ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Makarenko A. V. A new approach of form and signal structure description and analysis. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 4, pp. 71-86. DOI: 10.18500/0869-6632-2006-14-4-71-86

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 160)
Article type: 

A new approach of form and signal structure description and analysis

Makarenko Andrej Viktorovich, Research group "Constructive Cybernetics"

A new approach to describe and analysis the structural and forming characteristics in time domain of signals are presented here. This approach is based on the decomposition of initial process into individual components, which are characteristic of the structure of its curving, and corresponding calculations for different configuration, energy and information parameters.

Key words: 
  1. Krasovsky AA, editor. Handbook on the Theory of Automatic Control. Moscow: Nauka, Fizmatlit; 1987. 712 p. (In Russian).
  2. Bendat J, Piersol А. Analysis and Measurement Procedures. New York: Wiley; 1989. 526 p.
  3. Bendat J, Piersol A. Engineering applications of correlation and spectral analysis. New York: Wiley; 1980. 312 p.
  4. Chui C. An Introduction to Wavelets. New York: Academic Press; 2001. 412 p.
  5. Koronovsky AA, Hramov AE. Continuous waveform analysis and its applications. Moscow: Fizmatlit; 2003. 176 p. (In Russian).
  6. Kharkevich AA. Spectra and analysis. Moscow: Svyaz; 1957. 236 p. (In Russian).
  7. Astanin LYu, Kostylev AA. Fundamentals of ultra-wide-band radar measurements. Moscow: Radio i Svyaz; 1989. 192 p. (In Russian).
  8. Astafieva NM. Wavelet analysis: basic theory and some applications. Phys. Usp. 1996;39(11):1085–1108. DOI: 10.3367/UFNr.0166.199611a.1145.
  9. Leontovich MA. Introduction to thermodynamics. Statistical physics. Moscow: Nauka; 1983. 416 p. (In Russian).
  10. Kuznetsov SP. Dynamic chaos. Moscow: Fizmatlit; 2001. 296 p. (In Russian).
  11. Takens F. Lecture Notes in Mathematics. Eds D. Rand, L-S. Young. New York: Springer-Verlag; 1981. P. 366.
  12. Nemytsky VV, Stepanov VV. Qualitative theory of differential equations. Moscow: URSS; 2004. 552 p. (In Russian).
  13. Bautin NN, Leontovich MA. Methods and techniques of qualitative research of dynamic systems on the plane. Moscow: Nauka; 1990. 488 p. (In Russian).
  14. Makarenko AV. On one approach to describing and analyzing the shape and structure of the signal. Reports of the I international scientific conference "Ultra-wideband signals and ultra-short pulses in radar, communications, acoustics." Suzdal: VlSU; 2005. (In Russian).
  15. Makarenko AV. Geometric approach to the description and analysis of the dynamic structure of the signal. Materials of the XIII Winter Seminar on Microwave Electronics and Radiophysics. Saratov: Kolledg; 2006. P.119. (In Russian).
  16. Lurie AI. Analytical mechanics. Мoscow: Fizmatlit; 1961. 824 p. (In Russian).
  17. Novikov SP, Fomenko AT. Elements of differential geometry and topology. Мoscow: Nauka; 1987. 432 p. (In Russian).
  18. Einstein A. Zur Elektrodynamik der bewegter Korper. Ann. der Physik. 1905;17:891-921.
  19. Harmuth H. Information theory applied to space-time physics. Washington: World Scientific; 1992. 306 p.
  20. Efremova TF. New dictionary of the Russian language. Interpretive-word formation. Moscow: Russkiy yazik; 2000. 1084 p. (In Russian).
  21. Kreismer LP. Technical Cybernetics. Moscow: Energia; 1964. 88 p. (In Russian).
  22. Gantmacher FR. Matrix Theory. Moscow: Fizmatlit; 2004. 560 p. (In Russian).
  23. Fichtengoltz GM. Course of differential and integral calculus. Moscow: Fizmatlit; 2003. 680 p. (In Russian).
  24. Makarenko AV. The criterion of signal complexity is the dynamic curvature of its trajectory in the extended space of states. Reports of the VIII International Scientific and Technical Conference "Digital Signal Processing and Its Application". Moscow: IPU RAS; 2006. (In Russian).
  25. Pugachev VS. Lectures on functional analysis. Moscow: MAI Publ.; 1996. 744 p. (In Russian).
Short text (in English):
(downloads: 63)