ISSN 1991-2927
 

ACP № 3 (65) 2021

Author: "Viktor Rostislavovich Krasheninnikov"

Viktor Rostislavovich Krasheninnikov, Doctor of Sciences in Engineering, Professor; graduated from Kazan State University; Head of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; an author of articles in the field of statistical methods of signal and image processing. e-mail: kvrulstu@mail.ruV.R. Krasheninnikov,

Iulia Evgenevna Kuvaiskova, Candidate of Sciences in Engineering, Associate Professor; graduated from Ulyanovsk State Technical University; Associate Professor of the Department of Applied Mathematics and Informatics of UlSTU; an author of articles in the field of statistical methods for processing time series systems. e-mail: u.kuvaiskova@mail.ruI.E. Kuvaiskova,

Olga Evgenevna Malenova, Postgraduate Student of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. e-mail: nika-lilu@yandex.ruO.E. Malenova,

Aleksei Iurevich Subbotin, Postgraduate Student of the Department of Applied Mathematics and Informatics of Ulyanovsk State Technical University; graduated from UlSTU; Leading Engineer at FRPC JSC ‘RPA ‘Mars’; an author of articles in the field of statistical methods of signal and image processing. e-mail: ashkael@mail.ruA.I. Subbotin

Pseudogradient algorithm for identification of doubly stochastic cylindrical image64_8.pdf

Nowadays image processing problems are becoming increasingly important due to development of the aerospace Earth monitoring systems, radio and sonar systems, medical devices for early diagnosis, etc. However, the most of the image processing works deals with images defined on rectangular two-dimensional grids or grids of higher dimension. In some practical situations images are set on a cylinder, for example images of pipeline sections, blood vessels, rotary parts, etc. The peculiarity of the domain for specifying such images requires its consideration in their models and processing algorithms. The article deals with autoregressive models of cylindrical images and gives some expressions of the correlation function depending on the autoregression parameters are given. To represent heterogeneous images with random heterogeneities, ‘doubly stochastic’ models are used in which one or more images control the parameters of resulted image. The spiral scan of a cylindrical image can be considered as a quasiperiodic process due to the correlation of image rows. The article proposes the pseudogradient algorithms for the modal identification. The statistical modeling proves these algorithms give good model identification.

Cylindrical image, doubly stochastic model, pseudogradient algorithm, quasiperiodic process, identification.

2021_ 2

Sections: Mathematical modeling

Subjects: Mathematical modeling.



Viktor Rostislavovich Krasheninnikov, Doctor of Sciences in Engineering, Professor; graduated from Kazan State University; Head of Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; an author of articles in the field of statistical methods of signal and image processing. e-mail: kvrulstu@mail.ruV.R. Krasheninnikov,

Iulia Evgenevna Kuvaiskova, Candidate of Sciences in Engineering, Associate Professor; graduated from Ulyanovsk State Technical University; Associate Professor of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; an author of articles in the field of statistical methods for processing the time series systems. e-mail: u.kuvaiskova@mail.ruI.E. Kuvaiskova,

Olga Evgenevna Malenova, Postgraduate Student of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. e-mail: nika-lilu@yandex.ruO.E. Malenova,

Aleksei Iurievich Subbotin, Postgraduate Student of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; graduated from UlSTU; an author of articles in the field of statistical methods of signal and image processing. e-mail: ashkael@mail.ruA.I. Subbotin

The hypothesis test of covariation functions of quasiperiodic processes systems represented by cylindrical image models62_10.pdf

The generally accepted mathematical model of a wide variety of natural, technical, economic and other objects that exist in time are random processes, for example sea waves, wind, vibrations of engines and hydraulic units, biorhythms, etc. An object is usually described by several parameters, that is a system of random processes or time series. The processes occurring in many objects have a form close to periodic – quasiperiodic, namely there is a periodicity with an element of unpredictability, for example speech sounds, vibrations of various technical objects, daily temperature fluctuations, etc. In order to formulate the problems of processing the quasiperiodic process systems, their mathematical models are required. For this purpose, authors propose models in which the processes are presented in the form of spiral sweeps on autoregressive cylindrical images. A suitable set of parameter values for these models provides a given degree of quasiperiodicity of individual processes and the given covariance relationships between the processes of the system. A criterion is proposed for testing the hypotheses about the correspondence of the observed system of time series to their model of the described type. The authors provide the examples of the application of this criterion with an analysis of the sensitivity to deviations of the model parameters from the expected ones are given.

Quasiperiodic process, covariance function, hypothesis tests, criterion, significance level, test power.

2020_ 4

Sections: Mathematical modeling

Subjects: Mathematical modeling.



Viktor Rostislavovich Krasheninnikov, Ulyanovsk State Technical University, Doctor of Engineering, Professor; graduated from Kazan State University; Head of the Department of Applied Mathematics and Informatics at Ulyanovsk State Technical University; an author of articles in the field of statistical methods for signal and image processing. [e-mail: kvrulstu@mail.ru]V. Krasheninnikov

Pseudophysical Approach to Allignment and Recognition of Group Point Objects 000_8.pdf

The paper examines group point objects (GPO), i.e. two- or three-dimensional binary images composed of points, e.g. constellations, the specific body points, marks on the surface of the Earth or sea. The problem of alignment and recognition of such objects arises in navigation, robotics, diagnostics using medical images, etc. In this article, in order to align and recognize GPO, the authors propose to represent them as systems of material points. The author proposes to represent the group point objects as a system of material poits for alining and recognizing these objects. In this view, it is also possible to approximate GPO using such mechanical properties as gravity centers and inertia moments. The accuracy of GPO overlapping depends on how close their forms are. It helps to recognize the objects as recognized GPO refers to the closest model.

Group point object, binary image, alignment, recognition, gravitation, gravity center, inertia moment.

2015_ 3

Sections: Mathematical modeling

Subjects: Mathematical modeling, Automated control systems, Mathematical modeling, Artificial intelligence, Architecture of ship's system.


Rinat Damirovich Shigapov, Federal Research-and-Production Center Open Joint-Stock Company ‘Research-and-Production Association ‘Mars’, graduated from the Radio Engineering Department of Ulyanovsk State Technical University; a software engineer of Federal Research-and-Production Center Open Joint-Stock Company ‘Research-and-Production Association ‘Mars’; research interests include management of marine mobile objects. [e-mail: shigap@hotmail.com]R. Shigapov,

Viktor Rostislavovich Krasheninnikov, Ulyanovsk State Technical University, Doctor of Engineering, Professor; graduated from Kazan State University, head of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; research interests include statistical methods of signal and image processing. [e-mail: kvrulstu@mail.ru]V. Krasheninnikov,

Aleksey Valeryevich Mattis, Federal Research-and-Production Center Open Joint-Stock Company ‘Research-and-Production Association ‘Mars’, Сandidate of Engineering; graduated from the Faculty of Machine-Building at Ulyanovsk State Technical University; his major is 'Technology, Equipment and Automation of Machine-Building Productions'; Deputy Chief Designer at FRPC OJSC 'RPA 'Mars'; an author of publications in the field of modelling and development of C2 systems. [e-mail: mars@mv.ru]A. Mattis

Synthesis of a Fuzzy Controller for Control of Ship Hoist 36_2.pdf

The present paper deals with a mathematical model of the system which is comprised of a ship hoist and a cable connecting the remotely controlled underwater vehicle with a surface ship; a fuzzy controller is synthesized to control the ship hoist allowing the minimum impact of the cable to the underwater vehicle.The mathematical model of the cable is represented by the N-system of the hinged rails (links); at this, the length of the first link and the link number allow their reduction over time. To model the ship hoist, a simplified model is applied. Recommendations are made to determine the membership functions for input and output variables of the developed controller, and to synthesize its rule database. The Mamdani algorithm is employed for the fuzzy logic output. When setting the membership functions and synthesizing the control rules, the restrictions for the cable strength and hoist persistence are taken into account. The paper gives the results of comparison of the ‘proportional-differential’ model with the fuzzy controllers. A computer program is developed where the performance of the hoist and control system within the ‘surface ship - cable - underwater vehicle’ system is simulated. To identify the hoist, we have used the actual features of SVL-4 hoist which is ‘Simbiya’ company produced. To implement the fuzzy modeling process, we have employed tools from MathWorks MatLab mathematical software package including Fuzzy Logic Toolbox, a specialized bump pack.

Cable, ship hoist, fuzzy controller.

2014_ 2

Sections: Automated control systems

Subjects: Automated control systems, Architecture of ship's system.


Victor Rostislavovich Krasheninnikov, Ulyanovsk State Technical University, Doctor of Engineering, Professor; graduated from Kazan State University; a head of the Department of Applied Mathematics and Computer Sciences at Ulyanovsk State Technical University; an author of papers in the field of statistical methods of signal and image processing. [e-mail: kvr@ulstu.ru]V. Krasheninnikov,

Ekaterina Anatolievna Gladkikh, Moscow Yandex Marketing Department, Candidate of Engineering, an antirobot system analyst at Moscow Yandex Marketing Department; graduated from the Faculty of Economics and Mathematics at Ulyanovsk State Technical University; an author of articles in the field of random process modeling [e-mail: kate-glad@yandex.ru]E. Gladkikh

Hypothesis Test for Covariance Function and Spectral Density of Random Process 35_3.pdf

Random processes (RP) are a mathematical model of a variety of phenomena occurring in time such as sea waves, wind, jams, noise, trajectory measurement errors, etc. Thereby, the problem of determining the covariance function (CF) or power spectral density (SD) of the analyzed process emerged. This can be a real process or simulated process used to test the algorithm processing for example the simulation of sea waves. There are a large number of publications on methods for estimating CF and PD in which a great number of efficient algorithms is proposed. However, it is not sufficient to investigate the question of identifying the characteristics of the process "as a whole". For example, does the monitoring CF process some alleged (hypothetical) species? This question can be answered by analyzing the difference between the measurements and their putative CF values. However, uncertainty remains within the allowable differences, which should be assessed in their entirety. In other words, you need to detect a criterion for significance test of a CF or SD process using the existing implementation. In this paper such a criterion is proposed and investigated.

Random process, covariance function, spectral density, hypothesis tests, criterion, significance level, test power.

2014_ 1

Sections: Mathematical modeling

Subjects: Mathematical modeling, Architecture of ship's system.


Victor Rostislavovich Krasheninnikov, Ulyanovsk State Technical University, Doctor of Engineering, Professor, graduated from Kazan State University, head of the Applied Mathematics and Informatics Chair at Ulyanovsk State Technical University; author of works on statistical methods for signal and image processing [e-mail: kvr@ulstu.ru]V. Krasheninnikov,

Rinat Damirovich Shigapov, Federal Research-and-Production Center Open Joint-Stock Company Research-and-Production Association Mars, Post-graduate student, graduated form the Faculty of Radio Engineering at Ulyanovsk State Technical University; software engineer at Federal Research-and-Production Center Open Joint-Stock Company Research-and-Production Association Mars; author of articles in the field of marine mobile objects management [e-mail: shigap@hotmail.com]R. Shigapov

The Model for Movement of Cable Connecting Carrying Ship With Unmanned Underwater Vehicle 31_13.pdf

The article shows the results of motion modeling for a cable connecting a surface ship with an unmanned underwater vehicle (UUV). The model represents the cable as a tensile torsion fiber which consequently simplifies solution of motion equations. The article uses an algorithm allowing the use of motion equations for a stretched torsion fiber provided the negative tension arises on it. We have used a simple numerical method to resolve combined cable-motion equations.

Cable, tensile, hooke's law, unmanned underwater vehicle.

2013_ 1

Sections: Software and mathematical support of computers, computer systems and networks

Subjects: Mathematical modeling, Artificial intelligence, Operational research.


Viktor Rostislavovich Krasheninnikov, [e-mail: mars@mv.ru]V. Krasheninnikov,

Ekaterina Anatolievna Gladkikh, [e-mail: mars@mv.ru] E. Gladkikh

Calculation forces and moments using the resulted sea-roughness model approximation of standard searoughness spectrum20_15.pdf

The article presents a vector autoregressive sea-roughness 3D-model.The vectors are formed as whitenoise discrete filters. The filter-parameter selection provides satisfacto-ry approximation of standard searoughness spectrum. Forces and moments taking effect on ship hull are calculated using the resulted sea-roughness model.

Random process simulating, sea roughness, autoregressive model, spectrum approximation, recommended spectrum, pierson-moskowitz spectrum, forces and moments.

2010_ 2

Sections: Shipborne c2 system: methodology for creation of systems, information technology, facilities and components

Subjects: Mathematical modeling, Architecture of ship's system.


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