Skip to main content
Log in

Mathematical principles for setting signal processing systems and regularization

  • Proceedings of the XV All-Russian Seminar “Physics and the Application of Microwaves” (Waves 2015) Named after Prof. A.P. Sukhorukov
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

An apparatus function (AF) is selected using the mathematical principles of settings (MPS) so that the norm of its resolving or inverse function would be minimal within limits of tolerance that are less than the AF setting error. This would allow us to obtain solutions to inverse problems with the highest possible accuracy and limiting high resolution. In MPS, the result is reversible and there is no a priori smoothness of the solution with residual error, as there is in regularization.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Tikhonov, A.N. and Ufimtsev, M.V., Statisticheskaya obrabotka rezul’tatov eksperimenta (Statistical Processing of Experimental Results), Moscow: Mosk. Gos. Univ., 1988.

    Google Scholar 

  2. Pyt’ev, Yu.P., Metody matematicheskogo modelirovaniya izmeritel’no-vychislitel’nykh sistem (Mathematical Simulation Methods for Measuring-Calculating Systems), Moscow: Fizmatlit, 2012.

    Google Scholar 

  3. Terentiev, E.N. and Terentiev, N.E., Proc. SPIE, 2006, vol. 6246, p. 263.

    Google Scholar 

  4. Shugaev, F.V. and Terentiev, E., N., et al, Proc. SPIE, 2007, vol. 6747, p. 67470K.

    Article  Google Scholar 

  5. Terentiev, E.N., Terentiev, N.E., and Poluyanov, Yu.V., Proc. 8th Pacific Symp. on Flow Visualization and Image Processing, Moscow, 2011.

    Google Scholar 

  6. Terentiev, E.N. and Terentiev, N.E., 7-ya mezhd. konf. Akustoopticheskie i radiolokatsionnye metody izmerenii i obrabotki informatsii (Proc. 7th Int. Conf. Acoustooptic and Radiolocating Methods for Measurement and Data Processing), Suzdal, 2014, pp. 49–53.

    Google Scholar 

  7. Terentiev, E.N. and Terentiev, N.E., 7-ya mezhd. konf. Akustoopticheskie i radiolokatsionnye metody izmerenii i obrabotki informatsii (Proc. 7th Int. Conf. Acoustooptic and Radiolocating Methods for Measurement and Data Processing), Suzdal, 2014, pp. 53–57.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. N. Terentiev.

Additional information

Original Russian Text © E.N. Terentiev, N.E. Terentiev, 2015, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2015, Vol. 79, No. 12, pp. 1633–1637.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Terentiev, E.N., Terentiev, N.E. Mathematical principles for setting signal processing systems and regularization. Bull. Russ. Acad. Sci. Phys. 79, 1427–1431 (2015). https://doi.org/10.3103/S1062873815120229

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873815120229

Keywords

Navigation