The Problem Solving Algorithm Time-Frequency Signals Analysis based on Behavior Functions and Arithmetic Series

α
Victor Bocharnikov
Victor Bocharnikov

Send Message

To: Author

The Problem Solving Algorithm Time-Frequency Signals Analysis based on Behavior Functions and Arithmetic Series

Article Fingerprint

ReserarchID

E08NH

The Problem Solving Algorithm Time-Frequency Signals Analysis based on Behavior Functions and Arithmetic Series Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

Abstract

This article is devoted to time-frequency signals analysis algorithm. This algorithm introduce the approach based on behavior functions and arithmetic series. The basis of p-adic numbers will be used to describe the discrete signal values. It will allow to build system behavior functions as a distribution of possibility measure. The function data analysis allows to perform the meta systems identification and build impulse functions. These functions will be used for estimation of frequency spectrum of initial signal. The study results of the algorithm performance on non-stationary signals model are given.

References

22 Cites in Article
  1. Ingrid Daubechies (1988). Orthonormal bases of compactly supported wavelets.
  2. Henning Harmuth (1969). Transmission of Information by Orthogonal Functions.
  3. J Kovaˇceviґc,V Goyal,M Vetterli (2013). Unknown Title.
  4. K Beauchamp (1984). Applications of Walsh and Related Functions.
  5. C Heil,D Walnut (1989). Continuous and discrete wavelet transforms.
  6. O Rioul,P Duhamel (1992). Fast algorithms for discrete and continuous wavelet transforms.
  7. В Бочарніков (2018). Частотно-часовий аналіз сигналів на основі функцій поведінки і арифметичних рядів. Частина 1. Аналіз підходів та опис методу. Збірник наукових праць центру воєнно-стратегічних досліджень НАОУ імені Івана Черняховського.
  8. D Gabor (1946). Theory of communication. Part 3: Frequency compression and expansion.
  9. Ingrid Daubechies (1998). Orthonormal bases of compactly supported wavelets.
  10. N Huang (2005). BACK MATTER.
  11. Zhaohua Wu,Norden Huang (2008). ENSEMBLE EMPIRICAL MODE DECOMPOSITION: A NOISE-ASSISTED DATA ANALYSIS METHOD.
  12. G Klir,D Elias (1985). Architecture of Systems Problem Solving.
  13. Viktor Bocharnikov,Sergey Sveshnikov (2012). Systemic Features of Military-Political Situation in Ukraine During 2012-2018.
  14. В Бочарников (2002). СИСТЕМА ПОДДЕРЖКИ ПРИНЯТИЯ ВРАЧЕБНЫХ РЕШЕНИЙ ПРИ ДИАГНОСТИКЕ ЗАБОЛЕВАНИЯ ПЕЧЕНИ.
  15. K Hensel Untersuchung der Fundamentalglelchung einer Gattung fur eine reelle Prlmzahl als Modul und Bestimmung der Theiler Ihrer Discriminante.
  16. С Каток (2004). p -адический анализ в сравнении с вещественным / Пер. с англ.
  17. Masahiko Higashi,George Klir (1983). MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS.
  18. Karl Borgwardt,Heinz (1987). The simplex algorithm takes on average D steps for a cube. The simplex method: A probabilistic analysis.
  19. V Bocharnikov,I Bocharnikov (2013). Simplified and adopted to the MatLab fuzzy filter of UAV's flight parameters.
  20. V Bocharnikov,I Bocharnikov (2012). Optimal discrete fuzzy filter of UAV's flight parameters.
  21. John Taylor (1997). An introduction to error analysis: the study of uncertainties in physical measurements.
  22. Victor Bocharnikov,Ilya Bocharnikov (2010). DISCRETE FUZZY FILTER OF UAV’S FLIGHT PARAMETERS.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Victor Bocharnikov. 2019. \u201cThe Problem Solving Algorithm Time-Frequency Signals Analysis based on Behavior Functions and Arithmetic Series\u201d. Global Journal of Research in Engineering - F: Electrical & Electronic GJRE-F Volume 19 (GJRE Volume 19 Issue F1): .

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-F Classification: FOR Code: 090699
Version of record

v1.2

Issue date

May 9, 2019

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 2984
Total Downloads: 1294
2026 Trends
Related Research

Published Article

This article is devoted to time-frequency signals analysis algorithm. This algorithm introduce the approach based on behavior functions and arithmetic series. The basis of p-adic numbers will be used to describe the discrete signal values. It will allow to build system behavior functions as a distribution of possibility measure. The function data analysis allows to perform the meta systems identification and build impulse functions. These functions will be used for estimation of frequency spectrum of initial signal. The study results of the algorithm performance on non-stationary signals model are given.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

The Problem Solving Algorithm Time-Frequency Signals Analysis based on Behavior Functions and Arithmetic Series

Victor Bocharnikov
Victor Bocharnikov

Research Journals