Issue 4 (206), article 3


Cybernetics and Computer Engineering, 2021, 4(206)

VOLKOV O. Ye., PhD (Engineering),
Head of Intellectual Control Department
ORCID: 0000-0002-5418-6723, e-mail:

TARANUKHA V. Yu., PhD (Phys.-Math.),
Senior Researcher of Intellectual Control Department
ORCID: 0000-0002-9888-4144, e-mail:

LINDER Ya. M., PhD (Phys.-Math.),
Senior Researcher of Intellectual Control Department
ORCID: 0000-0003-1076-9211, e-mail:

KOMAR M.M., PhD (Engineering),
Senior Research of Intellectual Control Department
ORCID: 0000-0001-9194-2850, e-mail:

Researcher of Intellectual Control Department
ORCID: 0000-0003-3793-7801, e-mail:

International Research and Training Center for Information Technologies
and Systems of the National Academy of Sciences of Ukraine
and Ministry of Education and Science of Ukraine,
40, Acad. Glushkova av., Kyiv, 03187, Ukraine


Introduction. The general principles of the technique of synthesis of reflective characteristics of complex surfaces for small wavelengths are considered in the article. The problem is set in the conditions of using sound waves and sonar. The calculated scattering characteristics are obtained using a facet model.

Purpose. The purpose of the research is to create a method of acoustic research and determination of spatial characteristics of objects of complex shape, which contains the developed facet model of the object and the model of the reflected signal. This method consists artificial models of objects and models of the reflected signal, with the further purpose of research and determination of spatial characteristics of objects, recognition of objects, etc. It is expected that based on the simulation of signals reflected from these models, it will be possible to classify objects. An important difference from most studies is a number of assumptions about what to do with the model and how to calculate the result, because, as a rule, the main element of such studies is the reflection surface only.

Results. For the purpose of this research simplified model of signal reflection from a surface area in space is considered. We established a correspondence between wave propagation in the space and change of the value of the function representing reflecting wave. At any given moment of time the total reflected signal is the sum of all reflected signals from all surfaces. The integral form was proposed for this purpose. The analytical formula intended for the integral was designed for one of the specific cases of reflection. There were numerical experiments performed to test such formula with regard of facet model of the ship. Resulting waveform looks in accordance to expectations.

Conclusion. In accordance with the task the paper demonstrates the method of constructing a model of objects and sound signals reflected from them, paper also considers the general principles of the method of synthesis of reflective characteristics of complex surfaces for small wavelengths. It is shown why and how exactly such a model is built and the presence of a significant difference in the signal characteristics for different angles is clearly demonstrated. The main advantage of this model is the ability to conduct experiments exclusively in digital form, without the need for expensive field experiments. Further research should continue in the direction of selecting or creating an optimal recognition system based on neural networks.

Keywords: facet model, remote sensing, underlying surface, sonar image.

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Received 02.09.2021