Skip to main content
Log in

Multiscale correlation analysis of nonstationary signals containing quasi-periodic fragments

  • Theory and Methods of Signal Processing
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Processing of complex nonstationary signals, in particular, their structuring, is considered. The problem of detection of quasi-periodic fragments and determination of the quasi-periodicity parameters is discussed. A multiscale time-and-time representation of the nonstationary signals is introduced on the basis of the selected distribution of the correlation type, and the characteristic features of the representation are discussed. Fast realizations of algorithms for calculation of distributions are considered, and the types of window functions allowing fast algorithms are determined. Examples of processing and representation of real biological (cardiographic, encephalographic, and voice) signals are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. E. Franks, Signal Theory (Prentice-Hall, Englewood Cliffs, N.J., 1969; Sovetskoe Radio, Moscow, 1974) [in Russian].

    MATH  Google Scholar 

  2. S. T. Alexander, Adaptive Signal Processing: Theory and Applications (Springer, New York, 1986).

    MATH  Google Scholar 

  3. L. Cohen, Time Frequency Analysis: Theory and Applications (Prentice Hall, Upper Saddle River, NJ, 1995).

    Google Scholar 

  4. O. Rioul and P. Flandrin, IEEE Trans. Signal Process. 40, 1746 (1992).

    Article  MATH  Google Scholar 

  5. Proc. IEEE Int. Conf. Signal Processing and Communications (ICSPC 2007), Dubai, Nov. 24–27, 2007 (IEEE, New York, 2007); http://www.icspc07.org/Program.htm.

  6. S. M. Rytov, Introduction to Statistical Radiophysics (Nauka, Moscow, 1976), Part I, p. 300 [in Russian].

    Google Scholar 

  7. V. E. Antsiperov, V. A. Morozov, and S. A. Nikitov, Radiotekh. Elektron. (Moscow) 51, 1441 (2006) [J. Commun. Technol. Electron. 51, 1356 (2006)].

    Google Scholar 

  8. J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Mallat, IEEE Pattern Anal. Machine Intell. 11, 674 (1989).

    Article  MATH  Google Scholar 

  10. R. E. Blahut, Fast Algorithms for Digital Signal Processing (Addison-Wesley Pub. Co., Reading, Mass., 1985; Mir, Moscow, 1989).

    MATH  Google Scholar 

  11. A. Goldberger, L. A. N. Amaral, L. Glass, et al., “Components of a New Research Resource for Complex Physiologic Signals”, PhysioToolkit, and PhysioNet, Circulation, 101(23) (June 13), e215–e220 (2000).

    Google Scholar 

Download references

Authors

Additional information

Original Russian Text © V.E. Antsiperov, 2008, published in Radiotekhnika i Elektronika, 2008, Vol. 53, No. 1 pp. 73–85.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antsiperov, V.E. Multiscale correlation analysis of nonstationary signals containing quasi-periodic fragments. J. Commun. Technol. Electron. 53, 65–77 (2008). https://doi.org/10.1134/S1064226908010099

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226908010099

PACS numbers

Navigation