No. 6 (2023)

Published: 2023-12-29

SECTION I. INFORMATION PROCESSING ALGORITHMS

  • INTEGRATION OF LOCAL AND GLOBAL SCHEDULER INTO A MOBILE ROBOT CONTROL SYSTEM

    D.O. Brosalin, B.V. Gurenko, М. Y. Medvedev
    Abstract

    This paper investigates the problem of integrating local and global motion planning methods
    in a robot control system. The current level of technological development allows mobile robots
    not only to follow predetermined coordinates, but also to make real-time decisions independently
    of the operator, reacting to changes in the environment. However, the dynamic nature of the environment and the constraints on planning time, as well as the high speeds of mobile robots, complicate
    the problems solved by planning algorithms. In this paper, some motion planning methods
    based on cellular decomposition (such as A*, D* and Wavefront) and random search procedures
    on graphs (such as fast growing random RRT trees and probabilistic roadmaps PRM) integrated
    with a motion trajectory prediction algorithm (DWA) are reviewed. A study of the performance
    characteristics of each of the above algorithms has been conducted, as well as a series of numerical
    and in-situ experiments to analyze the effect of map topology on the execution time and
    memory usage of the algorithms. The effect of the speed of local and global planning under different
    configurations of the external environment was investigated. To confirm the effectiveness of the
    investigated algorithms in real conditions, software for a mobile robot based on a wheeled chassis
    has been created. The paper presents structural and functional schemes of interaction between the
    implemented modules of planning and motion control of the mobile robot and the environment.
    It also presents a mathematical model of a wheeled platform, for which, based on the considered
    methods, motion planning algorithms are developed. In this paper, quantitative measures including
    the computation time of the motion planning algorithm and the amount of memory used by the
    algorithms under different environment maps are evaluated. Both environments with randomly
    placed obstacles and different types of mazes are considered. The implementation of the developed
    algorithms in the ROS-2 environment is also described. It is shown that the implemented system
    provides real-time control and motion planning of the mobile robot.

  • ALGORITHM FOR SYNTHESIS OF COMBINATIONAL LOGIC CIRCUITS BASED ON THE EVOLUTIONARY APPROACH

    L.А. Gladkov, N.V. Gladkova
    Abstract

    The emergence of new technologies for manufacturing components of digital electronic devices
    has led to the need to improve the efficiency of computer-aided design methods. Increasing
    requirements for elements causes an increase in the size of the problems being solved. To solve
    problems that were previously impossible to automate, new methods and software applications are
    being developed. Specialists are faced with the task of developing fundamental principles for constructing
    next-generation design systems. The development of devices with such characteristics as
    reliability, survivability, and automatic damage repair is an urgent task. This paper proposes an
    approach to solving the problem of synthesizing combinational circuits based on the use of evolutionary
    design methods. Evolutionary design of a technical system refers to the purposeful use of
    computer models of evolution at all stages of system development. The goal is to enable fully automatic
    design. The main idea of self-reconfigurable hardware systems is to replace generalpurpose
    hardware systems with systems that can adapt to the specifics of the software being executed.
    The synthesis of a programmable circuit is based on the principle of “bottom-up” design –
    from the lowest to the highest level. This allows you to configure the hardware individually by
    programming logic elements. To implement this task, evolutionary algorithms are used. Logic
    functions can be described by combinational circuits. One of the advantages of combinational
    circuits is their high performance. The task is to develop the structure of a combinational logic
    circuit based on a given truth table and nomenclature of logical elements. The work proposed an
    evolutionary algorithm for the synthesis of combinational logic circuits. A technique for encoding
    alternative solutions and modified evolutionary operators for synthesizing new solutions were
    developed. A software implementation of the proposed algorithm has been completed. The computational
    experiments carried out confirmed the correctness of the chosen approach. The use of
    evolutionary methods for the synthesis of combinational logic circuits makes it possible to increase
    the intelligence of design systems.

  • 8-BAND HETEROGENEOUS BANK OF FIR FILTERS WITH HIGH COMPUTATIONAL EFFICIENCY FOR HEARING AIDS

    D.А. Guzhva, К. О. Sever, I.I. Turulin
    Abstract

    This article discusses recursive filters with finite impulse response and filter banks. The filter
    bank is an array of bandpass filters. The analysis filter block divides the input signal into several
    components, with each of the sub-filters carrying one frequency sub-band of the original signal.
    On the contrary, the synthesis filter block combines the output data of the sub-bands to restore
    the original input signal. In most applications, certain frequencies are more important than others.
    Filter blocks can isolate various frequency components in the signal. This way we can put more
    effort into processing more important components and less effort into processing less important
    components. Subband filters can be combined with step-down or step-up sampling to form a bank
    of multi-speed filters. Filter banks are widely used for speech recognition and speech quality improvement.
    Currently, filter banks have expanded their application to video and image processing.
    In addition, filter blocks are very useful in communication systems, including digital receivers and
    transmitters, pre-coding of filter blocks for channel alignment, discrete multi-tone modulation and
    blind channel alignment. The use of these filters for hearing aids is considered. An 8-band heterogeneous
    bank of recursive filters with finite impulse response (FIR) with high computational efficiency
    for hearing aids has been developed. The computational complexity (BC) of a recursive
    filter with a finite impulse response (RCIHF) is also compared with the computational complexity
    of non-recursive filters with a finite impulse response (NCIHF).

  • CHARACTERISTICS OF QUANTUM CIRCUITS WITH FUNCTIONAL CONFIGURATIONS OF QUBITS

    S.M. Gushanskiy, V.S. Potapov
    Abstract

    The paper is an exploration of a new approach to the systematic analysis and classification
    of quantum circuits based on the functional configuration of qubits. The article examines in detail
    the role of elementary gates in changing the elements of the state vector and highlights the importance
    of functional configurations of qubits in the collective modification of quantum states.
    The main aspects covered in the article include the characterization of quantum circuits with functional
    configurations of qubits, analysis of the impact of elementary gates on the state of a quantum
    vector, and determination of the number of possible types of functional configurations.
    The results of the study could have important implications for optimizing quantum circuits and
    improving our understanding of their general properties. A qubit functional configuration is a
    mathematical structure that can collectively classify the properties and behavior of quantum circuits.
    The development of quantum algorithms with efficient quantum circuits has been a central
    part of quantum computing, which has seen enormous progress both theoretically and experimentally
    over the past 30 years. The paper makes a contribution to the field of quantum computing by
    providing a systematic approach to classify and analyze quantum circuits based on their functional
    qubit configurations. Quantum algorithms are an innovative class of algorithms based on the
    principles of quantum mechanics and using qubits instead of classical bits to process information.
    Unlike classical algorithms, which operate on bits that take on the values 0 or 1, quantum algorithms
    can use the principles of quantum superposition and quantum interaction, which allows
    them to perform many calculations simultaneously. One of the key advantages of quantum algorithms
    is their ability to solve certain problems much more efficiently than classical algorithms.
    However, the design and implementation of quantum algorithms pose significant technical and
    algorithmic challenges, such as managing quantum states, minimizing errors, and creating robust
    quantum gates. Despite these challenges, quantum algorithms offer promising opportunities to
    revolutionize computing and solve problems that have traditionally been too complex for classical
    computers

  • PROJECTION OF THE NONLINEAR DIFFERENTIAL EQUATION RICCATI INTO VOLTERRA POLYNOMIALS USING THE FINITE ELEMENT METHOD

    Е.Y. Kislovskiy, А.V. Shandybin, V.N. Taran
    Abstract

    This paper concerns the problems of modeling nonlinear causal systems. The aim of the paper
    is to transform the nonlinear Riccati differential equation into operator form. The brief review
    of approaches to modeling nonlinear dynamic systems is provided. Problems of projection the
    original equation into differential equations with Volterra kernels and solving the resulting equations
    are solved for Volterra series model. A short description of the method of projection into
    hyperspace using the Frechet functional derivative is given. The result of projection is differential
    equations with solutions in the form of Volterra kernels is shown. The linear kernel is a solution to
    an ordinary differential equation, and kernels higher than first order are found by solving partial
    differential equations with respect to time domain variables. The model with only the first two
    kernels of the series is considered. Attention is paid to the equation with a bilinear kernel. Search
    of such kernel by analytical methods is more complicated compared to the equation with a linear
    kernel, which is why this work attempts to calculate it using a numerical method. The detailed
    description of the developed algorithm for calculating the bilinear kernel using the finite element
    method is given. Using this method, the general operator model will the semi-analytic structure in
    the form of a sum of convolutions with the analytical linear kernel and the finite element bilinear
    kernel. An operator model for the weakly nonlinear system has been developed. The simulation
    modeling was done for verify the operator model. The computational experiment consisted of obtaining
    the transient response by test signal in the form of the Heaviside function. The responses of
    the linearized and proposed operator model were calculated using discrete convolution. The obtained
    characteristics were compared with the fourth-order Runge-Kutta solution as a reference
    solution of the basic equation. The developed operator model gives a response closer to the reference
    response, which is confirmed by the results of residual calculations.

  • THE COMMON ALTERNATIVE APPROACH FOR THE EFFICIENT DEEP LEARNING NEURAL NETWORKS

    N.S. Krivsha, V.V. Krivsha, S.A. Butenkov
    Abstract

    This paper proposes a new approach to the organization of computational structures of layers
    and inter-layer connections in the construction of artificial neural networks for solving a wide
    range of problems of multidimensional data processing. The main problem of building deep learning
    networks is the necessity of introducing a large number of network training parameters. Available
    working instances of such networks contain billions of parameters, which allows to achieve
    high efficiency of such networks. The downside of such a widely used structure of networks in the
    form of multilayer sieve structures is the high cost of training networks with a large number of
    structurally similar convolution layers by the back-propagation method. A solution to the problem
    of increasing the efficiency of such multilayer structures can be found in the use of hybrid layers
    realizing data granularity operations, which were developed in our work. The new hybrid models
    use matrix information elements instead of vector values of training parameters, which allow encoding
    subsets of data values (information granules) instead of encoding individual data points as
    in classical convolutional networks. The proposed hybrid layers are trained without a teacher and
    allow parallel implementation of learning algorithms, which is fundamentally different from sequential
    backpropagation algorithms as a result, the computational efficiency of similar hybrid
    neural networks can be significantly increased. The theoretical approach to modeling and optimizing
    the structures of deep learning networks proposed in this paper can be extended to a wide
    range of computational intelligence problems.

  • INTRODUCTION TO MELLIN OPERATOR THEORY AND SOME OF ITS APPLICATIONS IN SIGNAL PROCESSING

    А. М. Makarov, А.S. Ermakov
    Abstract

    Integral transformations have played an important role in the development of the theory and
    its applications for processing information-bearing processes. Mathematically, integral transformations
    map the space of the original variable into a new space of a new variable, that is, they
    map sets of elements of the space of the "many into one" type. In signal theory, the integral Fourier
    transform has been widely used not only as a representation of signals, but also in their spectral
    analysis. The Hilbert integral transformation served as a development of the theory of digital representation
    of broadband signals. The paper discusses the theory of the integral Mellin transform,
    which is not as well known as the previous ones, for its use in signal processing and interference,
    as well as some problems of an applied nature in signal theory. We presented the theory of spectral
    correlation analysis of random processes in the basis of the integral Mellin transform. In particular, a theorem (analogous to the Wiener-Hinchin theorem for the Fourier transform) is proved
    on its basis on the relationship of the correlation function of noise in the basis of the Fourier
    transform with the spectral density of noise power in the basis of the Mellin transform. These results
    can be used as the basis for the synthesis of signal processing algorithms against interference
    in the basis of the integral Mellin transform. Based on it, the functional structure of the signal
    detector has been developed against the background of Gaussian noise with unknown a priori
    correlation function and signal duration. It should be noted that the authors' work considers rather
    complex mathematical calculations. For beginners who get acquainted with the integral
    Mellin transformation, we recommend that you first familiarize yourself with the textbook.

  • MODIFICATION OF THE FMEA METHOD USING MACHINE LEARNING ALGORITHMS

    Е.S. Podoplelova, I.I. Knyazev
    Abstract

    Risk assessment is an important task in any field, from manufacturing to medicine. Risks accompany
    a project, product or process throughout its life, from the moment of planning until its
    complete termination. Each of them has its own approaches. These include FMEA (Failure Mode
    and Effects Analysis) - analysis of the types and consequences of failures. The proposed model is
    based on the FMEA method, which is based on risk assessment according to three criteria: the
    severity of the consequences when a threat is realized and the complexity of identifying a failure,
    the probability of occurrence. The first two criteria are based on expert assessment obtained in
    accordance with artificial intelligence methods. The authors proposed a modification of the third
    criterion. In our work, we replaced the expert assessment of the “probability of occurrence” criterion
    with a machine learning model capable of predicting this indicator based on statistical data.
    We carried out the first stage of research into the task at hand on NASA’s open dataset about engine
    operating cycles before failure. Initially, the task was set to predict the remaining number of
    cycles before failure, then we moved to the classification task, determining whether the equipment
    is at risk, depending on its potential remaining life. The best result was obtained by the support
    vector machine (SVM), with a classification accuracy of 80%. The goal of the work is to create a
    risk assessment model based on the FMEA methodology, which allows to improve the quality of
    assessment, reduce subjectivity in decision making, making a forecast based on historical data,
    and not just the subjective experience of an expert.

  • RECURSPIVE SEPARABLE 2D DIGITAL FILTER FOR INCREASING THE SHARPNESS OF RGB IMAGES

    К. О. Sever, D.А. Guzhva, I.I. Turulin
    Abstract

    An important role in the perception of image quality is sharpness, that is, the An important
    role in the perception of image quality is played by sharpness, that is, the magnitude of the brightness
    gradient in areas near the boundaries of objects. This characteristic is responsible for the
    clarity and detail of small image elements. Defocusing the camera lens and insufficient illumination
    are the main factors that can lead to digital image blurring. To increase the sharpness, various
    processing methods are used, such as filtering in the frequency domain, for example, the use of
    fast Fourier transform to emphasize the boundaries and textures of the image. The use of this typeof filtering allows you to control the contrast and frequency content of the image, which leads to
    an improvement in visual perception. However, this method has a number of significant drawbacks,
    such as logarithmic complexity and performing additional calculations associated with
    forward and inverse Fourier transforms. Therefore, the preferred method of image sharpening is
    the so-called spatial processing, which provides direct filtering of image pixels without additional
    transformations, and the reuse of processing results (recursive component) in the filter allows you
    to reduce the number of operations, reduce computational complexity. The article describes the
    development of an effective recursive separable two-dimensional digital filter to sharpen largedimensional
    RGB images. The algorithms of its construction are given, the corresponding block
    diagrams are designed. The filter has the property of more uniform detail of image objects, and is
    less susceptible to the creation of pulse noise. Also, for the original high-resolution RGB image, a
    blur filter is modeled, the matrix of which is filled according to the normal (Gaussian) law.
    To assess the filtration quality, the developed filter is compared with the algorithm of classical
    two-dimensional convolution with a 5x5 Laplace high-pass filter core.

  • STATISTICAL AND MACHINE METHODS FOR AUTOMATICALLY EXTRACTING CAUSAL RELATIONSHIPS FROM TEXT (REVIEW)

    K.B. Shtanchaev
    Abstract

    Until the 2000s, the concept of non-statistical methods was used to solve the problem of
    automatic extraction of causal relationships (CR). These methods used manually constructed
    linguistic templates. Obviously, the CR that did not fit into the built templates could not be
    defined. Non-statistical methods required constant manual control by experts, up to the evaluation.
    Almost all methods were aimed at extracting explicit CR. In some methods, attempts
    were made to untie the extraction system from a specific subject area. To eliminate the above
    disadvantages, the methods developed in the future began to shift towards statistical data
    processing and machine learning. In this article, statistical and machine methods of CR e xtraction
    are considered. A few valuable papers related to the new paradigm of CR extraction
    were analyzed. The aim of the research was to evaluate new methods with the ability to identify
    their advantages and disadvantages. The great advantage of machine and statistical
    methods is independence from the subject area while maintaining the accuracy of extraction.
    Such methods are worse in accuracy, but they are not tied to a specific problem area. The
    methods themselves, unlike non-statistical ones, which used linguistic and syntactic comparison
    with templates manually, are focused on finding these templates. Even though machine
    and statistical methods are mostly independent of the subject area and use large corpora oftext for teaching, they are intended mainly for the English language. There is also no standardized
    data set that would allow methods to be compared with each other. All works devoted
    to methods ignored the extraction of implicit CR.

SECTION II. DATA ANALYSIS AND MODELING

  • SURFACE LAYER ELECTRICITY RESEARCH: MODELING AND EXPERIMENT

    О.V. Belousova
    Abstract

    The article presents a comparative analysis of the numerical and analytical modeling results
    of the electrode effect in the atmosphere, as well as experimental studies of electrodynamic processes
    taking place in the surface layer. For the analysis, several electrical characteristics of the
    surface layer in the atmosphere were used, namely, the values of the parameters of the electrode
    effect determined by the number of positive and negative aeroions at different altitudes from the
    earth's surface. Studies have been carried out for various models under various meteorological
    conditions in approximations of the classical (non-turbulent) and turbulent electrode effect, both
    in a clean atmosphere and taking into account aerosol air pollution. The independence regularity
    of the electrode effect value as a whole (the amplification of the electric field at the surface compared with the upper boundary of the formed electrode layer) from atmospheric conditions with
    various methods of mathematical and numerical modeling is revealed. It is established that the
    height of the electrode layer and, accordingly, the scale of the electrical characteristics distribution
    change significantly when various factors, such as ionization and aerosol air pollution, the
    presence and intensity of turbulent and convective transport, act on the near-surface layer of the
    atmosphere. The verification of approximate analytical models was carried out by establishing the
    correspondence between the results of numerical modeling, theoretical calculations and experimental
    studies obtained earlier. The data of theoretical and numerical calculations in various
    ways are in good agreement with each other and with the results of experimental atmosphericelectrical
    observations. Conclusions are drawn about the possibility of using approximate analytical
    expressions obtained by mathematical modeling methods to describe the electrodynamic
    structure of the atmospheric lower layer.

  • USING THE NORMALIZED RANGE METHOD TO ASSESS THE IDENTITY OF TEST CYCLES

    S.I. Klevtsov
    Abstract

    The measurement accuracy of a microprocessor-based physical measurement sensor is
    measured to the extent determined by its conversion characteristic, which is constructed from data
    obtained from various calibration tests. Characteristics of the sensor converter, on which the
    measurement accuracy depends, within a certain degree of approximation of the characteristics of
    the sensor converter. Sensor calibration tests are carried out in accordance with the test procedure.
    In the process of fulfilling obligations, errors arise due to exceptions of individual loops
    made on each other. Therefore, small deviations from the conduction scheme can lead to a decrease
    in the quality of the conversion characteristics and a decrease in the metrological characteristics
    of the sensor. It is important that the results of several test cycles under constant environmental
    conditions are independent of each other. The article presents a method for determiningthe quality of the results of calibration tests of a microprocessor pressure sensor. The method
    allows you to evaluate previous test cycles for violation of the conditions of their conduct. An artificial
    time series constructed using test data is analyzed. For construction, a specialized procedure
    was implemented for connecting individual cycles into a single structure, similar to a time series.
    A separate time series was constructed for each constant temperature value. Since the resulting
    time series is a linear function, its Hurst exponent should be close to one. In this case, the series is
    trend-resistant, and experimental cycles check independence and calculate a single linear trend
    with minor deviations from it. If during the test any conditions for their conduct were violated, for
    example, the conditions for transition from one temperature regime to a procedure, then based on
    the results of the current test regime, the temperature conditions of the cycle regime will be observed.
    To determine such scales, a procedure is proposed for comparing the Hurst exponent of a
    time series, which presents data from an unreliable test cycle, with a range of acceptable results.
    If the Hurst exponent meets the established limits, the test results can be used to construct a highquality
    calibration characteristic. Otherwise, the results of the analyzed cycle describe the test
    cycle conditions and recommend repeated test cycles.

  • INVESTIGATION OF A DISTRIBUTED SYSTEM OF CHARGING STATIONS FOR THE POWER SUPPLY OF A GROUP OF MULTICOPTER-TYPE UAVS

    V.А. Kostyukov, М.Y. Butenko, V.G. Gistsov, I.D. Evdokimov
    Abstract

    Due to the accelerated growth in the use of groups of autonomously functioning unmanned
    aerial vehicles (UAVs) in various environments, solving the problem of optimizing the functioning
    of groups of such vehicles according to the criterion of the minimum energy consumed is an urgent
    scientific task. In this article, a new approach is being developed to ensure energy saving of a
    group of unmanned aerial vehicles (UAVs) by using a distributed system of UAV charging modules
    that provide the necessary versatility in servicing different types of vehicles. It is assumed that
    the charging modules are installed at a subset of service stations, between which multicopter-type
    UAVs ply, carrying out a cargo delivery mission. It is necessary to determine such a number and adirectly specified subset of service stations equipped with such modules that would deliver the
    optimum of some quality functional characterizing the functioning of a group of UAVs. The article
    suggests as such a functional the ratio of the number of UAVs that have successfully fulfilled the
    tasks assigned to them for the delivery of goods to the number of stations with charging modules.
    The model of UAV movement between destinations assumes taking into account not only the cruising
    mode, but also the maneuvering of the device during takeoff and landing; the dependence of
    the energy consumption rate on the current kinematic values of the device is also taken into account.
    It is envisaged that the device will fall if it consumes energy below the maximum threshold
    value. A simplified model of a service station with a charging module (CM) has been developed,
    implying the replacement of discharged batteries. The waiting mode of the UAV in the queue is
    taken into account. To study the developed algorithms for motion planning and choosing the optimal
    distribution of charging modules across service stations, software based on the Unity environment
    has been created and tested. The flexibility of the latter allows modeling various algorithms
    of information interactions of elements within a group of UAVs, a group of CM, as well as
    cross-interactions between UAVs and CM.

  • THE ARCHITECTURE OF FUNCTIONAL DEVICES OF THE DIGITAL PHOTONIC COMPUTER

    I.I. Levin, D.А. Sorokin, А.V. Kasarkin
    Abstract

    The paper covers the problems of the development of digital photonic computers. Along with
    quantum computers, they are one of the possible ways to overcome the crisis of computing performance.
    The data processing implementation in digital photonic computers at terahertz frequencies
    potentially provides the performance exceeding by two or more decimal orders of magnitude the
    performance of the most modern computing systems. Modern research suggests the prospects for
    the development of digital photonics. It can provide the performance, significantly exceeding the
    performance of microelectronic computers with the same calculation accuracy. At the same time,
    largely, the efforts of researchers are aimed at creating digital photonic logic elements, while
    architectural issues are considered very superficially. The authors consider the development problems
    of the digital photonic computer architecture, which could provide a solution to a wide class
    of computationally time-consuming problems in the paradigm of structural calculations.
    It is shown that the synchronization and switching subsystem must have a hierarchical topology
    with the configuration of information links both in the programming process of a photonic computer
    and in the process of solving problems to use this calculation paradigm. The principles of
    ensuring the performance and accuracy at solving problems on digital photonic computer with the
    chosen data representation method are considered. The authors have developed models of
    functional devices of basic arithmetic operations in the basis of photonic logic: the addition
    and multiplication in the IEEE 754 standard. The devices are implemented according to the
    scheme of linear conveyor with low-order processing forward. Unlike traditional microelectronics,
    the proposed approach to the construction of conveyor functional devices does not
    involve the use of latch registers. Its implementation leads to excessive hardware co sts in
    digital photonic logic. In addition, the branching factor of hardware information links b etween
    logical elements is limited at development the computational circuits. This will reducethe problem of signal attenuation. The FPGA has been used to prototype the developed functional
    addition and multiplication devices and to evaluate the performance of computing
    structures, implemented on DPC, similar to structures in mathematical physics problems at
    performing operations such as "matrix multiplication by vector".

  • INTENSITY OF REFLECTED SIGNAL VOLTAGE FLUCTUATIONS AT SMALL IRREGULARITIES OF THE REFLECTING SEA SURFACE

    V.Т. Lobach, А.N. Bakumenko
    Abstract

    The work is devoted to the study of reflections of electromagnetic fields from images corresponding
    to the limitations of the Kirchhoff method. An analysis of wave work known in the field of
    diffraction allows us to conclude that solutions to problems of diffraction of wave characteristics
    by uneven surfaces are reduced to one degree or another when deriving simplifying hypotheses.
    Among the main simplifications are: limitation of radiation areas and, as a theory, fixation of
    multipliers of integrated expressions, refusal to take into account the variability of local indicators
    of the Fresnel reflection coefficient, solution of a single-position problem of wave diffraction in
    conditions of combining points and reception, isotropic nature of the spatial structure of the reflecting
    surface. The work solves the problem of estimating the range of voltage fluctuations of a
    radar signal reflecting a small-scale rough sea surface, without accepting the main simplifying
    hypotheses. Based on the general solution for the scattering fields of the main polarizations obtained
    within the Kirchhoff method, analytical solutions for the intensity of fluctuations of the
    complex amplitude of the field and the power of the incoherent component of the reflected signal
    are analyzed. The relations obtained for the case of small heights of surface irregularities show
    their differences from the known results. Functional dependences of the intensity of fluctuations of
    the complex amplitude of the field and the power of the incoherent component on the electrical
    parameters of the reflecting surface, on the magnitude of the spatial separation of the transmitting
    and receiving antennas, on the wavelength and length of sea wave crests, on the width of the antenna
    radiation pattern (APP) and on the magnitude of the surface inclinations were obtained.
    Spatial separation of the transmitting and receiving antennas reduces the amount of power of the
    incoherent component. The effect of diversity weakens as the beam expands and the flight altitude
    increases. As the length of sea waves and the length of sea wave crests increase, the degree of
    their influence on the power of the incoherent component weakens. It also weakens as the width of
    the bottom expands and with a decrease in the radio wavelength. It is shown that in the decameter
    range of radio waves, taking into account the slopes of the surface leads to a change in the intensity
    of fluctuations of the reflected signal by a few percent only at sea wavelengths approaching the
    radio wave length.

  • METHOD AND ALGORITHM FOR SIGNAL SIMULATION IN LOCATION AND WIRELESS COMMUNICATIONS SYSTEMS WITH MOVING GEOMETRY

    А.А. Maryev, Z.А. Ponimash
    Abstract

    The work is devoted to the issues signals simulation in systems with moving objects. The relevance
    of the problem is determined by the growing interest in application of ultra-wideband signals,
    progress in the field of creation of hypersonic aircraft and low-orbit spacecraft, as well as
    the widespread use of radar and sonar systems with long accumulation of signals.
    The geometry of the problem of location for a rather general case (bistatic location with moving
    transmitter, reflector and receiver) is considered, as well as the method and algorithm for solving
    the problem of modeling echo signal for the simplified case of homogeneous and isotropic medium.
    The necessity of numerical methods usage for realization of the proposed simulation method,
    suggestions on the choice of numerical methods are given: Runge-Kutta method is suggested for
    solving differential equations, for solution of algebraic equations Newton's method is suggested.
    Recommendations are given on the choice of parameters of each of the numerical methods. The
    applicability of the proposed method and algorithm to the problem of wireless communication with
    mobile objects is shown. Several important special cases for each of the problems are considered
    with the indication of areas of radio engineering and hydroacoustics, in which each of the special
    cases are relevant. It is shown that in a number of simple special cases the proposed method leads
    to solutions already obtained by other authors and published in open sources. Recommendations
    are given on generalization of the algorithm to more complex variants of the problem formulation

  • MODELING AND PARAMETERS OPTIMIZATION OF A PHASE-LOCKED LOOP SYSTEM WITH CONSIDERATION OF THE LOOP FILTER ORDER

    А.М. Pilipenko, I.V. Bondarenko
    Abstract

    Frequency synthesizer models with a phase-locked loop (PLL) system have been obtained for
    the 4,4…4,99 GHz range, which is the most promising for the fifth generation (5G) communication
    systems in the Russian Federation. The 4,4...4,99 GHz operating band is intended to provide wireless
    communications of the 5G standard within the city and is not used by other wireless communications
    networks for civil or military purposes. The goal of this work is to determine the parameters of a PLL
    system to implement the frequency synthesizer that provides maximum attenuation of spurs with the
    minimum setting time of the specified frequency in the band allocated for 5G communication systems.
    In accordance with the present goal, the following problems are solved: description of frequency
    synthesizers models based on a PLL system with loop filters of various orders; analysis of the transfer
    characteristics of the PLL system in the frequency domain; determination of the dependences of
    the PLL system spurs attenuation and the operation speed upon the order and the parameters of loop
    filters; calculation of the optimal parameters of the loop filters to ensure maximum spurs attenuation
    and minimum setting time of the specified frequency. To solve the assigned problems, the dependences
    of the spurs attenuation upon the optimization parameters were calculated for the cases of using
    loop filters of the 2nd, 3rd and 4th orders. In addition, an analysis of the dependences of the setting
    time upon the optimized parameters was performed. It has been shown that the use of high-order
    loop filters with optimal parameters can significantly increase the level of attenuation of higher spurs
    and at the same time reduce the setting time of the specified frequency. In particular, the fourth-order
    loop filter makes it possible to provide 18 dB more attenuation of higher spurs and 12,5% less setting
    time of the specified frequency than the second-order loop filter. In addition, the use of higher-order
    filters makes it possible to increase the attenuation of the main spurs by 5 dB compared to the second-
    order loop filter.

  • ANALYSIS OF APPROACHES TO THE DESIGN AND IMPLEMENTATION OF MEDICAL INFORMATION SYSTEMS BASED ON THE CONCEPT OF A CYBER-PHYSICAL SYSTEM FOR SOLVING PROBLEMS OF VERIFYING THE STATE OF FRAGMENTS OF MEDICAL BIOLOGICAL OBJECTS

    А. V. Proskuryakov
    Abstract

    This article discusses approaches and their analysis to the design and implementation of
    medical information systems based on the concept of a cyberphysical system for solving problems
    of verifying the state of fragments of medical biological objects in the process of diagnosing diseases.
    The relevance of the development of tools and methods for automating diagnostic and
    treatment processes based on advanced technologies with the widespread introduction of medical
    information systems (MIS), medical automated information systems (MAIS), medical automated
    diagnostic information systems (MADIS) based on a complex of technical means (CTS) of computer
    technology (VT), a complex of software (KPS,) system and instrumental, network technologies
    and computer networks, new information technologies in general, when implementing a model for
    the development of domestic production of technological equipment and medical products. An
    analysis is made of what should be included in its composition, according to which principle it
    should be built, which principles of construction should satisfy the MIS, as a cyberphysical system
    (CFS). The technological sequence is shown, which is the analysis of X-ray images, decisionmaking
    based on the analysis of these images, diagnosis based on the decisions made by the decision-
    making subsystem of the MIS, which should be carried out by developing and applying algorithms
    for automating the diagnostic process implemented by the developed software and information
    support for the maintenance of the decision-making subsystem. The implementation of the
    process of verifying the state of fragments of biological objects using computed tomographic images
    of MIS is described. The article focuses on the analysis of X-ray images, decision-making
    based on the analysis of these images, diagnosis based on the decisions made. Examples of applied,
    practical implementation of software and information support for the process of automation
    of verification of medical facilities in the form of screen forms for working with fragments of the
    object under study and the results of the analysis of radiographic images are given. All this makes
    it possible to increase the efficiency, accuracy of verification of the state of medical biological
    objects, the reliability of the disease diagnosis process. The scientific novelty, the results of the
    approbation of the material presented in the article at international, All-Russian conferences,
    scientific journals are shown.

  • MODELING OF THE MEMPOOL SIZE CHANGE BASED ON THE MONTE CARLO METHOD UNDER CONDITIONS OF INCOMPLETE INITIAL INFORMATION

    V.D. Salmanov
    Abstract

    This article examines the influence of various parameters of the blockchain network on each
    other. Due to the mathematical complexity of forming an absolutely accurate emulator of the block
    chain formation process and the unpredictability of a number of factors, the process is considered
    stochastic. The study found a close to directly proportional relationship between the size of the
    mempool and the value of the cryptocurrency. A mempool is a set of transactions awaiting confirmation
    on the blockchain. The cost of cryptocurrency can affect the number of miners processing
    transactions, attracting them with high earnings, which can affect the speed of transaction processing
    and, as a result, the size of the mempool. The paper describes the application of the Monte
    Carlo method to determine the ratio between the size of a mempool and the price of a
    cryptocurrency, as well as the preliminary preparation of data and the formation of distributions.
    A stochastic process simulation is described to determine the relationship between the size of a
    mempool and the price of a cryptocurrency. To do this, the Monte Carlo method is used, which
    allows you to estimate the probability of various scenarios. The paper considers various stochasticmodels for the analysis of blockchain systems, for the construction of which the Monte Carlo
    method is used. The author proposes a methodology for predicting and establishing a correlation
    between the parameters under consideration based on data collected from the BitCoin network
    over the past three years. The results of the study confirmed the hypothesis that there is a relationship
    between the value of cryptocurrency and the volume of unprocessed transactions. Due to the
    lack of a complete data set, it remains impossible to predict the load on the network at a specific
    cost. A solution to this problem was presented using probabilistic methods, including the Monte
    Carlo method, based on the distribution of the historical data obtained. Using the Monte Carlo
    method to model the relationship between the size of a mempool and the price of a cryptocurrency
    and other similar tasks in similar conditions can be a useful tool for researchers to draw conclusions
    about the stable operation of the network

  • MODIFICATION OF THE M. J. BECKMAN'S VEHICLE DELAY MODEL FOR INTERCONNECTED INTERSECTIONS IN A MEGALOPOLIS

    М. А. Strizhko
    Abstract

    The problem of increasing traffic intensity in megacities is becoming more and more urgent
    every year, which leads to increased delays at intersections, increased fuel consumption and unjustified
    wear of vehicle units. One of the possible solutions to this problem is the improvement of
    traffic control methods. The development of new control systems presupposes the availability of
    sufficiently accurate mathematical models for describing the traffic flow in order to evaluate control
    quality, as well as to forecast the properties and parameters of traffic flow. Research objective
    is to study existing traffic description models, to identify their shortcomings; to improve these
    models in describing traffic flow not only at individual intersections, but also within a cluster of
    several intersections. The paper analyzes the model of vehicle delays at the intersection by
    M.J. Beckmann. It is established that this model is quite accurate in describing isolated intersections
    with a uniform intensity of traffic flow, but it is unsuitable in cases with intersections that
    have a traffic flow relationship with interconnected traffic light objects and bursts of traffic intensity
    during the traffic light control cycle. The reasons for the discrepancy between the experimental
    data and the data obtained using the M. J. Beckmann delay model are analyzed. A modification of the M. J. Beckmann delay model is proposed, which takes into account the factor of the
    shift of the resolving phase of regulation between interconnected intersections. The resulting addition
    of the M. J. Beckmann delay model has significantly improved the accuracy of calculating the
    delay of vehicles in relation to interconnected intersections

SECTION III. ELECTRONICS, INSTRUMENTATION AND RADIO ENGINEERING

  • METHODOLOGICAL BASES OF ASSESSMENT IN DIAGNOSING THE TECHNICAL CONDITION OF ELECTRICAL EQUIPMENT

    S.S. Vereshchagina
    Abstract

    Diagnostics of electrical equipment, according to regulations, is a complex and multifactorial
    process which is regularly carried out at industrial enterprises and is characterized by a wide
    range of uncertainties related to inaccurate, fuzzy and incomplete initial data, high labor intensity
    and risk situations. This results in accumulation and growth of various defects, disruption of power
    supply to industrial enterprises and technological processes, as well as equipment failure.To improve the efficiency of operation and high level of equipment fault tolerance, it is necessary
    to develop methods, models and means of diagnostics using modern information technologies including
    methods and technologies of artificial intelligence, taking into account not only quantitative
    but also qualitative initial information. This paper proposes a systematic approach to the assessment
    of the technical condition of electrical equipment at the stage of its operation. The approach
    is aimed at the implementation of system-wide principles, as well as the consideration of
    this process as an open system, thus making it possible to best organize the decision-making process
    in the control system. These principles will provide an opportunity to formulate various tasks
    to assess the technical condition of equipment using information technologies and artificial intelligence
    technologies, as well as to determine the ways and means of their solution. The authors
    proposed the structure of a unified complex of EE assessment for intelligent diagnostic systems
    which sets the sequence of tasks to be solved and the methods and approaches to be used for them.
    The unified complex will increase the informativeness of decision-making situations and reliability
    of conclusions about the technical condition of equipment under conditions of incomplete and
    fuzzy information.

  • ASSESSMENT OF DESTRUCTION OF POLYMER ELECTRICAL INSULATING MATERIAL DUE TO PARTIAL DISCHARGES AND RADICALCHAIN FRACTURE MECHANISMS

    N. К. Poluyanovich, М.N. Dubyago
    Abstract

    The article is devoted to the development of a method of non-destructive testing of the insulating
    material of cable systems. The destruction of a polymer material caused by a radical chain
    mechanism of destruction is considered. The mechanism of destruction of polyethylene caused by
    electron and ion bombardment under the action of partial discharges (PD) is given. The formation
    of cross-links associated with the activation of double bonds during the transfer of electronic excitation
    energy from a polyethylene chain is shown. When exposed to CR, the number of
    transvinylene-type double bonds reaches saturation with an increase in the dose of absorbed energy.
    The PD diagnostic system using a complex of characteristics of PD inclusions (SB, qCR, hB) by
    the amount of heat generated (Q) and ignition voltage (UV) obtained by the developed software is
    effective both for assessing the current state of insulation and for predicting its residual resource.
    The detected CR sources indicate the presence of inclusions in the cable insulation. Within the
    framework of the conducted research, a neural network (NS) model describing the architecture of
    a cyber-physical system power cable lines (PCL) for predicting the resource of EM cable electrical
    networks was built. The algorithm of the adaptive system operation, selection of parameters
    and training of the NS with subsequent prediction of the PCL resource is synthesized, which makesit possible to increase the reliability of the PCL by reducing the time to create the optimal configuration
    of the NS. The obtained NS model can be effectively used for the analysis of thermal fluctuation
    processes occurring in the control object – PCL, and the prediction of the behavior of the
    object. The method of diagnosis of IM CL in operating conditions is given. The analysis of the
    obtained results showed that the measurement of the parameters of the PD allows us to assess the
    impact of various factors on the electrical insulation of the CL and determine the degree of its
    degradation. PD is a measure of the degree of electrical aging.

  • ANISOTROPIC IMPEDANCE CYLINDRICAL METASURFACE FOR SELFADAPTIVE CANCELLATION OF SCATTERING WAVES WITH ANY POLARIZATION

    А.I. Semenikhin, А.V. Klimov, А.N. Savitskiy
    Abstract

    The article is devoted to the topical problem - reducing the radar cross-section (RCS) of cylindrical
    objects using anisotropic metasurfaces (MS). The purpose of the work is to study anisotropic impedance
    MSs for self-adaptive (to the irradiation frequency) RCS suppression of cylindrical metal surfaces
    when irradiated by linear (LP) and circular (CP) polarized waves. To achieve this goal, the known
    principles of operation, design and capabilities of MSs for reducing the RCS of both flat and cylindrical
    metal surfaces, including surfaces of electrically small radius, were analyzed. The 2D problem of scattering
    a plane electromagnetic wave on the model of a cylindrical metasurface (CMS) in the form of a
    circular cylinder with anisotropic homogenized impedance boundary conditions of a general form is
    considered. Using the eigenfunction method, analytical expressions are obtained for the scattering matrices
    of a cylindrical metasurface in linear and circular polarization bases. Scattering matrices make it
    possible to solve various problems of synthesizing the impedance tensor of the CMS on given scattering
    characteristics in the LP and CP bases. In particular, a diagonal impedance tensor of the CMS has been
    synthesized, which provides that the fields of scattering of TE-, TM-polarized waves as well as two circular
    co-polarized waves are antiphase. The problem of synthesizing the impedance tensor of the CMS
    from a given zero trace of a diagonal scattering matrix with self-adaptive (to the irradiation frequency)
    cancellation of waves with any polarization in the low-frequency region has been solved. It is shown that
    the radar cross-section reduction of the CMS in the reverse direction is from 60 to 10 dB in an ultrawide
    range of ka values from 0.02 to 0.4. The scattering characteristics of two models of camouflage
    coatings are calculated. It is shown that the reactance CMS based on meta-particles in the form of rectangular
    strips reduces the RCS by 10 dB in the low-frequency band of 200– 520 MHz with the incidence
    of the TM polarized wave and by 5 dB in the band of 480–720 MHz in the case of incident TE
    polarized wave.

  • DETECTION OF STEALTH OBJECTS IN AN ANECHOIC CHAMBER

    К. А. Sinanyan, Y.V. Yuhanov, I.V. Ilin, I.V. Merglodov
    Abstract

    The development of the global market of unmanned aerial vehicles and the Russian market of
    unmanned aerial vehicles is considered and analyzed. Prospects for the development and growth of the
    unmanned aerial vehicles market. The importance of reliable measurement of the effective scattering
    surface of stealth unmanned aerial vehicles is considered. The methods of reducing parasitic reflection
    from a pivoting support device inside an anechoic chamber are considered - the use of a column made
    of radio–transparent material and the use of a pylon made of conductive material. The results of
    calculations in HFSS using a column made of radio-transparent material and a pylon made of
    conductive material are presented. The effect of taking into account the background of an anechoic
    chamber on the reliability of measuring the effective scattering surface of stealth aircraft is considered.
    The existing methods of accounting for the background of an anechoic chamber are analyzed, which
    allow reducing parasitic back reflections in an anechoic chamber when measuring stealth objects. The
    shadow zone that appears on the back wall of an anechoic chamber when measuring objects in an
    anechoic chamber is considered. The contribution of the shadow zone arising on the back wall of the
    anechoic chamber when measuring objects to the reliability of measuring stealth objects inside the
    anechoic chamber is analyzed and the need to take into account the contribution of the shadow zone
    when measuring stealth objects in the anechoic chamber is shown. The classical method of accounting
    for the camera background, which is the basis of the proposed method, is described. The main drawback
    of the classical method of accounting for the background of an anechoic chamber is described. A new
    method for measuring mono static backscattering diagrams is proposed and described. The new method
    of measuring backscattering diagrams allows us to take into account the disadvantage of the classical
    method of accounting for the background of an anechoic chamber when measuring i stealth objects
    inside an anechoic chamber. The essence of the new method is to use a wedge of conductive material,
    which is located in the shadow zone of the back wall of the anechoic chamber, directly behind the
    measured stealth object. The effectiveness of the new method is shown in the HFSS software
    environment, based on the HFSS model of an anechoic chamber of the Southern Federal University.

  • ALGORITHM FOR GENERATING AN EXTENDED DIRECTIVITY PATTERN OF A PHASED ARRAY ANTENNA

    S. А. Shelkoplyasov
    Abstract

    An analysis of existing methods for synthesizing antennas according to a given radiation
    pattern, in which the generated radiation pattern is the sum of partial rays, is carried out. It has
    been established that in these methods an iterative process is organized, at each step of which a
    new additional beam is added to the already formed beam. In this case, search optimization algorithms
    are used to determine the parameters of the additional beam. The existence of these methods
    allows us to separately consider algorithms for determining the parameters of additional rays
    at each step of the iterative process, as processes for solving independent problems. A variation of
    such a problem is the search for parameters of additional rays to form a one-dimensionally extended
    radiation pattern. An analytical algorithm for the formation of a one-dimensionally expanded
    beam of a linear antenna is proposed and justified, represented as a sum of three narrower
    partial beams after determining two unknown parameters: the angle of separation of additional
    beams and the complex amplitude of these beams. Relationships have been obtained that make it
    possible to reduce the problem of forming an extended beam of a linear antenna to the problem of
    optimizing the expression for one parameter - the angle of separation of additional beams relative
    to the central one. It is shown that the second required parameter, the complex amplitude of the
    additional beam, is determined analytically. It was established that the choice of the required parameters
    of the optimization problem should be based on the requirements for maximizing the
    directional coefficient. After solving the optimization problem, the amplitude-phase distribution in
    the aperture of a linear antenna is represented as a superposition of three amplitude-phase distributions
    to form the corresponding partial rays. It is shown that the algorithm has limitations associated
    with the expansion of rays, since the feasibility of the requirements is related to the width of
    the used partial rays. In this regard, it is indicated that the proposed algorithm should be considered
    as an integral part of an iterative process, at each step of which additional beam expansion
    occurs. The results of the implementation of the proposed algorithm when forming several extended
    beams are presented, which confirm the performance of the proposed algorithm.