Hyperrandom Properties of Functional Characteristics of Electronic Equipment


  • Yu. F. Zinkovsky National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine
  • L. O. Uryvsky National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine https://orcid.org/0000-0001-5148-6985




hyper-random phenomena theory, radioelectronic means, functional characteristics


The problems are considered, and methods are proposed for determining the indicators of the radio-electronic devices functional purpose at designing based on hyper-random phenomena theory.

The hyperrandom nature of a physical quantity or process is manifested in their violation of the conditions of statistical stability, which is expediently characterized by coefficients of statistical instability - fluctuations of mathematical expectation, etc.

The task of the presented work is to outline the design methods that consider the hyperrandom nature of the processes occurring in radio electronic means (REM), and to determine the REM operation characteristics by methods of calculating hyperrandom indicators. To describe hyperrandom variables, probabilistic characteristics of random processes are used: distribution functions and probability density. The existing methods of design of REM do not consider the hyperrandom nature of physical processes occurring in radio electronic equipment (REE). During the operation of the REE, the characteristics and parameters are displayed in the form of operators. At the same time, each operator is the result of input influences, internal processes, and external factors.

A systematic analysis of the REE structure shows that the main components of its structural complexity are cells and microassemblies, which make up at least 75-80% of the total volume of the REE. For them, the main destabilizing factors are mechanical and thermal (external and internal). The equation of mechanical vibrations of the printed circuit board is proposed, considering the hyperrandom nature of physical quantities that determine the probabilistic values of the dynamic deflection of the circuit board, the natural frequency of oscillations, the frequency of external excitation, etc.

The hyperrandom model of the non-stationary thermal field in the board is considered, which considers the propagation of thermal energy in the board by conduction and its cooling by convection through a parabolic-type differential equation. The obtained solution within the limits of the mathematical model was implemented by the method of finite integral transformations and has the form of a hyperrandom function.

To calculate the functional indicators of the REE, considering hyperrandomness, a specialized mathematical apparatus may be required to find the distribution density, mathematical expectation, and dispersion of their random values.

Further appropriate research should be considered problems of a computational nature, since, unlike standard mathematical packages (for example, MathCad), specialized mathematical support is needed for the output parameters calculations of the apparatus with hyperrandomness signs.



Gorban I. I. (2017). The physical-mathematical theory of hyper-random Phenomena. Computer Science Journal of Moldova, Vol. 25, Iss. 2 (74), pp. 145–193.

Gorban I. I. (2010). Transformation of hyper-random quantities and processes. Radioelectronic & Communication System, Vol. 53, pp. 59–73. DOI:10.3103/S0735272710020019.

Gorban I. I. (2016). The Statistical Stability Phenomenon. Springer, 361 р. DOI:10.1007/978-3-319-43585-5.

Tarara A. M. (2019). Proiektuvannia i konstruiuvannia obiektiv tekhniky: navchalnyi posibnyk [Design and construction of technical objects: a study guide]. К.:КОНВІ ПРІНТ [K.:KONVI PRINT], 144 p.

Bošković, M. Č., Šekara, T. B., and Rapaić M. R. (2023). A New Analytical Design Method of Controllers in Modified Parallel Cascade Structure for Stable, Integrating and Unstable Industrial Primary Processes including Time Delay under Robustness Constraints. 2023 22nd International Symposium INFOTEH-JAHORINA (INFOTEH), pp. 1-6, doi: 10.1109/INFOTEH57020.2023.10094068.

Mirela Honciuc and Andrei Honciuc. (2024). Morphological Design and Synthesis of Nanoparticles. Nanomaterials (Basel), Vol. 14(4): 360. doi: 10.3390/nano14040360.

Xuelai Zhang, Zhe Ji, Jifen Wang, Xin Lv. (2023). Research progress on structural optimization design of microchannel heat sinks applied to electronic devices. Applied Thermal Engineering, Vol. 235, 121294. doi:10.1016/j.applthermaleng.2023.121294.

Rivett P. (1972). Principles of Model Building: The Construction of Models for Decision Analysis. Wiley, 141 p.

Horban I. I. (2000). Osnovy teorii vypadkovykh funktsii i matematychnoi statystyky [Basics of the theory of random functions and mathematical statistics]. Kyiv: KI VPS MO Ukrainy, 245 p.

Saukh S. Ye., Borysenko A. V. (2020). Matematychne modeliuvannia elektro-enerhetychnykh system v rynkovykh umovakh: monohrafiia [Mathematical modeling of electric power systems in market conditions: monograph]. K.: «Try K», 340 p.

Uvarov B. M., Zinkovskyi Yu. F. (2010). Optymizatsiia stiikosti do teplovykh vplyviv konstruktsii radio-elektronnykh zasobiv z imovirnosnymy kharakterystykamy [Optimizing resistance to thermal effects of radio-electronic devices with probabilistic characteristics]. Luhansk, LNPU, 190 p.

Uvarov B. M., Zinkovskyi Yu. F. (2010). Proektuvannia ta optymizatsiia mekhanostiikykh konstruktsii radio-elektronnykh zasobiv z imovirnosnymy kharakterystykamy [Design and optimization of mechanically resistant structures of radio-electronic devices with probabilistic characteristics]. Luhansk, LNPU, 201 p.



How to Cite

Зіньковський, Ю. Ф. and Уривський, Л. О. (2024) “Hyperrandom Properties of Functional Characteristics of Electronic Equipment”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, (95), pp. 31-38. doi: 10.20535/RADAP.2024.95.31-38.



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