Skip to main content
SpringerLink
Log in

Restoration of a signal and its instantaneous spectral characteristics by the sliding window method

  • Optics, Quantum Electronics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A new algorithm is suggested that makes it possible to gain information on the dynamics of the spectral lines of the response from a medium by singly measuring the integral characteristics of the signal. A technique of separating out algorithm-induced spurious frequencies that are present in the restored signal from true frequencies is described. The efficiency of the algorithm is demonstrated with processing the response of an L-cystine molecule subjected to a short-period terahertz pulse. The results are compared with those obtained by the Fourier-Gabor method, which was tried out in an earlier physical experiment.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Cohen, Proc. IEEE 77, 941 (1989).

    Article  ADS  Google Scholar 

  2. V. A. Trofimov and V. N. Safonov, in Proceedings of the 28th International European Conference on Laser Interaction with Matter (ECLIM’04), Roma, 2004, p. 10.

  3. V. N. Safonov, V. A. Trofimov, and A. P. Shkurinov, Zh. Tekh. Fiz. 76(4), 78 (2006) [Tech. Phys. 51, 470 (2006)].

    Google Scholar 

  4. C. K. Chui, Introduction to Wavelets (Academic, New York, 1992; Mir, Moscow, 2001).

    MATH  Google Scholar 

  5. D. K. Skripov and V. A. Trofimov, Zh. Tekh. Fiz. 73(3), 69 (2003) [Tech. Phys. 48, 344 (2003)].

    Google Scholar 

  6. D. K. Skripov and V. A. Trofimov, Zh. Tekh. Fiz. 74(2), 77 (2004) [Tech. Phys. 49, 218 (2004)].

    Google Scholar 

  7. M. M. Nazarov, L. S. Mukina, A. V. Shuvaev, et al., Laser Phys. Lett. 2, 471 (2005).

    Article  Google Scholar 

  8. A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Nauka, Moscow, 1974; Halsted, New York, 1977).

    Google Scholar 

  9. V. A. Il’in and E. G. Poznyak, Linear Algebra (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  10. V. V. Voevodin, Numerical Methods of Algebra (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  11. G. S. Shevtsov, Linear Algebra: Theory and Applied Aspects (Finansy i Statistika, Moscow, 2003) [in Russian].

    Google Scholar 

  12. V. A. Trofimov and D. K. Skripov, Proc. SPIE 4002, 34 (2000).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Leninskie gory, Moscow, 119992, Russia

    S. A. Varentsova & V. A. Trofimov

Authors
  1. S. A. Varentsova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Trofimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © S.A. Varentsova, V.A. Trofimov, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 5, pp. 58–64.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Varentsova, S.A., Trofimov, V.A. Restoration of a signal and its instantaneous spectral characteristics by the sliding window method. Tech. Phys. 52, 593–599 (2007). https://doi.org/10.1134/S106378420705009X

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106378420705009X

PACS numbers

Search

Navigation