.</p> <p>Objective. The goal of the work is to develop an algorithm for solving the problem of rational distribution of the power of data transmission channels with fuzzy restrictions on consumption volumes based on the backtracking method.</p> <p>Method. This paper The article proposes a method for solving the problem of rational distribution of the power of data transmission channels, taking into account fuzzy restrictions on consumption volumes. A feature of such tasks is the inability to meet the needs of the end user at the expense of the resources of different suppliers. The method of solution based on fuzzy problems of mathematical programming is considered. A constructive algorithm for solving the problem based on the backtracking method has been developed. Computational experiments have been carried out.</p> <p>Results. The developed method for solving the problem of rational distribution of data transmission channel capacities, taking into account fuzzy restrictions on consumption volumes, made it possible to solve the problem of constructing an optimal configuration of a three-level information and computer network with a given number of communication servers and taking into account fuzzy consumption volumes. </p> <p>Conclusions. Methods for solving the problem with fuzzy restrictions on the consumption volumes of end users are investigated. A fuzzy optimization problem is formulated, which allows taking into account the interval specified volumes for the connection values. A variant of solving fuzzy optimization problems in the case of using fuzzy numbers is proposed. A multi-criteria problem of efficient distribution of communication channel powers with fuzzy restrictions is formulated. A variant of the algorithm with a return is proposed, which allows solving the obtained problem. The approach is illustrated by a number of numerical examples for the problem of forming a network structure with a given number of end users and different allowable bandwidths of communication servers.</p> E. V. Ivohin L. T. Adzhubey V. V. Gavrylenko N. V. Rudoman Copyright (c) 2022 Є. В. Івохін, Л. Т. Аджубей, В. В. Гавриленко, Н. В. Рудоман https://creativecommons.org/licenses/by-sa/4.0 2022-06-21 2022-06-21 2 122 122 10.15588/1607-3274-2022-2-12 MODELING OF IEEE 802.11 COMPUTER NETWORKS OPERATION AT INCREASED INTERFERENCE INTENSITY http://ric.zntu.edu.ua/article/view/259704 <p>Context. High level of industrial noise increases the loss of information frames during transmission, which in turn decreases the network throughput. We propose a mathematical model of IEEE 802.11 networks operation under conditions of increased interference intensity.</p> <p>Objective. The purpose of this paper is to express in an explicit analytical form the effect of bit error rate (BER) on the probability of frame transmission and the network throughput.</p> <p>Method. We have proposed the method for constructing a model that allows you to directly calculate the dependence of the frame transmission probability on the number of stations operating in saturation mode, which is convenient for engineering calculations. The values of the model coefficients were selected by comparing the calculation results with the results obtained using the known Bianchi model, which describes the network operation in the form of a Markov process. In the range of up to 23 stations working with one access point, which corresponds to a collision probability of up to 0.5, the indicated dependences for both models satisfy each other with an accuracy sufficient for the practical application. An expression for the network throughput has been defined.</p> <p>Results. The results of the model development were used to take into account the effect of interference intensity on the information transfer process. This made it possible to explicitly express the effect of BER on the probability of frame transmission and the network throughput in the case of variations in the length of the frames and with a different number of competing stations. The degree of throughput reduction has been determined for BER = 10–5, 5∙10–5, 10–4 and increasing value of minimum contention window.</p> <p>Conclusions. In this work, a mathematical model has been developed for direct calculation of the probability of frame transmission and network throughput at different levels of BER.</p> V. S. Khandetskyi N. V. Karpenko Copyright (c) 2022 В. С. Хандецький, Н. В. Карпенко https://creativecommons.org/licenses/by-sa/4.0 2022-06-23 2022-06-23 2 132 132 10.15588/1607-3274-2022-2-13 MODEL OF THE PROCESS OF GEOSPATIAL MULTI-CRITERIA DECISION ANALYSIS FOR TERRITORIAL PLANNING http://ric.zntu.edu.ua/article/view/260455 <p>Context. The process of multi-criteria decision analysis for territorial planning and rational placement of spatial objects, based on modeling the properties of the territory, is considered.</p> <p>Objective. Development of technology for multi-criteria decision analysis for territorial planning based on the apparatus of the theory of fuzzy sets and functions of geoinformation analysis.</p> <p>Method. An object-spatial approach to the formation of a set of alternatives and criteria is proposed, according to which the process of multicriteria decision analysis is divided into two stages: macro- and microanalysis.The macroanalysis stage involves the assessment of the ecological and socio-economic properties of the territory using geomodeling functions. The paper provides a formalized description of the macroanalysis stage, including methods for assessing the qualitative and quantitative impact of spatial objects on the properties of the territory and decomposing objects into thematic layers of criteria. At the stage of microanalysis, the ranking of alternatives is performed taking into account the chosen decision-making strategy. The method of standardization of criteria attributes using fuzzy set membership functions and the modification of the method for calculating the coefficients of relative importance (weights) of criteria, taking into account the spatial heterogeneity of the preferences of the decision maker, are considered. A comparative analysis of the methods for aggregating the estimates of alternatives according to different criteria has been carried out. A feature of the presented technology of geospatial multi-criteria decision analysis of decisions for territorial planning is the possibility of its integration into modern geographic information systems.</p> <p>Results. The procedure of geospatial multi-criteria decision analysis was implemented in the environment of the geographic information system ESRI ArcGIS 10.5 and was studied in solving the spatial problem of rational location of an enterprise.</p> <p>Conclusions. The proposed object-spatial approach to multi-criteria decision analysis makes it possible to explicitly take into account the spatial heterogeneity of geographic data, which is the result of the influence of geographic objects on the properties of the territory. The developed technology can be used to solve a wide range of problems related to determining the most rational placement of various capital construction and infrastructure facilities.</p> S. D. Kuznichenko Copyright (c) 2022 С. Д. Кузніченко https://creativecommons.org/licenses/by-sa/4.0 2022-06-30 2022-06-30 2 140 140 10.15588/1607-3274-2022-2-14 ALGORITHMS AND ARCHITECTURE OF THE SOFTWARE SYSTEM OF AUTOMATED NATURAL AND ANTHROPOGENIC LANDSCAPE GENERATION http://ric.zntu.edu.ua/article/view/260519 <p>Context. The problem of automation of the generation of natural and anthropogenic landscapes is considered. The subject of the research is methods of procedural generation of landscapes that quickly and realistically visualize natural and anthropogenic objects taking into account different levels of detail. </p> <p>Objective. The goal of the work is to improve the rendering quality and efficiency of the procedural generation process of landscape surfaces at any level of detail based on the implementation of the developed method.</p> <p>Method. The proposed method of visualization involves the construction of a natural landscape using Bezier curves and surfaces and manual editing of individual segments; use of software agents that are responsible for individual steps of generating anthropogenic objects; adaptation of anthropogenic objects to the characteristics of natural landscapes; containerization of three-dimensional objects, which is used in various steps to organize the storage and loading of objects efficiently. A generated heightmap based on the Perlin noise algorithm is used to construct surfaces on individual segments of the natural landscape. Landscape processing software agents are used to unify the design of algorithms for creating and processing information about anthropogenic objects. Correct application operation and error resistance is guaranteed due to the inheritance of a specific interface by all implementations of agents. Containerization with two-level caching ensures the efficiency of display detailing. </p> <p>Results. The developed method is implemented programmatically, and its efficiency is investigated for different variants of input data, which to the greatest extent determine the complexity of visualization objects. </p> <p>Conclusions. The conducted experiments confirmed the efficiency of the proposed algorithmic software and its viability in practice in solving problems of automated landscape generation. Prospects for further research include improvement and expansion of the algorithms for procedural landscape generation, functionality complication of manual visualized object processing, and division of individual objects into separate hierarchies of containers.</p> Ye. V. Levus M. Yu. Morozov R. О. Moravskyi P. Ya. Pustelnyk Copyright (c) 2022 Є. В. Левус, М. Ю. Морозов, Р. О. Моравський, П. Я. Пустельник https://creativecommons.org/licenses/by-sa/4.0 2022-07-01 2022-07-01 2 154 154 10.15588/1607-3274-2022-2-15 EFFECTIVENESS OF STEGO IMAGE CALIBRATION VIA FEATURE VECTORS RE-PROJECTION INTO HIGH-DIMENSIONAL SPACES http://ric.zntu.edu.ua/article/view/260539 <p>Context. The topical problem of sensitive information protection during data transmission in local and global communication systems was considered. The case of detection of stego images formed according to novel steganographic (embedding) methods was analyzed. The object of research is special methods of stego images features pre-processing (calibration) that are used for improving detection accuracy of modern statistical stegdetectors.</p> <p>Objective. The purpose of the work is performance analysis of applying special types of image calibration methods, namely divergent reference techniques, for revealing stego images formed according to adaptive embedding methods.</p> <p>Method. The considered divergent reference methods are aimed at search an appropriate transformation for cover and stego images features that allows increasing Euclidean distance between them. This can be achieved by re-projection of estimated features into a high-dimensional space where cover and stego features may have higher inter-cluster distances. The work is devoted to analysis of such methods, namely by applying the inverse Fast Johnson-Lindenstrauss transform for estimation preimages of cover and stego images features. The transform allows considerably decreasing computation complexity of features calibration procedure while providing a fixed level of relative positions changes for cover and stego images features vectors, which is of particular interest in steganalysis.</p> <p>Results. The dependencies of detection accuracy, namely Matthews correlation coefficient, on cover image payload and dimensionality of estimated preimages for feature vector were obtained. The case of usage state-of-the-art HUGO, S-UNIWARD, MG and MiPOD embedding methods for message hiding into a cover image was considered. Also, the variants of stego image features preprocessing by full access to stego encoder for a steganalytic as well as limited a prior information about used embedding method were analyzed. </p> <p>Conclusions. The obtained experimental results proved effectiveness of proposed approach in the most difficult case of limited a prior information about used embedding method and low cover image payload (less than 10%). The prospects for further research may include investigation of applying special methods for features preimages estimation in a high-dimensional space for improving detection accuracy for advanced embedding methods.</p> D. O. Progonov Copyright (c) 2022 D. O. Progonov https://creativecommons.org/licenses/by-sa/4.0 2022-07-01 2022-07-01 2 165 165 10.15588/1607-3274-2022-2-16 TOOLS FOR SELECTING A SOFTWARE DEVELOPMENT METHODOLOGY TAKING INTO ACCOUNT PROJECT CHARACTERISTICS http://ric.zntu.edu.ua/article/view/260588 <p>Context. In the software development process, the choice of a software development methodology is one of the important stages that significantly affects the success/failure of the project. The choice of the optimal development methodology depends on many factors and is a time-consuming and nontrivial task. </p> <p>Objective. Therefore, there is a need to develop an effective and flexible software tool for selecting the best software development methodology that would automate this process and take into account the key characteristics of the project. </p> <p>Method. This article presents an algorithm for selecting a software development methodology using methods of multi-criteria analysis and expert evaluation, which provides for gathering of the expert evaluation and implements the process of selecting the methodology using such methods as AHP, TOPSIS and Weighted Sum.</p> <p>Results. Using the above-mentioned algorithm, a software system was developed for selecting the best software development methodology depending on the characteristics of the project, where the criteria weights provided by experts were taken into account and the AHP method was applied to determine user priorities regarding the criteria for the methodology comparison. The TOPSIS and Weighted Sum method were chosen to calculate the estimates of the methodology selection. The software tool provides for the output of useful details of the selection results, namely, an expert evaluation of the specified parameter values in relation to all methodologies, and it can be used to improve the efficiency of the software development process in terms of automating the provision of recommendations to IT project managers. </p> <p>Conclusions. The algorithm for selecting a software development methodology was developed, which, unlike the existing ones, provided for gathering of expert evaluation, taking into account the values of the criteria set by a user independently, and implemented the process of selecting the methodologies using such methods of multi-criteria analysis as AHP, TOPSIS and weighted sum. Using the above algorithm, a software system was developed for selecting the best software development methodology, depending on the characteristics of the project, where the criteria weights provided by experts were taken into account, and the AHP method was applied to determine user priorities for methodology comparison criteria. TOPSIS and weighted sum methods and were chosen to calculate the scores of methodology choice. The software tool provides for the output of useful details about the selection results, namely, an expert evaluation of the set parameter values regarding all methodologies.</p> M. M. Seniv А. М. Kovtoniuk V. S. Yakovyna Copyright (c) 2022 M. M. Seniv, А. М. Kovtoniuk, V. S. Yakovyna https://creativecommons.org/licenses/by-sa/4.0 2022-07-02 2022-07-02 2 175 175 10.15588/1607-3274-2022-2-17 INFORMATION-EXTREME MACHINE TRAINING SYSTEM OF FUNCTIONAL DIAGNOSIS SYSTEM WITH HIERARCHICAL DATA STRUCTURE http://ric.zntu.edu.ua/article/view/260591 <p>Context. The problem of information-extreme machine learning of the functional diagnosis system is considered by the example of recognizing the technical state of a laser printer by typical defects of the printed material. The object of the research is the process of hierarchical machine learning of the functional diagnosis system of an electromechanical device.</p> <p>Objective. The main objective is to improve the functional efficiency of machine learning during functional diagnostics system retraining using automatically forming a new hierarchical data structure for an expanded alphabet of recognition classes.</p> <p>Method. A method of information-extreme hierarchical machine learning of the system of functional diagnosis of a laser printer based on typical defects of the printed material is proposed. The method was developed with functional approach of modeling the cognitive processes of natural intelligence, which makes it possible to give the diagnostic system the properties of adaptability under arbitrary initial conditions for the formation of images of printing defects and flexibility during retraining of the system due to an increase in the power of the alphabet of recognition classes. The method is based on the principle of maximizing the amount of information in the process of machine learning. The process of information-extreme machine learning is considered as an iterative procedure for optimizing the parameters of the functioning of the functional diagnostics system according to the information criterion. As a criterion for optimizing machine learning parameters, a modified Kullback’s information measure is considered, which is a functional of the exact characteristics of classification solutions. According to the proposed categorical functional model, an information-extreme machine learning algorithm has been developed based on a hierarchical data structure in the form of a binary decomposition tree. The use of such a data structure makes it possible to split a large number of recognition classes into pairs of nearest neighbors, for which the optimization of machine learning parameters is carried out according to a linear algorithm of the required depth.</p> <p>Results. Information, algorithmic software for the system of functional diagnostics of a laser printer based on images of typical defects in printed material has been developed. The influence of machine learning parameters on the functional efficiency of the system of functional diagnostics of a laser printer based on images of defects in printed material has been investigated.</p> <p>Conclusions. The results of physical modeling have confirmed the efficiency of the proposed method of information-extreme machine learning of the system of functional diagnosis of a laser printer based on typical defects in printed material and can be recommended for practical use. The prospect of increasing the functional efficiency of information-extremal learning of the functional diagnostics system is to increase the depth of machine learning by optimizing additional parameters of the system’s functions, including the parameters of the formation of the input training matrix.</p> I. V. Shelehov N. L. Barchenko D. V. Prylepa M. V. Bibyk Copyright (c) 2022 I. V. Shelehov, N. L. Barchenko, D. V. Prylepa, M. V. Bibyk https://creativecommons.org/licenses/by-sa/4.0 2022-07-02 2022-07-02 2 189 189 10.15588/1607-3274-2022-18 TECHNOLOGY FOR PERSONALITIES SOCIALIZATION BY COMMON INTERESTS BASED ON MACHINE LEARNING METHODS AND SEO-TECHNOLOGIES http://ric.zntu.edu.ua/article/view/259350 <p>Context. The socialization of individuals with common interests is caused by the need of most people to simplify some of the moments of life by reducing the time for their implementation. With the rapid growth of information, the human workload in society and the recent epidemics of the world, people are becoming isolated from the opportunity to communicate. And this is one of the important needs of human consciousness and self-realization. Therefore, there is an urgent need to be able to obtain a recommended list of similar people of common interest as a result of intelligent search of many relevant users of social networks through analysis of human faces in user photos (based on neural networks) and analysis of user information based on fuzzy search algorithms and Noisy model. Channel).</p> <p>Objective of the study is to develop technology for socialization of individuals based on SEO-technology and machine learning through the use of convolutional and Siamese neural networks to identify users and text analysis algorithms to select relevant users of future communication.</p> <p>Method. In the implementation of SEO-technologies selected fuzzy word search algorithms based on the Noisy Channel model algorithms for efficient distribution of textual information. During the implementation of machine learning, a convolutional neural network was developed to identify users of the system.</p> <p>Results. An intelligent system of socialization of individuals by common interests based on SEO-technology and machine learning methods has been developed. The work of two neural networks was implemented: convolutional and Siamese, which allowed to search for a human face in photos uploaded by the user and compare the found face with those already available in the database / Internet. This makes it possible to effectively identify the authenticity of the user and ensure that this user is not currently in the database, so it is potentially real. Using fuzzy search algorithms, Levenstein’s algorithm and the Noisy Channel model, an algorithm for analyzing and comparing user information was created, which for the current user forms a list of available users of the system, sorted by descending percentage of similarity and indicates how other users’ interests coincide.</p> <p>Conclusions. It was found that the algorithm implemented in the system for forming a sample of users is more efficient and accurate by about 25–30% compared to the usual Levenstein algorithm. Also, the implemented algorithm performs sampling approximately 10 times faster than the usual Levenstein algorithm.</p> T. Batiuk V. Vysotska Copyright (c) 2022 T. M. Батюк, В. А. Висоцька https://creativecommons.org/licenses/by-sa/4.0 2022-06-18 2022-06-18 2 53 53 10.15588/1607-3274-2022-2-6 NEURAL NETWORK DIAGNOSTICS OF AIRCRAFT PARTS BASED ON THE RESULTS OF OPERATIONAL PROCESSES http://ric.zntu.edu.ua/article/view/259360 <p>Context. The problem of synthesis of an optimal neural network model for diagnostics of aircraft parts after operational processes is considered. The object of the study is the process of synthesis of neural network diagnostic models for aircraft parts based on the results of operational processes </p> <p>Objective is to synthesize neural network diagnostic models of aircraft parts after operational processes with a high level of accuracy. </p> <p>Method. It is proposed to research the use of two approaches to the synthesis of neural network diagnostic models. So, using a system of indicators, the topology of the neural network is calculated, which will be trained using the method of Backpropagation method in the future. The second approach is based on the use of a neuroevolutionary approach, which allows for a complete synthesis of the neural network, dynamically modifying the topology of the solution in addition to the parameters. the final decisions are compared in the accuracy of work on the training and test data set. This approach will allow to determine the possibility and correctness of using neuroevolutionary methods for the synthesis of diagnostic models. </p> <p>Results. Neuromodels for diagnostics of aircraft parts based on the results of operational processes have been obtained. The obtained results of comparing the methods used for synthesis made it possible to form recommendations for the implementation of neuroevolutionary methods in the synthesis of diagnostic neuromodels. </p> <p>Conclusions. The results obtained during the experiments confirmed the operability of the mathematical software used and allowed us to form recommendations for further use of the considered methods in practice in order to synthesize diagnostic neuromodels. The prospects for further research may consist in expanding the input data sets in order to synthesize and study more complex topologies of neural network models.</p> S. D. Leoshchenko H. V. Pukhalska S. A. Subbotin A. O. Oliinyk Ye. O. Gofman Copyright (c) 2022 S. D. Leoshchenko, H. V. Pukhalska, S. A. Subbotin, A. O. Oliinyk, Ye. O. Gofman https://creativecommons.org/licenses/by-sa/4.0 2022-06-18 2022-06-18 2 69 69 10.15588/1607-3274-2022-2-7 AUTOMATIC CLASSIFICATION OF PAINTINGS BY YEAR OF CREATION http://ric.zntu.edu.ua/article/view/259366 <p>Context. The problem of automatic verification of the legitimacy of the export of works of art is considered.</p> <p>Objective. A method is proposed for automatically determining the age of a painting from a digital photograph using a classification that is performed by an intelligent decision-making system.</p> <p>Method. It is proposed to use the attribute of picture year of creation as the main criterion for making a decision during the customs check of exports legitimacy. Instead of a long and expensive museum examination, photographing works of art in customs conditions and processing photos using a set of descriptors is used. The set of descriptors is proposed, include local binary patterns, their color modification, Haralik’s texture features, the first four moments, Tamura’s texturt features, SIFT descriptor. The data obtained as a result of descriptors action give the values of several dozen private attributes. They form data vectors, which are then concatenated into a generalized object description vector. In the feature space thus created, automatic classification by weighted k-nearest neighbors is performed. The proposed algorithm calculates the distance between objects in a multidimensional space of attribute values and assigns new objects to already formed classes. The criterion for creating classes is the age of the painting from the existing database. As a measure of the objects proximity, it is proposed to use the Euclid and Minkowski metrics. The calculation of weights for the proposed classification algorithm is performed by the Fisher method.</p> <p>Results. The effectiveness of the proposed method was investigated in the course of experiments with an image database containing photos of paintings by world, European and Ukrainian artists. Algorithm configuration parameters that provide high classification accuracy are found. </p> <p>Conclusions. The performed experiments have shown the effectiveness of the selected descriptors for the formation of vector descriptions of images of paintings. The greatest accuracy is provided by descriptor merging, which reveals significant differences in the structural properties of images. This approach to the description of objects in combination with the proposed classification algorithm and the chosen main criterion ensures high accuracy of the obtained solutions. The direction of further research may include the use of convolutional neural networks to improve the accuracy of classification under the condition of a static database.</p> A. A. Martynenko A. D. Tevyashev N. E. Kulishova B. I. Moroz A. S. Sergienko Copyright (c) 2022 A. A. Martynenko, A. D. Tevyashev, N. E. Kulishova, B. I. Moroz, A. S. Sergienko https://creativecommons.org/licenses/by-sa/4.0 2022-06-18 2022-06-18 2 80 80 10.15588/1607-3274-2022-2-8 PROTOTYPING SMART HOME FOR IMMOBILIZED PEOPLE: EEG/MQTT-BASED BRAIN-TO-THING COMMUNICATION http://ric.zntu.edu.ua/article/view/259372 <p>Context. Immobilized people face additional barriers in almost all areas of life, including simple operations like turning the light on/off and controlling the air conditioner. The object of the study was to develop the brain-to-thin communication of affordable priceto control the smart home appliances by immobilized people from neck to toes.</p> <p>Objective. The goal of the work is to manage smart home appliances via brain-to-thing communication with EEG non-invasive electrodes, edge IoT devices, and MQTT protocol if the brain and eye control of the disabled work normally.</p> <p>Method. A non-invasive Sichiray TGAM brainwave EEG sensor kit captures signals and then transmit them via Bluetooth to the HC-05 module connected to the Arduino Mega microcontroller. Information about edge IoT devices is presented to the disabled on the LCD 1602 display wired to the same Arduino Mega. The disabled person chooses the option shown on display via the double blink that is detected if the quality of signal equals zero and low/mid gamma waves are less than ten in three consecutive Bluetooth packets. Control commands are sent from Arduino Mega (MQTT publisher) to the edge IoT devices (MQTT subscribers) that analyze them and start a specific operation like opening a door and turning the alarm on/off.</p> <p>Results. Five females and five males of different ages from 8 to 59 years old examined the control of smart home appliances with the Sichiray TGAM brainwave sensor kit. Everyone successfully handled the Sichiray headset and showed satisfaction with the brain-to-thing system.</p> <p>Conclusions. In this work, a smart home concept for immobilized people was developed using the brain-to-thing approach and the MQTT communication between the MQTT publisher, Sichiray TGAM brainwave EEG sensor kit connected via Bluetooth to the Arduino Mega microcontroller, and edge IoT devices total priced at USD 150. The most likely prospect of the presented work is to produce the sample that is ready to market.</p> D. A. Zubov M. S. Qureshi U. Köse A. I. Kupin Copyright (c) 2022 D. A. Zubov, M. S. Qureshi, U. Köse, A. I. Kupin https://creativecommons.org/licenses/by-sa/4.0 2022-06-18 2022-06-18 2 90 90 10.15588/1607-3274-2022-2-9 THE STATES’ FINAL PROBABILITIES ANALYTICAL DESCRIPTION IN AN INCOMPLETELY ACCESSIBLE QUEUING SYSTEM WITH REFUSALS http://ric.zntu.edu.ua/article/view/259280 <p>Context. There is a problem of forecasting the efficiency of real queuing systems with refusals in the case of incomplete accessibility of service devices for the input flow of requirements. The solution of problem is necessary to create the possibility of more accurate design and control of such systems operation in real time.</p> <p>Objective. The aim of the research is to obtain an analytical description of the state’s final probabilities in a Markov queuing system with refusals and with incomplete accessibility of service devices for the input flow of requirements that is necessary to forecast the values of the queuing system performance indicators.</p> <p>Method. The probabilities of queuing systems’ states with refusals in the case of incomplete accessibility of service devices for the input flow of requirements are described by Kolmogorov differential equations. In a stationary state, these equations are transformed into a linearly dependent homogeneous system of algebraic equations. The number of equations is determined by the setdegree and for modern queuing and communication systems can be in the thousands, millions and more. Therefore, an attempt to predict the efficiency of a system is faced with the need to write down and numerically solve a countable set of algebraic equations systems that is quite difficult.</p> <p>The key idea of the proposed method for finding an analytical description of final probabilities for a given queuing system was the desire to move from the description of individual states (of 2n amount) to the description of groups of system states (of n+1 number) and to localize the influence of incomplete accessibility of service devices for the input flow of requirements in multiplicative functions of incomplete accessibility. Such functions allow obtaining the required analytical description and assessing the degree of the final probabilities transformation, in comparison with known systems, as well as assessing the forecasted values of the noted queuing system’s efficiency indicators when building a system and choosing the parameters for its controlling.</p> <p>Results. For the first time analytical expressions are obtained for the final probabilities of the queuing system states with refusals and with incomplete accessibility of service devices for the input flow of requirements, which makes it possible to evaluate as well as forecast values of all known system efficiency indicators.</p> <p>Conclusions. The resulting description turned out to be a general case for well-known type of Markov queuing systems with refusals. The results of the numerical experiment testify in favor of correctness the obtained analytical expressions for the final probabilities and in favor of possibility for their practical application in real queuing systems when solving problems of forecasting efficiency, as well as analyzing and synthesizing the parameters of real queuing systems.</p> V. P. Gorodnov V. V. Ovcharenko Copyright (c) 2022 V. P. Gorodnov, V. V. Ovcharenko https://creativecommons.org/licenses/by-sa/4.0 2022-06-17 2022-06-17 2 32 32 10.15588/1607-3274-2022-2-4 MODELING RISK FACTORS INTERACTION AND RISK ESTIMATION WITH COPULAS http://ric.zntu.edu.ua/article/view/259311 <p>Context. Various risks are inherent to practically all types of human activities. Usually the risks are characterized by availability of multiple risk factors, uncertainties, incompleteness and low quality of data available. The problem of mathematical modeling of risks is very popular with taking into consideration possible uncertainties and interaction of risk factors. Such models are required for solving the problems of loss forecasting and making appropriate managerial decisions.</p> <p>Objective. The purpose of the study is in development of multivariate risk modeling method using specialized copula functions.The models are developed in the form of multivariate distributions.</p> <p>Method. The modeling methodology is based upon exploring the special features of various copula functions that are helpful to construct appropriate multivariate distributions for the risk factors selected. The study contains formal description of selected copulas, analysis of their specific features and possibilities for practical applications in the risk management area. Examples of practical applications of the copula based approach to constructing multivariate distributions using generated and actual statistical data are provided.</p> <p>Results. The results achieved will be useful for further theoretical studies as well as for practical applications in the area of risk management. The distributions constructed with copula create a ground for solving the problems of forecasting possible loss and making appropriate decision regarding risk management.</p> <p>Conclusions. Thus the problem of constructing multivariate distributions for multiple risk factors can be solved successfully using special copula functions.</p> N. V. Kuznietsova V. H. Huskova P. I. Bidyuk Y. Matsuki L. B. Levenchuk Copyright (c) 2022 Н. В. Кузнецова, В. Г. Гуськова, П. И. Бидюк, Й. Мацуки, Л. Б. Левенчук https://creativecommons.org/licenses/by-sa/4.0 2022-06-17 2022-06-17 2 43 43 10.15588/1607-3274-2022-2-5 FREQUENCY FEATURES OF THE NUMERICAL METHOD SAMPLING OF DIGITAL CONTROL SYSTEMS http://ric.zntu.edu.ua/article/view/260597 <p>Context. The studies of the frequency properties of the explicit multistep numerical integrators which use for sampling of continuous transfer function in the digital control systems, are conducted in this article. Numerical integrators in such systems implement as an integral parts of the digital regulators.</p> <p>Objective. The goal of this research is an analysis of the behavior of explicit numerical integrators of different orders, which areused to discretize continuous systems, in order to study their impact on the properties of the synthesized digital system.</p> <p>Method. Numerical methods of integration are considered as digital filters, the behavior of which is studied by the frequency characteristics method. To do this, the z-transform apparatus was used. Integrators’ discrete transfer functions were found for frequency analysis using the Control Systems Toolbox package of the mathematical application MATLAB. For further analysis, two closed feedback test structures were used: with integrators in the forward channel and in the feedback loop. Both variants of structures were studied by the frequency characteristics method for sampling using numerical integrators of 1st–6th orders.</p> <p>Results. The inefficiency of using high-order numerical integrators for continuous systems’ discretization is shown. Given the behavior of the frequency characteristics of test systems, the most rational is the use of low-order integrators, namely – the first and second orders. Establishing the cause of this phenomenon requires additional research, in particular, to identify the possible impact of additional zeros and poles of discrete transfer functions of the numerical integrators.</p> <p>Conclusions. The use of low-order integrators, namely the first and second orders, is the most rational for sampling of digital control systems and the inefficiency of using high-order numerical integrators to sample continuous systems is proven.</p> V. I. Moroz A. B. Vakarchuk Copyright (c) 2022 V. I. Moroz, A. B. Vakarchuk https://creativecommons.org/licenses/by-sa/4.0 2022-07-02 2022-07-02 2 201 201 10.15588/1607-3274-2022-2-19 SYNTHESIS OF THE ALGORITHM FOR THE FLOW PARAMETERS OPTIMAL CONTROL OF THE REVERSIBLE CONVEYOR http://ric.zntu.edu.ua/article/view/260649 <p>Context. The problem of optimal control of flow parameters of a conveyor-type transport system containing sections with reversible conveyors is considered. The object of the stady was an analytical model of a reversible transport conveyor for synthesizing an algorithm for optimal control of the flow parameters of a reversible transport conveyor.</p> <p>Objective. The goal of the work is to develop a synthesis technique for an algorithm for optimal control of the flow parameters of a reversible transport conveyor based on an analytical model of a conveyor section containing a transport delay.</p> <p>Method. An analytical model of a reversible conveyor has been developed for the case of a constant speed of a conveyor belt, which makes it possible to determine the values of the output flows from the reverse section with known values of material flows coming to the input of the conveyor section. To build a model of the reversible section of the conveyor, an analytical model of the section of the conveyor in partial derivatives, containing the transport delay, was used. When constructing the model, the assumption was made about the instantaneous switching of the direction of movement of the conveyor belt, and it is also assumed that the interval between switching the direction of the belt speed exceeds the values of the transport delay for the conveyor section. To synthesize an algorithm for optimal control of the reversible conveyor, a control quality criterion was introduced. The formulation of the problem of optimal control of the flow parameters of the reversible conveyor is given, based on the Pontryagin maximum principle. The Hamilton function for the controlled system is written, taking into account the criterion of the quality of control of the reversible conveyor. A technique for synthesizing an algorithm for optimal control of the material output flow of a section of a reversible conveyor is demonstrated. The conditions for switching the direction of the speed of the conveyor belt are determined.</p> <p>Results. The developed model of the reversible conveyor section is used to synthesize an algorithm for optimal control of the material output flow of the reversible conveyor section.</p> <p>Conclusions. A method for the synthesis of algorithms for optimal control of the flow parameters of a transport system with sections containing reversible conveyors has been developed. The construction of an analytical model opens up new perspectives for the design of transport conveyor control algorithms, which can be used to reduce the specific energy costs for material transportation in the mining industry.</p> O. M. Pihnastyi O. V. Ivanovska M. O. Sobol Copyright (c) 2022 O. M. Pihnastyi, O. V. Ivanovska, M. O. Sobol https://creativecommons.org/licenses/by-sa/4.0 2022-07-04 2022-07-04 2 210 210 10.15588/1607-3274-2022-2-20 DETERMINATION OF THE TRANSMISSION LINE RESISTANCE MATRIX WITH DEVIATIONS OF DESIGN PARAMETERS FROM NOMINAL http://ric.zntu.edu.ua/article/view/259186 <p>Context. UHF transmission systems make extensive use of transmission line segments, the characteristics of which have a significant impact on the performance of various information technologies. One of the problems of production of transmission lines is to obtain a given wave impedance, which significantly affects the electrical and information characteristics of the entire set of equipment. Currently, there is a burning issue of estimating the influence of disturbing factors on various electrical characteristics of long line segments. To date, the most fully developed methods for assessing the effect of disturbing factors on the wave impedance of a homogeneous line (the wave impedance is constant) under regular perturbations. In this case, the influence of perturbations on the reflection coefficient of matched lines was mainly considered. The effect of perturbations on the other characteristics of homogeneous and, especially, inhomogeneous lines has not been sufficiently studie</p> <p>Objective. The purpose of this paper is to determine the effect of wave impedance perturbations on the transmission line impedance matrix. Knowing the perturbed impedance matrix, it is possible to determine the distortion of the characteristics of any device built on transmission line segments. </p> <p>Method. The paper uses the method of perturbation theory of linear differential operators applied to equations describing processes in inhomogeneous long lines.</p> <p>Results. The obtained results make it possible to estimate the influence of regular and irregular perturbations of the wave resistance (wave conductance) on the transmission line matrix considered as a quadrupole. Such matrix can be any quadrupole matrix: resistance matrix, conductance matrix, circuit matrix. This makes it possible, according to the desired function of the circuit (gain, input impedance, reflection coefficient), to determine the allowable deviation of the wave impedance from the nominal value in order to select a tolerance for reproducing the wave impedance. </p> <p>Conclusions. The proposed criterion for estimating line parameter deviations using the norm of the four-pole matrix is inherently an integral criterion and can be used to preliminarily estimate the frequency domain of the strongest distortions, regardless of the functional purpose of the transmission line segment. The developed approach is applicable to both homogeneous and heterogeneous transmission lines and covers both regular and irregular wave impedance perturbations.</p> V. V. Kozlovskyi V. V. Kozlovskyi R. V. Khrashchevskyi V. V. Klobukov Copyright (c) 2022 В. В. Козловський, В. В. Козловський, Р. В. Хращевський, В. В. Клобуков https://creativecommons.org/licenses/by-sa/4.0 2022-06-16 2022-06-16 2 7 7 10.15588/1607-3274-2022-2-1 THE STUDY OF THE CROSS-CORRELATION PROPERTIES OF COMPLEX SIGNALS ENSEMBLES OBTAINED BY FILTERED FREQUENCY ELEMENTS PERMUTATIONS http://ric.zntu.edu.ua/article/view/259215 <p>Context. The relevance is to study the cross-correlation properties of the developed complex signals ensembles of large volume with a low level of multiple access interference, thereby increasing the efficiency of using a limited radio frequency range. The Object of Research is a method of bandpass filtering with permutations, which allows forming complex signals ensembles of large volume.</p> <p>Objective. The Objective is to determine the optimal cross-correlation properties for the formation of complex signals ensembles of large volume with a low level of multiple access interference.</p> <p>Method. The work has the study results of cross-correlation properties of complex signals ensembles obtained by applying the filtered elements permutation method. The formation of complex signals ensembles is based on pseudo-random sequences with improved cross-correlation properties in the time domain. Bandpass filtering is applied to such sequences, and the number of filter bands is determined based on the calculation of the frequency spectrum utilization coefficient. The filter band optimal width determination is based on a comparison of the maximum emissions of the side lobes values of the of cross-correlation function of signals from the elements number in the involved sequences. The signals obtained by frequency bands allocating are characterized by a difference in form in the minimal similarity condition. In order to reduce the multiple access interference impact, the frequency components transfer obtained by spectral filtering to the common frequency range is carried out. After that, the signals are transferred using the full search method. As a result, it was obtained all possible combinations of signal pairs permutations. The use of permutations in the complex signals ensemble formation can significantly increase the ensemble volume. The signals generated by frequency filtering, to which the transfer to the common frequency band and their subsequent permutation was applied, are subjected to correlation analysis based on the calculation of the maximum emissions values of the side lobes of the cross-correlation function.</p> <p>Comparative characteristic of cross-correlation properties of developed signals with known signals prove that signals generated based on pseudo-random sequences with improved cross-correlation properties have a much larger ensembles volume, are formed on the basis of simple algorithms that don’t require significant computing resources and have satisfactory cross-correlation characteristics. The use of bandpass filtering method with permutation allows the formation of large-volume ensembles whose signals differ inform, and the combination of different frequency bands reduces the vulnerability to multiple access interference.</p> <p>Results. Due to the software implementation of the bandpass filtering method with permutations, the comparison of crosscorrelation properties of nonlinear sequences, M-sequences, multiphase signals and developed signals based on sequences with improved cross-correlation properties was performed.</p> <p>In estimating the levels of maximum emissions of side lobes of the cross-correlation function, it was found that the generated signals obtained by bandpass filtering with permutations deteriorate cross-correlation characteristics by increasing the pulse duration proportional to the decrease in signal frequency band, but their value satisfies the minimal similarity condition, used in cognitive telecommunications systems.</p> <p>Conclusions. The study of the signals cross-correlation properties proves the effectiveness of the developed bandpass filtering with permutations method. The generated signals have cross-correlated characteristics no worse than ensembles based on known signals. At this level of maximum emissions of the side lobes of the cross-correlation function of the developed signals is 7–12% less than the known signals. Thus, the method of bandpass filtering with permutations can be used to increase the efficiency of radio frequency resource use of both existing and advanced cognitive telecommunication networks of wireless access based on systems with code division multiplexing.</p> V. P. Lysechko D. O. Kulagin S. V. Indyk О. S. Zhuchenko І. V. Kovtun Copyright (c) 2022 В. П. Лысечко, Д. А. Кулагин, С. В. Индык, А. С. Жученко, И. В. Ковтун https://creativecommons.org/licenses/by-sa/4.0 2022-06-16 2022-06-16 2 15 15 10.15588/1607-3274-2022-2-2 METHOD FOR SPATIAL POLARIZATION COMPENSATION OF JAMMING http://ric.zntu.edu.ua/article/view/259274 <p>Context. To protect radars from active noise interference (jamming) acting along the side lobes of the antenna pattern, spatial signal filtering is used, which is realized by using diversity reception of the useful signal and interference. In this case, the difference in the directions of interference and signal makes it possible to compensate for interference and detect a useful signal. However, in the case where the source of interference is in the main lobe, the differences between the desired signal and the interference are reduced. This leads to significant distortion of the antenna main lobe pattern. As a result, the accuracy of angular coordinates measurement deteriorates, as well as the sensitivity of the receiving radar device. The article proposes a new method for spatial polarization processing of radar signals, which provides compensation for active noise interference both as from the directions of the side lobes and from the direction of the main beam of the antenna pattern.</p> <p>Objective. The goal is to develop a method for spatial polarization processing of radar signals under the influence of active noise interference both along the side lobes of the antenna pattern and along the main lobe.</p> <p>Method. The method is implemented by using structural adaptation of the noise protection device, depending on the direction of the interference. In this case, the control signal for structural adaptation is formed according to the magnitude of the current spatial filter weighting coefficient value.</p> <p>Results. A block diagram of a spatial polarizing filter which provides compensation for active noise interference acting both on <br />the side lobes and on the main lobe of the radar antenna pattern. The mathematical model of the compensation unit that implements the structural adaptation of the spatial polarization filter has been developed. Under the conditions of the first special polarization basis, the efficiency of noise suppression acting along the main lobe of the antenna pattern is estimated.</p> <p>Conclusions. The scientific novelty of the research is the development of a new method of spatial polarization processing of radar signals under difficult conditions of radar operation under massive active noise interference.</p> <p>The practical significance of the research is in the development of a block diagram of a spatial polarizing filter that provides compensation for interference both from the direction of the side lobes and from the direction of the main lobe of the antenna pattern. The mathematical model of the filter has been developed. The efficiency of noise suppression under the conditions of the first special polarization basis is estimated.</p> D. M. Piza G. V. Moroz Copyright (c) 2022 Д. М. Пиза, Г. В. Мороз https://creativecommons.org/licenses/by-sa/4.0 2022-07-05 2022-07-05 2 24 24 10.15588/1607-3274-2022-2-3