Экспресс-метод определения спектрального состава сигнала на основе экстремальной фильтрации
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Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

Express method for determining the spectral composition of a signal based on extreme filtering

idMyasnikova N.V. idLysova N.V.

UDC 51-74
DOI: 10.26102/2310-6018/2022.37.2.027

  • Abstract
  • List of references
  • About authors

To date, one of the most common systems are those based on the results of measurement experiments. The processing of experimental data is widely used in information-measuring systems, technical control and diagnostic systems as well as in automated control systems. Spectral methods are a powerful and most widely used tool for data processing and analysis. Spectral characteristics are employed extensively in engineering due to their high informative value and reversibility, which makes it possible to perform signal compression and restoration with high calculation accuracy. Questions of spectral signal analysis and descriptions of the main methods for spectrum extraction are examined. An express method for determining the spectral composition of a signal through extreme filtering is considered. The results of processing experimentally registered signals from the paper machine scanner are presented. A method for quick spectrum extraction through extreme filtering is described, which provides the means for analyzing the spectral composition of a signal with the aid of available software tools and obtain visual representations of a wide range of characteristics that help to compile a complete description of the signal under study. The results show the convergence with the minimization of computational effort and simplification of the algorithm. These factors enable the application of this method for quick analysis in technical systems.

1. Stroganov M.P., Beresten' M.P., Mjasnikova N.V. Obrabotka signalov v sistemah diagnostiki. Penza: Izd-vo Penz. gos. tehn. un-ta; 1997. 119 p. (In Russ.)

2. Osadchij E.P. Analiz bystroperemennyh processov v slozhnyh tehnicheskih sistemah. Penza: Izd-vo Penz. gos. tehn. un-ta; 1996. 64 p. (In Russ.)

3. Marpl S.L. Cifrovoj spektral'nyj analiz i ego prilozhenija: per. s angl. M.: Mir; 1990. 584 p.

4. Erohin A.T. Approksimacija mnogojekstremal'nyh funkcij i voprosy szhatogo predstavlenija gravimetricheskoj informacii. Metodika izmerenija gravitacionnyh polej. 1974;12:81–109. (In Russ.)

5. Mjasnikova N.V., Beresten' M.P. Jekstremal'naja fil'tracija i ee prilozhenija. Datchiki i sistemy = Sensors & Systems. 2004;4:8–11. (In Russ.)

6. Mjasnikova N.V., Beresten' M.P. Teoreticheskie osnovy jekspress-analiza. Izvestija vysshih uchebnyh zavedenij. Povolzhskij region. Tehnicheskie nauki. 2006;6:117–123. (In Russ.)

7. Mjasnikova N.V., Stroganov M.P., Beresten' M.P. Modelirujushhie metody spektral'nogo analiza na osnove issledovanija jekstremal'nyh znachenij processa. Cifrovye modeli v proektirovanii i proizvodstve RJeS: Mezhvuz. sb. nauch. tr. 1995;7:59–63. (In Russ.)

8. Mjasnikova N.V., Stroganov M.P., Beresten' M.P. Spektral'nyj analiz na osnove issledovanija jekstremal'nyh znachenij processa. Datchiki sistem izmerenija, kontrolja i upravlenija: Mezhvuz. sb. nauch. tr. 1995;15:80–82. (In Russ.)

9. Mjasnikova N.V., Panov A.P. Metod issledovanija signalov na osnove jekstremal'nyh znachenij i vyborochnoj gistogrammy. Datchiki sistem izmerenija, kontrolja i upravlenija:Mezhvuz. sb. nauch. tr. 2000;19:102–107. (In Russ.)

10. Dolgih L.A., Mjasnikova N.V. Modeli signalov na osnove statisticheskih i korreljacionno-spektral'nyh harakteristik. Datchiki sistem izmerenija, kontrolja, upravlenija. 1998;18:51–57. (In Russ.)

11. Myasnikova N.V., Lysova N.V Application of Modern Digital Processing Methods in Automated Control Systems. Moscow Workshop on Electronic and Networking Technologies (MWENT). DOI:10.1109/MWENT47943.2020.9067381

12. Lysova N., Myasnikova N. Optimal paper web weight control system based on the Pontryagin's maximum principle. E3S Web of Conferences. 2021. DOI 10.1051/e3sconf/202124404013.

13. Lysova N., Myasnikova N. Optimal System for Controlling Paper Web Formation. Lecture Notes in Networks and Systems. 2022;246:853–860. DOI 10.1007/978-3-030-81619-3_95.

14. Lysova N.V., Mjasnikova N.V., Regulirovanie vesa bumazhnogo polotna na osnove metoda jekstremal'noj fil'tracii dlja sistem real'nogo vremeni s pomoshh'ju pokadrovoj obrabotki signala. Inzhenernyj vestnik Dona. 2019;5(56):7. (In Russ.)

15. Osadchij E.P., Beresten' M.P., Mjasnikova N.V., Stroganov M.P. Approksimativnyj sposob spektral'nogo analiza. Otkrytija. Izobretenija. 1987;35:138. (In Russ.)

Myasnikova Nina Vladimirovna
Doctor of Technical Sciences, Professor

Scopus | ORCID | eLibrary |

Penza State University

Penza, Russian Federation

Lysova Natalia Vladimirovna
-, -
Email: natali22000@yandex.ru

Scopus | ORCID | eLibrary |

Penza State University

Penza, Russian Federation

Keywords: spectral analysis, signal digital processing, discrete spectrum, prony filtering, extremal filtering, fourier transform

For citation: Myasnikova N.V. Lysova N.V. Express method for determining the spectral composition of a signal based on extreme filtering. Modeling, Optimization and Information Technology. 2022;10(2). Available from: https://moitvivt.ru/ru/journal/pdf?id=1173 DOI: 10.26102/2310-6018/2022.37.2.027 (In Russ).

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Full text in PDF

Received 11.05.2022

Revised 24.06.2022

Accepted 29.06.2022

Published 29.06.2022