A MODIFIED METHOD OF SPECTRAL ANALYSIS OF RADIO SIGNALS USING THE OPERATOR APPROACH FOR THE FOURIER TRANSFORM

Valentyn Sobchuk

sobchuk@knu.ua
Taras Shevchenko National University of Kyiv (Ukraine)
https://orcid.org/0000-0002-4002-8206

Serhii Laptiev


Taras Shevchenko National University of Kyiv (Ukraine)
https://orcid.org/0000-0002-7291-1829

Tetiana Laptievа


Taras Shevchenko National University of Kyiv (Ukraine)
https://orcid.org/0000-0002-5223-9078

Oleg Barabash


National Technical University of Ukraine "Igor Sikorsky Kyiv (Ukraine)
https://orcid.org/0000-0003-1715-0761

Oleksandr Drobyk


State University of information and Communication Technologies (Ukraine)
https://orcid.org/0000-0002-9037-6663

Andrii Sobchuk


State University of information and Communication Technologies (Ukraine)
https://orcid.org/0000-0003-3250-3799

Abstract

The article proposes the improved method of spectral analysis of radio signals. The improvement is achieved due to the use of special operators in the signal conversion process. This allows you to distinguish the signal accurately and to determine its characteristics at the background of many airspace obstacles. The obtained graphical results fully confirm the advantages of the proposed method. The simulation results proved the advantage of the improved method of spectral analysis of radio signals; the advantage is achieved through the usage summing matrix functions in the process of signals conversion. The proposed improved method increases the accuracy of signals detection of secretly obtaining information means by 12%.


Keywords:

spectrum, radio monitoring, matrix functions, secretly obtaining information means, harmonic functions, Fourier transformation, Poisson operator

Abdullayev F. G. et al.: Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions. Ukr. Math. J. 71(8), 2020, 1153–1172.
  Google Scholar

Babaeizadeh S.: Interpolation in Digital Signal Processing and Numerical Analysis, 2003.
  Google Scholar

Barabash O. et al.: Unmanned Aerial Vehicles Flight Trajectory Optimisation on the Basis of Variational Enequality Algorithm and Projection Method. IEEE 5th International Conference Actual Problems of Unmanned Aerial Vehicles Developments – APUAVD, 2019, 136–139.
  Google Scholar

Bushev D. et al.: The Use of the Isometry of Function Spaces with Different Numbers of Variables in the Theory of Approximation of Functions. Carpathian Math. Publ. 13(3), 2021, 805–817.
  Google Scholar

Bushev D. N., Kharkevich Y. I.: Finding Solution Subspaces of the Laplace and Heat Equations Isometric to Spaces of Real Functions, and Some of Their Applications. Math. Notes 103(5-6), 2018, 869–880.
  Google Scholar

Kal’chuk I. V., Kharkevych Y. I.: Approximation of the classes by generalized Abel-Poisson integrals. Ukr. Math. J. 74(4), 2022, 575–585.
  Google Scholar

Kal’chuk I., Kharkevych Y.: Approximation Properties of the Generalized Abel-Poisson Integrals on the Weyl-Nagy Classes. Axioms 11 (4), 2022, 161.
  Google Scholar

Kharkevych Y. I.: Approximation Theory and Related Applications. Axioms 12, 2022, 736.
  Google Scholar

Kharkevych Yu. I.: Exact Values of the Approximations of Differentiable Functions by Poisson-Type Integrals. Cybern. Syst. Anal. 59(2), 2023, 274–282.
  Google Scholar

Kharkevych Y. I.: On some asymptotic properties of solutions to biharmonic equations. Cybern. Syst. Anal. 58(2), 2022, 251–258.
  Google Scholar

Kharkevych Yu. I., Khanin O. G.: Asymptotic Properties of the Solutions of Higher-Order Differential Equations on Generalized Hölder Classes. Cybern. Syst. Anal. 59(4), 2023, 633–639.
  Google Scholar

Kharkevych Yu., Stepaniuk T.: Approximate properties of Abel-Poisson integrals on classes of differentiable functions defined by moduli of continuity. Carpathian Math. Publ. 15(1), 2023, 286–294.
  Google Scholar

Kravchenko Y. et al.: Intellectualisation of decision support systems for computer networks: Production-logical F-inference. 7th International Conference "Information Technology and Interactions", CEUR Workshop Proceedings, 2021, 2845, 117–126.
  Google Scholar

Kresin G., Maz’ya V.: Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space. Mathematical Modelling of Natural Phenomena 13(4), 2018, 37.
  Google Scholar

Kyrychok R. et al.: Development of a method for checking vulnerabilities of a corporate network using bernstein transformations. Eastern-European Journal of Enterprise Technologies 1(9)(115), 2022, 93–101.
  Google Scholar

Laptiev O. et al.: Development of a Method for Detecting Deviations in the Nature of Traffic from the Elements of the Communication Network. International Scientific and Practical Conference "Information Security and Information Technologies", 2021, 1–9.
  Google Scholar

Laptiev O. et al.: Weierstrass Method of Analogue Signal Approximation. IEEE 4th KhPI Week on Advanced Technology – KhPIWeek, 2023, 1–6.
  Google Scholar

Laptiev O. et al.: Method of Determining Trust and Protection of Personal Data in Social Networks. International Journal of Communication Networks and Information Security – IJCNIS 13(1), 2021, 15–21 [https://www.ijcnis.org/index.php/ijcnis/article/view/4882].
  Google Scholar

Laptiev O. et al.: Method of Detecting Radio Signals using Means of Covert by Obtaining Information on the basis of Random Signals Model. International Journal of Communication Networks and Information Security – IJCNIS 13(1), 2021, 48–54 [https://www.ijcnis.org/index.php/ijcnis/article/view/4902].
  Google Scholar

Laptiev O. et al.: The method of spectral analysis of the determination of random digital signals. International Journal of Communication Networks and Information Security – IJCNIS 13(2), 2021, 271–277.
  Google Scholar

Li X., Zhu J., Zhang S.: A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems. Applied Mathematical Modelling 35(2), 2011, 737751.
  Google Scholar

Lukova-Chuiko N. et al.: The method detection of radio signals by estimating the parameters signals of eversible Gaussian propagation. IEEE 3rd International Conference on Advanced Trends in Information Theory – ATIT, 2021, 67–70.
  Google Scholar

MacLeod A. J.: The efficient computation of some eneralized exponential integrals. J. Comput. Appl. Math. 148(2), 2002, 363–374.
  Google Scholar

Maloof M. A. et al.: Machine learning and data mining for computer security: methods and applications. Springer-Verlag, London 2006.
  Google Scholar

Ndinechi M. C., Onwuchekwa N., Chukwudebe G. A.: Algorithm for applying interpolation in digital signal processing systems. International Journal of Natural and Applied Sciences 5(2), 2009, 114–119.
  Google Scholar

Petrivskyi V. et al.: Development of a modification of the method for constructing energy-efficient sensor networks using static and dynamic sensors. Eastern-European Journal of Enterprise Technologies 1(9)(115), 2022, 15–23.
  Google Scholar

Pichkur V. et al.: The Method of Managing Man-generated Risks of Critical Infrastructure Systems Based on Ellipsoidal Evaluation. IEEE 4th International Conference on Advanced Trends in Information Theory – ATIT, 2022, 133–137 [https://doi.org/10.1109/ATIT58178.2022.10024244].
  Google Scholar

Pichkur V., Sobchuk V.: Mathematical models and control design of a functionally stable technological process. Journal of Optimization, Differential Equations and Their Applications – JODEA 29(1), 2021, 1–11.
  Google Scholar

Radosevic A. et al.: Bounds on the information rate for sparse channels with long memory and i.u.d. inputs. IEEE Transactions on Communications 59(12), 2011, 3343–3352.
  Google Scholar

Shi Z., Cao Y.: A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations. Mathematical and Computer Modelling 54 (1112), 2011, 28582868.
  Google Scholar

Stepanets A. I.: Classification and Approximation of Periodic Functions. Kluwer, Dordrecht 1995.
  Google Scholar

Vaseghi S. V.: Advanced digital signal processing and noise reduction. 3rd ed. Chichester: John Wiley & Sons Ltd., 2006.
  Google Scholar

Zamrii I. et al.: The Method of Increasing the Efficiency of Signal Processing Due to the Use of Harmonic Operators. IEEE 4th International Conference on Advanced Trends in Information Theory – ATIT, 2022, 138–141 [https://doi.org/10.1109/ATIT58178.2022.10024212].
  Google Scholar

Zhyhallo T. V., Kharkevych Y. I.: Fourier Transform of the Summatory Abel-Poisson Function. Cybern. Syst. Anal. 58(6), 2022, 957–965.
  Google Scholar

Zhyhallo T. V., Kharkevych Yu. I.: On approximation of functions from the class by the Abel-Poisson integrals in the integral metric. Carpathian Math. Publ. 14 (1), 2022, 223–229.
  Google Scholar

Zhyhallo T. V., Kharkevych Yu. I.: Some Asymptotic Properties of the Solutions of Laplace Equations in a Unit Disk. Cybern. Syst. Anal. 59(3), 2023, 449–456.
  Google Scholar

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Published
2024-06-30

Cited by

Sobchuk, V., Laptiev, S., Laptievа T., Barabash, O., Drobyk, O., & Sobchuk, A. (2024). A MODIFIED METHOD OF SPECTRAL ANALYSIS OF RADIO SIGNALS USING THE OPERATOR APPROACH FOR THE FOURIER TRANSFORM. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 14(2), 56–61. https://doi.org/10.35784/iapgos.5783

Authors

Valentyn Sobchuk 
sobchuk@knu.ua
Taras Shevchenko National University of Kyiv Ukraine
https://orcid.org/0000-0002-4002-8206

Authors

Serhii Laptiev 

Taras Shevchenko National University of Kyiv Ukraine
https://orcid.org/0000-0002-7291-1829

Authors

Tetiana Laptievа 

Taras Shevchenko National University of Kyiv Ukraine
https://orcid.org/0000-0002-5223-9078

Authors

Oleg Barabash 

National Technical University of Ukraine "Igor Sikorsky Kyiv Ukraine
https://orcid.org/0000-0003-1715-0761

Authors

Oleksandr Drobyk 

State University of information and Communication Technologies Ukraine
https://orcid.org/0000-0002-9037-6663

Authors

Andrii Sobchuk 

State University of information and Communication Technologies Ukraine
https://orcid.org/0000-0003-3250-3799

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